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Voltage, current, power, and Kirchhoff’s laws

Define circuit variables with consistent references, connect Kirchhoff constraints to charge and field laws, solve and audit an original multi-node network, and prove the topology behind power balance without losing storage, measurement or distributed limits.

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After reading, you can

  • Distinguish current, terminal voltage, emf, power and transferred energy with their SI units.
  • Choose associated branch references and interpret negative values without redrawing physical connections.
  • Use physical charge continuity and ideal-node KCL with consistent storage boundaries.
  • Explain circuit KVL and its relation to Faraday circulation and explicit induced elements.
  • Solve the complete original network and reconcile every branch current, voltage and power.
  • Derive incidence rank, cycle/cut-space dimensions and Tellegen’s identity with its assumptions.
  • Distinguish actual power from a mixed-state bilinear pairing.
  • Recognize constitutive closure, inconsistent ideal constraints and nonunique source sharing.
  • Include meter loading, physical returns, lead paths and propagation limits in model choice.
01

From fields to circuit ports

Circuit theory replaces a spatial electromagnetic system by a graph of terminal relations. That replacement is useful because we often need a terminal current, voltage or energy transfer rather than every field value in space. It is a model with a chosen boundary and accuracy range. A line in a schematic does not prove that a real conductor has no resistance, inductance, capacitance, delay or coupling to its surroundings.

This lesson keeps three kinds of statement separate. Charge continuity and Faraday’s law describe physical fields and boundaries. Kirchhoff constraints describe compatible variables on a specified circuit graph. Constitutive relations describe the elements put on that graph. A numerical answer is physically useful only when all three descriptions fit the situation.

Our main example is an original five-node network with two voltage constraints, five positive resistors and one current constraint. It contains a resistor current opposite its assigned arrow and a voltage source absorbing power. Every scientific number in its retained model is an exact rational, chosen for teaching rather than taken from measurements. No device rating, cable measurement or battery chemistry is being inferred.

02

Choose a first and advanced path

On a first reading, establish the voltage and current references, learn the passive power convention, distinguish a physical charge-storage region from an ideal junction, and solve the original network. Then use the power ledger and meter example to test what the answer means. A negative current is information, not a request to redraw the problem halfway through.

The advanced return develops incidence, cycle and cut spaces, proves their dimensions, and derives Tellegen’s identity. It then distinguishes a mixed-state bilinear pairing from actual power, and treats consistency and nonuniqueness of ideal constraints. The final measurement and propagation sections reconnect the graph to the electromagnetic conditions that made it possible.

The earlier lessons on capacitors, conduction, induction and Maxwell’s equations provide the field and energy background. Return to their definitions when storage or a changing linked flux matters. Full DC network theorems belong to the next lesson, and RC/RL initial-value solutions belong to the following one; neither is developed here.

03

Choose every reference before solving

Give each branch an arbitrary tail and head. Define its reference current i_b positive from tail to head. Put the assigned + voltage label at the tail and − at the head, so v_b=e_tail−e_head when node potentials describe the branch. These are definitions of positive values. A + mark does not promise that the marked terminal will end up at higher potential.

With this associated choice, positive reference current enters the assigned + terminal. We use it on resistors, sources and storage elements alike. If a calculated current is negative, its conventional physical direction is opposite the reference arrow. Electron drift is a different microscopic direction convention; it does not require changing the signs in the network equations.

To reverse a branch reference consistently, reverse both voltage polarity and current arrow: v′_b=−v_b and i′_b=−i_b. Then p′_b=v′_bi′_b=v_bi_b. Reversing only one reference is possible, but the associated power formula changes sign. Keeping p=vi while secretly reversing only the current is a bookkeeping error.

04

Distinguish voltage, current and emf

Current is an oriented rate of charge crossing a section: I=∫J·n dA, with the surface normal chosen along the reference direction. It is not the amount of charge already stored in a component. For a simple terminal transfer, dq/dt=i with a compatible signed definition of q. A voltage describes an energy-per-charge difference at a port under the conditions that define that port.

In the electrostatic limit, E=−∇φ and the voltage drop from a to b is φ(a)−φ(b)=∫_a^b E·dl. Changing φ by the same constant everywhere changes no branch voltage. When a changing magnetic field makes E nonconservative, different integration paths can give different drops. A single scalar-potential difference cannot then stand in for every physical path integral.

An emf is an oriented circulation of force per unit charge around a specified circuit path; for a fixed path and ordinary electromagnetic induction, its electric contribution is ∮E·dl. It has volts as units despite its historical name. An ideal chemical-source voltage, an induced emf, and a measured terminal drop can be related in a model, but they are not interchangeable definitions in every field configuration.

05

Use passive power signs

For the associated terminal references, p_b(t)=v_b(t)i_b(t) is the power entering the element through that port. Positive p means absorption from the rest of the circuit; negative p means delivery to it. The signed transferred energy over an interval is ∫p_b(t)dt. For changing signals the average of vi need not equal the product of the separate averages.

The convention does not assert that an element is passive. A positive resistor obeying v=Ri has p=Ri²≥0. A charged capacitor or inductor may have p<0 while returning previously stored energy and still be passive. Passivity constrains energy over an interval, including the initial stored energy; it is stronger and more useful than an instantaneous sign label.

Our four generic port controls use v=±4 V and i=±3/10 A. Equal signs give p=+6/5 W and opposite signs give p=−6/5 W. A negative voltage and negative current therefore describe absorption under these references. Neither sign alone tells the direction of net energy transfer.

06

Let a source absorb energy

An ideal voltage source constrains v, while its current is set by the connected network. An ideal current source constrains i, while the network sets its voltage. Either can absorb, deliver or exchange zero power. The word source is an element-model name, not a guarantee that its instantaneous absorbed power is negative.

In the main example, the 3 V constraint has current entering its assigned positive terminal, so it absorbs power. This is the sign pattern relevant to charging, although an ideal fixed voltage alone does not describe a real battery’s state of charge, efficiency or admissible charging current. Real supplies also have current, voltage, thermal and energy limits that the ideal constraints omit.

A zero-strength ideal voltage source enforces v=0 and acts as an ideal short; a zero-strength ideal current source enforces i=0 and acts as an ideal open. Neither mathematical operation is a general description of switching off a physical instrument. Its actual output behavior must come from its circuit or specification.

07

Keep SI units in the ledger

Current, voltage, power and energy answer different questions. One ampere is one coulomb per second; one volt is one joule per coulomb; their product is one watt. Integrating watts over seconds gives joules. A family of DC states indexed by a source current is not a time history, so integrating its power against that current would not give transferred energy.

All original circuit values below are in SI units. Fractions such as 117/32 V are exact numbers in the illustrative mathematical model, not experimental uncertainty statements. Exact arithmetic removes arithmetic rounding from a consistency check; it does not remove errors caused by an inadequate device or field model.

Our main source parameter is J_s, measured in amperes, and it labels separate static equilibria. The meter parameter α is a dimensionless conductance ratio. Neither is elapsed time, frequency or a hidden physical clock.

Terminal variables, storage and model parameters in SI
QuantityUnitsMeaning or restriction
iA = C/sOriented terminal current
v, emfV = J/CPort drop or specified force-per-charge circulation; distinguish their definitions
p = viW = J/sInstantaneous absorbed port power
E_abs = ∫p dtJSigned transferred energy; integrate over physical time
R, C, LΩ, F, HConstitutive parameters with stated regime
J_sAStatic current-source setpoint, not time
α1Static meter-conductance ratio, not time
08

Start from local charge continuity

For a fixed physical volume, charge continuity gives ∂ρ/∂t+∇·J=0. Integrating it gives dQ_inside/dt=−∮J·n_out dA. With terminal currents defined outward from that volume, their sum equals −dQ_inside/dt. A mismatch between incoming and outgoing conduction currents can be a real rate of charge accumulation.

An ideal circuit junction uses Σi_out=0 when no residual charge-storage degree of freedom is assigned to that junction. This is a modelling choice about the boundary and retained variables, not a claim that charges cannot rearrange on a real wire. Small surface-charge distributions can establish the fields that guide steady currents even when their time derivative is negligible.

For a collection of ideal junctions, adding their KCL equations cancels every internal branch current once with each sign. Only boundary currents remain. This gives wide-area KCL for a subnetwork with the same no-unmodelled-storage assumption. If the physical region stores net charge, its derivative belongs in that physical boundary equation instead of being silently discarded.

09

Put storage on the correct side of the boundary

In the original storage control, currents 5 mA and 3 mA enter a physical region and 6 mA leaves. Its net incoming current is 2 mA, so dQ/dt=2 mC/s. Calling the sum zero would contradict the specified boundary currents. The underlying continuity law has not failed.

One alternative circuit representation puts a 4 nF capacitance between an ideal junction and the reference node. The extra capacitor branch then carries 2 mA outward from the junction, giving −5−3+6+2=0 mA at that ideal junction. With q=Cv on the positive plate, dv/dt=i_C/C=500000 V/s. Storage is assigned to the capacitor, rather than retained a second time inside the ideal junction.

Do not add both this capacitor current and the same dQ/dt again to the ideal-node equation. That counts the same storage twice. In an ideal two-terminal capacitor, equal and opposite plate charges may both change while the total net charge of the complete element remains zero. Conduction current through the dielectric is not required for the terminal capacitor-current model; the electromagnetic description also includes displacement current.

10

Separate dissipation from energy return

At the chosen capacitor instant, v=3/2 V, C=4 nF and i_C=2 mA. The positive-plate charge is 6 nC, stored energy Cv²/2 is 9/2 nJ, and absorbed power vi is 3 mW. The ideal capacitor stores this instantaneous input; its positive power is not Joule heating. These statements specify an instant and its derivative, not a solved RC charging transient.

For a separate fixed linear inductor, L=3/5 H, i=−2 A and di/dt=1/4 A/s. The associated voltage is L di/dt=3/20 V, so p=−3/10 W. Its stored energy is Li²/2=6/5 J and dW/dt=Li di/dt=−3/10 W. The current is negative but moving toward zero in magnitude, consistent with release of stored energy.

The constant C and L expressions used here have already declared the constitutive assumptions. Nonlinear, hysteretic or moving devices require their own energy relations and mechanical/source accounting. An ideal graph power balance is not permission to apply Cv²/2 or Li²/2 outside those assumptions.

Reference signs and storage boundaries

Read passive power signs and distinguish a physical charge-storage volume from an ideal junction with an explicit capacitor branch.

Associated voltage/current references and passive power

  • Positive absorbed power
  • Negative absorbed power (delivery)
Associated voltage/current references and passive powerFour independent exact port controls separate the signs of voltage, current and absorbed power.-4-2024-0.4-0.200.20.4Absorbed p = 6/5 WDelivered: p = -6/5 WDelivered: p = -6/5 WAbsorbed p = 6/5 WAssigned current i (A), entering the positive terminalAssigned terminal voltage v (V); four independent controlsCurrent enters +: p=vi. Negative voltage and negative current can still give p>0.

Place charge storage on the correct side of a boundary

    Place charge storage on the correct side of a boundaryThe same instantaneous storage control is represented either by a physical charge-changing volume or by an explicit capacitor branch at an ideal junction; a separate inductor releases stored energy.Two alternative boundaries for the same charge-storage controlFixed physical volumeincoming 1/200 Aincoming 3/1000 Aoutgoing 3/500 AdQ/dt = 1/500 C/sΣ outward I = -1/500 AΣ outward I = −dQ/dtAlternative ideal junction: add i_C=dQ/dt, then Σ branch currents = 0.Capacitor branch i_C = 1/500 Adv/dt = 500000 V/sStored capacitor energy = 9/2000000000 JCapacitor absorbed power = 3/1000 WSeparate inductor snapshot: stored energy can decreasei = -2 Av = 3/20 Vp = dW/dt = -3/10 WW = 6/5 JArrows fix flow references; lengths are schematic. No RC/RL time history is plotted.
    • Current enters the assigned positive terminal, and p=vi is absorbed power. Either voltage or current may be negative; a source can absorb energy. The four points are independent controls, not a trajectory.
    • A fixed physical storage volume obeys sum of outward currents = −dQ/dt. A different ideal zero-storage junction includes a capacitor branch explicitly. Do not count that same charge change twice.
    • Capacitor and inductor values are instantaneous controls with their own SI units. Negative inductor power returns stored energy; neither drawing solves an RC or RL transient.

    Terminal variables, storage and model parameters in SI

    Reference signs and storage boundaries — complete exact source quantities (34 exact quantities)

    All original states and controls remain here, including matrix, residual, reference-change and mixed-pairing quantities. Each value is the raw exact reduced rational from its labelled source path.

    Reference signs and storage boundaries — complete exact source quantities
    Source quantity and recordExact rational valueSI units or interpretation
    one Port Signs · entry 0 · voltage VonePortSigns/0/voltageV-4V
    one Port Signs · entry 0 · current AonePortSigns/0/currentA-3/10A
    one Port Signs · entry 0 · absorbed Power WonePortSigns/0/absorbedPowerW6/5W
    one Port Signs · entry 1 · voltage VonePortSigns/1/voltageV-4V
    one Port Signs · entry 1 · current AonePortSigns/1/currentA3/10A
    one Port Signs · entry 1 · absorbed Power WonePortSigns/1/absorbedPowerW-6/5W
    one Port Signs · entry 2 · voltage VonePortSigns/2/voltageV4V
    one Port Signs · entry 2 · current AonePortSigns/2/currentA-3/10A
    one Port Signs · entry 2 · absorbed Power WonePortSigns/2/absorbedPowerW-6/5W
    one Port Signs · entry 3 · voltage VonePortSigns/3/voltageV4V
    one Port Signs · entry 3 · current AonePortSigns/3/currentA3/10A
    one Port Signs · entry 3 · absorbed Power WonePortSigns/3/absorbedPowerW6/5W
    junction Storage · incoming Currents A · entry 0junctionStorage/incomingCurrentsA/01/200A
    junction Storage · incoming Currents A · entry 1junctionStorage/incomingCurrentsA/13/1000A
    junction Storage · outgoing Current AjunctionStorage/outgoingCurrentA3/500A
    junction Storage · physical Net Out AjunctionStorage/physicalNetOutA-1/500A
    junction Storage · charge Derivative Cper SjunctionStorage/chargeDerivativeCperS1/500C/s
    junction Storage · capacitance FjunctionStorage/capacitanceF1/250000000F
    junction Storage · voltage VjunctionStorage/voltageV3/2V
    junction Storage · positive Plate Charge CjunctionStorage/positivePlateChargeC3/500000000C
    junction Storage · voltage Derivative Vper SjunctionStorage/voltageDerivativeVperS500000V/s
    junction Storage · capacitor Current AjunctionStorage/capacitorCurrentA1/500A
    junction Storage · stored Energy JjunctionStorage/storedEnergyJ9/2000000000J
    junction Storage · absorbed Power WjunctionStorage/absorbedPowerW3/1000W
    junction Storage · physical Continuity Residual AjunctionStorage/physicalContinuityResidualA0A
    junction Storage · ideal Node Including Capacitor Residual AjunctionStorage/idealNodeIncludingCapacitorResidualA0A
    junction Storage · wrong Double Count Residual AjunctionStorage/wrongDoubleCountResidualA1/500A
    inductor Snapshot · inductance HinductorSnapshot/inductanceH3/5H
    inductor Snapshot · current AinductorSnapshot/currentA-2A
    inductor Snapshot · current Derivative Aper SinductorSnapshot/currentDerivativeAperS1/4A/s
    inductor Snapshot · passive Voltage VinductorSnapshot/passiveVoltageV3/20V
    inductor Snapshot · absorbed Power WinductorSnapshot/absorbedPowerW-3/10W
    inductor Snapshot · stored Energy JinductorSnapshot/storedEnergyJ6/5J
    inductor Snapshot · energy Derivative WinductorSnapshot/energyDerivativeW-3/10W

    Each graph and exact table scrolls within its own labelled region. Focus the region to use horizontal arrow keys. The data tables retain exact rational values; plotted decimals do not add scientific precision.

    11

    Derive KVL from node potentials

    Assign a potential e_n to every node of a lumped graph. Along any branch from tail to head define v_b=e_tail−e_head. Traversing a closed walk sums differences that telescope: every visited node potential appears once with each sign. The signed branch-voltage sum is therefore zero. This algebraic KVL identity follows from the chosen node-potential representation.

    For a physical electrostatic field, that representation follows from the gradient relation and a sufficiently well-defined terminal/interconnect geometry. For inductors, transformers or externally driven flux, the relevant induced terminal effects must already be included in the branch models. KVL does not require that the magnetic energy inside every element vanish.

    The physical statement ∮E·dl=−dΦ_B/dt for a fixed spatial contour remains valid. If appreciable changing flux links an unmodelled interconnect loop, assigning each measured path integral to a single path-independent node voltage is inadequate. One must refine the circuit model and specify the paths, or return to a distributed field description.

    12

    Account for changing linked flux

    Take the separate fixed loop with positive counterclockwise contour and +z normal. Its prescribed external flux grows at 3/5 Wb/s, so e_ind=−3/5 V. With resistance 3 Ω, and negligible self-inductance over the stated local interval, the loop current referred counterclockwise is I=e_ind/R=−1/5 A. It is clockwise, opposing the increase in linked flux in this resistive model.

    A lumped bookkeeping description places the assigned induction in an explicit series emf element. Its passive drop along the positive loop is v_s=−e_ind=+3/5 V, while the resistor drop is v_R=RI=−3/5 V. Then v_R+v_s=0, resistor power is +3/25 W, and assigned source power is −3/25 W. The energy enters from the external system producing the changing flux; the ideal source symbol is not a chemical battery.

    This formal circuit voltage balance does not assert that the physical electric circulation is zero or that a global electrostatic potential exists around that loop. It is a chosen source/path assignment for a prescribed-flux, quasistatic, fixed-loop model. Neglecting startup and self-inductance is explicit. Do not include the same external flux again as an extra emf, and do not count a self-linkage voltage both inside v_L=dλ/dt and once more outside the inductor.

    13

    Define the original five-node network

    The node order is n0, a, b, c, d. Choose e_n0=0 as a reference only. Each branch below has current from its tail to its head and the associated + voltage label at its tail. Two branches b4 and b7 connect b to c in parallel; one is a resistor and the other a current constraint. Their shared voltage does not make their currents equal.

    The ideal voltage constraints set e_a=12 V and e_d=3 V. The worked current-source setting is J_s=3/2 A from b to c. All five resistances are constant and positive. This is a DC ideal-element example: no battery chemistry, temperature rise, lead impedance, stray capacitance or propagation time is being solved.

    The retained family has 33 distinct settings J_s=k/16 A for integers k=0 through 32. Every setting is solved and audited separately. The row at J_s=3/4 A is an exact resistor-current reversal control; the principal worked row is J_s=3/2 A. Neither setting sequence specifies how quickly a physical source is changed.

    Original five-node, eight-branch network and associated references
    BranchTail → headElementSpecified value
    b0a → n0ideal voltage constraint12 V
    b1d → n0ideal voltage constraint3 V
    b2a → bresistor6 Ω
    b3b → n0resistor9 Ω
    b4b → cresistor3 Ω
    b5c → dresistor4 Ω
    b6c → n0resistor12 Ω
    b7b → cideal current constraintJ_s (setpoint in A)
    14

    Close the unknown-node equations

    Write KCL with outgoing currents positive at b and c. At b: (e_b−12)/6+e_b/9+(e_b−e_c)/3+J_s=0. At c: (e_c−e_b)/3+(e_c−3)/4+e_c/12−J_s=0. The current constraint enters these equations with opposite signs because it leaves b and enters c.

    The unknown-node system is G[e_b,e_c]ᵀ=[(2 A)−J_s,(3/4 A)+J_s]ᵀ, where G=[11/18,−1/3;−1/3,2/3] S. The matrix entries have siemens units, the right side has amperes, and the unknowns have volts. Its determinant is 8/27 S², nonzero. Thus this chosen positive-resistor network and its imposed voltages give a unique pair of unknown node potentials.

    Once those potentials are known, every resistor current follows from its associated voltage divided by its resistance. KCL at a then gives i_b0=−i_b2, while KCL at d gives i_b1=i_b5. These are the currents through ideal voltage constraints, not extra values that may be independently specified. The remaining node equation is redundant after all branch currents have been counted consistently.

    15

    Read the negative-current solution

    For J_s=3/2 A the solution is e_b=117/32 V and e_c=333/64 V. Together with e_a=12 V, e_d=3 V and e_n0=0, these values determine the full branch table. The exact fractions are retained so that voltage, current and power signs can be checked without decimal rounding.

    Branch b4 has voltage −99/64 V and current −33/64 A relative to b → c. Its physical conventional current therefore runs from c to b. Both references are negative together, so its absorbed power is positive, 3267/4096 W. A negative Ohmic current is perfectly consistent with a positive resistance.

    The parallel current constraint b7 has the same voltage −99/64 V but imposed current +3/2 A. Its power is −297/128 W: it delivers energy. Branch b1, the 3 V constraint, has current +141/256 A and absorbs 423/256 W. Different source symbols in one network need not share the same power direction.

    An oriented network and its static source family

    Keep every branch reference visible, then compare the complete current family without turning a source setpoint into time.

    The original five-node, eight-branch oriented graph

    • Fixed reference arrows, tail to head
    • Separate imposed-current branch b7
    The original five-node, eight-branch oriented graphEvery reference points from its branch tail to head. A negative current means actual current opposite that reference, not a rewired network.All arrows are tail→head references; negative currents flow opposite the arrow.J=3/2 A; schematic graph positions.a = 12 Vb = 117/32 Vc = 333/64 Vd = 3 Vn0 = 0 Vb2 (6 Ω)b4 (3 Ω)b5 (4 Ω)b7: imposed J, separate parallel branchb0 (12 V constraint)b1 (3 V constraint)b3 (9 Ω)b6 (12 Ω)Main-state branch currents, A (sign relative to the drawn reference):b0: -89/64b1: 141/256b2: 89/64b3: 13/32b4: -33/64b5: 141/256b6: 111/256b7: 3/2n0 is an arbitrary potential reference, not an Earth or safety connection.

    A static source family with a branch-current reversal

    • b0: reference current in A
    • b1: reference current in A (coincident thick orange)
    • b2: reference current in A
    • b3: reference current in A
    • b4: reference current in A
    • b5: reference current in A (coincident thin pink dots)
    • b6: reference current in A
    • b7: reference current in A
    A static source family with a branch-current reversalAll eight branch currents use all 33 DC source setpoints; the exact b4 zero at J=3/4 A is retained.00.50.7511.52-1.5-1-0.500.511.52b4: exact zero at J=3/4 AEvery branch current (A), with its fixed referenceCurrent-source setpoint J (A): 33 distinct DC equilibria, NOT timeChanging a reference reverses v and i together; p is unchanged. No rewiring is implied.
    • All five nodes and eight branches are the original oriented graph, including separate b4 and b7 branches between b and c. Arrows fix references from tail to head; a negative current flows opposite that reference.
    • The zero of potential is the arbitrary reference node n0. It is not an Earth or safety connection. Schematic node positions do not specify physical wire lengths.
    • The family contains 33 separate DC equilibria J=k/16 A, k=0…32. J is a static source setpoint, not time or a ramp. At J=3/4 A the b4 current is exactly zero; its orientation remains defined.
    • The b1 and b5 currents coincide at every supplied source setpoint. The thick orange stroke and thin pink dotted stroke retain both branches; they are separate elements.

    Original five-node, eight-branch network and associated references

    Complete exact worked-state voltage, current and absorbed power

    An oriented network and its static source family — complete exact source quantities (1617 exact quantities)

    All original states and controls remain here, including matrix, residual, reference-change and mixed-pairing quantities. Each value is the raw exact reduced rational from its labelled source path.

    An oriented network and its static source family — complete exact source quantities
    Source quantity and recordExact rational valueSI units or interpretation
    network · rows · DC state J=0 A · current Source Setpoint Anetwork/rows/0/currentSourceSetpointA0A
    network · rows · DC state J=0 A · node Potentials V · n0network/rows/0/nodePotentialsV/n00V
    network · rows · DC state J=0 A · node Potentials V · anetwork/rows/0/nodePotentialsV/a12V
    network · rows · DC state J=0 A · node Potentials V · bnetwork/rows/0/nodePotentialsV/b171/32V
    network · rows · DC state J=0 A · node Potentials V · cnetwork/rows/0/nodePotentialsV/c243/64V
    network · rows · DC state J=0 A · node Potentials V · dnetwork/rows/0/nodePotentialsV/d3V
    network · rows · DC state J=0 A · branches · branch b0 · voltage Vnetwork/rows/0/branches/0/voltageV12V
    network · rows · DC state J=0 A · branches · branch b0 · current Anetwork/rows/0/branches/0/currentA-71/64A
    network · rows · DC state J=0 A · branches · branch b0 · absorbed Power Wnetwork/rows/0/branches/0/absorbedPowerW-213/16W
    network · rows · DC state J=0 A · branches · branch b1 · voltage Vnetwork/rows/0/branches/1/voltageV3V
    network · rows · DC state J=0 A · branches · branch b1 · current Anetwork/rows/0/branches/1/currentA51/256A
    network · rows · DC state J=0 A · branches · branch b1 · absorbed Power Wnetwork/rows/0/branches/1/absorbedPowerW153/256W
    network · rows · DC state J=0 A · branches · branch b2 · voltage Vnetwork/rows/0/branches/2/voltageV213/32V
    network · rows · DC state J=0 A · branches · branch b2 · current Anetwork/rows/0/branches/2/currentA71/64A
    network · rows · DC state J=0 A · branches · branch b2 · absorbed Power Wnetwork/rows/0/branches/2/absorbedPowerW15123/2048W
    network · rows · DC state J=0 A · branches · branch b3 · voltage Vnetwork/rows/0/branches/3/voltageV171/32V
    network · rows · DC state J=0 A · branches · branch b3 · current Anetwork/rows/0/branches/3/currentA19/32A
    network · rows · DC state J=0 A · branches · branch b3 · absorbed Power Wnetwork/rows/0/branches/3/absorbedPowerW3249/1024W
    network · rows · DC state J=0 A · branches · branch b4 · voltage Vnetwork/rows/0/branches/4/voltageV99/64V
    network · rows · DC state J=0 A · branches · branch b4 · current Anetwork/rows/0/branches/4/currentA33/64A
    network · rows · DC state J=0 A · branches · branch b4 · absorbed Power Wnetwork/rows/0/branches/4/absorbedPowerW3267/4096W
    network · rows · DC state J=0 A · branches · branch b5 · voltage Vnetwork/rows/0/branches/5/voltageV51/64V
    network · rows · DC state J=0 A · branches · branch b5 · current Anetwork/rows/0/branches/5/currentA51/256A
    network · rows · DC state J=0 A · branches · branch b5 · absorbed Power Wnetwork/rows/0/branches/5/absorbedPowerW2601/16384W
    network · rows · DC state J=0 A · branches · branch b6 · voltage Vnetwork/rows/0/branches/6/voltageV243/64V
    network · rows · DC state J=0 A · branches · branch b6 · current Anetwork/rows/0/branches/6/currentA81/256A
    network · rows · DC state J=0 A · branches · branch b6 · absorbed Power Wnetwork/rows/0/branches/6/absorbedPowerW19683/16384W
    network · rows · DC state J=0 A · branches · branch b7 · voltage Vnetwork/rows/0/branches/7/voltageV99/64V
    network · rows · DC state J=0 A · branches · branch b7 · current Anetwork/rows/0/branches/7/currentA0A
    network · rows · DC state J=0 A · branches · branch b7 · absorbed Power Wnetwork/rows/0/branches/7/absorbedPowerW0W
    network · rows · DC state J=0 A · kcl Residuals A · entry 0network/rows/0/kclResidualsA/00A
    network · rows · DC state J=0 A · kcl Residuals A · entry 1network/rows/0/kclResidualsA/10A
    network · rows · DC state J=0 A · kcl Residuals A · entry 2network/rows/0/kclResidualsA/20A
    network · rows · DC state J=0 A · kcl Residuals A · entry 3network/rows/0/kclResidualsA/30A
    network · rows · DC state J=0 A · kcl Residuals A · entry 4network/rows/0/kclResidualsA/40A
    network · rows · DC state J=0 A · cycle Residuals V · entry 0network/rows/0/cycleResidualsV/00V
    network · rows · DC state J=0 A · cycle Residuals V · entry 1network/rows/0/cycleResidualsV/10V
    network · rows · DC state J=0 A · cycle Residuals V · entry 2network/rows/0/cycleResidualsV/20V
    network · rows · DC state J=0 A · cycle Residuals V · entry 3network/rows/0/cycleResidualsV/30V
    network · rows · DC state J=0 A · fundamental Cutset Residuals A · entry 0network/rows/0/fundamentalCutsetResidualsA/00A
    network · rows · DC state J=0 A · fundamental Cutset Residuals A · entry 1network/rows/0/fundamentalCutsetResidualsA/10A
    network · rows · DC state J=0 A · fundamental Cutset Residuals A · entry 2network/rows/0/fundamentalCutsetResidualsA/20A
    network · rows · DC state J=0 A · fundamental Cutset Residuals A · entry 3network/rows/0/fundamentalCutsetResidualsA/30A
    network · rows · DC state J=0 A · resistor Law Residuals V · entry 0network/rows/0/resistorLawResidualsV/00V
    network · rows · DC state J=0 A · resistor Law Residuals V · entry 1network/rows/0/resistorLawResidualsV/10V
    network · rows · DC state J=0 A · resistor Law Residuals V · entry 2network/rows/0/resistorLawResidualsV/20V
    network · rows · DC state J=0 A · resistor Law Residuals V · entry 3network/rows/0/resistorLawResidualsV/30V
    network · rows · DC state J=0 A · resistor Law Residuals V · entry 4network/rows/0/resistorLawResidualsV/40V
    network · rows · DC state J=0 A · total Absorbed Power Wnetwork/rows/0/totalAbsorbedPowerW0W
    network · rows · DC state J=1/16 A · current Source Setpoint Anetwork/rows/1/currentSourceSetpointA1/16A
    network · rows · DC state J=1/16 A · node Potentials V · n0network/rows/1/nodePotentialsV/n00V
    network · rows · DC state J=1/16 A · node Potentials V · anetwork/rows/1/nodePotentialsV/a12V
    network · rows · DC state J=1/16 A · node Potentials V · bnetwork/rows/1/nodePotentialsV/b675/128V
    network · rows · DC state J=1/16 A · node Potentials V · cnetwork/rows/1/nodePotentialsV/c987/256V
    network · rows · DC state J=1/16 A · node Potentials V · dnetwork/rows/1/nodePotentialsV/d3V
    network · rows · DC state J=1/16 A · branches · branch b0 · voltage Vnetwork/rows/1/branches/0/voltageV12V
    network · rows · DC state J=1/16 A · branches · branch b0 · current Anetwork/rows/1/branches/0/currentA-287/256A
    network · rows · DC state J=1/16 A · branches · branch b0 · absorbed Power Wnetwork/rows/1/branches/0/absorbedPowerW-861/64W
    network · rows · DC state J=1/16 A · branches · branch b1 · voltage Vnetwork/rows/1/branches/1/voltageV3V
    network · rows · DC state J=1/16 A · branches · branch b1 · current Anetwork/rows/1/branches/1/currentA219/1024A
    network · rows · DC state J=1/16 A · branches · branch b1 · absorbed Power Wnetwork/rows/1/branches/1/absorbedPowerW657/1024W
    network · rows · DC state J=1/16 A · branches · branch b2 · voltage Vnetwork/rows/1/branches/2/voltageV861/128V
    network · rows · DC state J=1/16 A · branches · branch b2 · current Anetwork/rows/1/branches/2/currentA287/256A
    network · rows · DC state J=1/16 A · branches · branch b2 · absorbed Power Wnetwork/rows/1/branches/2/absorbedPowerW247107/32768W
    network · rows · DC state J=1/16 A · branches · branch b3 · voltage Vnetwork/rows/1/branches/3/voltageV675/128V
    network · rows · DC state J=1/16 A · branches · branch b3 · current Anetwork/rows/1/branches/3/currentA75/128A
    network · rows · DC state J=1/16 A · branches · branch b3 · absorbed Power Wnetwork/rows/1/branches/3/absorbedPowerW50625/16384W
    network · rows · DC state J=1/16 A · branches · branch b4 · voltage Vnetwork/rows/1/branches/4/voltageV363/256V
    network · rows · DC state J=1/16 A · branches · branch b4 · current Anetwork/rows/1/branches/4/currentA121/256A
    network · rows · DC state J=1/16 A · branches · branch b4 · absorbed Power Wnetwork/rows/1/branches/4/absorbedPowerW43923/65536W
    network · rows · DC state J=1/16 A · branches · branch b5 · voltage Vnetwork/rows/1/branches/5/voltageV219/256V
    network · rows · DC state J=1/16 A · branches · branch b5 · current Anetwork/rows/1/branches/5/currentA219/1024A
    network · rows · DC state J=1/16 A · branches · branch b5 · absorbed Power Wnetwork/rows/1/branches/5/absorbedPowerW47961/262144W
    network · rows · DC state J=1/16 A · branches · branch b6 · voltage Vnetwork/rows/1/branches/6/voltageV987/256V
    network · rows · DC state J=1/16 A · branches · branch b6 · current Anetwork/rows/1/branches/6/currentA329/1024A
    network · rows · DC state J=1/16 A · branches · branch b6 · absorbed Power Wnetwork/rows/1/branches/6/absorbedPowerW324723/262144W
    network · rows · DC state J=1/16 A · branches · branch b7 · voltage Vnetwork/rows/1/branches/7/voltageV363/256V
    network · rows · DC state J=1/16 A · branches · branch b7 · current Anetwork/rows/1/branches/7/currentA1/16A
    network · rows · DC state J=1/16 A · branches · branch b7 · absorbed Power Wnetwork/rows/1/branches/7/absorbedPowerW363/4096W
    network · rows · DC state J=1/16 A · kcl Residuals A · entry 0network/rows/1/kclResidualsA/00A
    network · rows · DC state J=1/16 A · kcl Residuals A · entry 1network/rows/1/kclResidualsA/10A
    network · rows · DC state J=1/16 A · kcl Residuals A · entry 2network/rows/1/kclResidualsA/20A
    network · rows · DC state J=1/16 A · kcl Residuals A · entry 3network/rows/1/kclResidualsA/30A
    network · rows · DC state J=1/16 A · kcl Residuals A · entry 4network/rows/1/kclResidualsA/40A
    network · rows · DC state J=1/16 A · cycle Residuals V · entry 0network/rows/1/cycleResidualsV/00V
    network · rows · DC state J=1/16 A · cycle Residuals V · entry 1network/rows/1/cycleResidualsV/10V
    network · rows · DC state J=1/16 A · cycle Residuals V · entry 2network/rows/1/cycleResidualsV/20V
    network · rows · DC state J=1/16 A · cycle Residuals V · entry 3network/rows/1/cycleResidualsV/30V
    network · rows · DC state J=1/16 A · fundamental Cutset Residuals A · entry 0network/rows/1/fundamentalCutsetResidualsA/00A
    network · rows · DC state J=1/16 A · fundamental Cutset Residuals A · entry 1network/rows/1/fundamentalCutsetResidualsA/10A
    network · rows · DC state J=1/16 A · fundamental Cutset Residuals A · entry 2network/rows/1/fundamentalCutsetResidualsA/20A
    network · rows · DC state J=1/16 A · fundamental Cutset Residuals A · entry 3network/rows/1/fundamentalCutsetResidualsA/30A
    network · rows · DC state J=1/16 A · resistor Law Residuals V · entry 0network/rows/1/resistorLawResidualsV/00V
    network · rows · DC state J=1/16 A · resistor Law Residuals V · entry 1network/rows/1/resistorLawResidualsV/10V
    network · rows · DC state J=1/16 A · resistor Law Residuals V · entry 2network/rows/1/resistorLawResidualsV/20V
    network · rows · DC state J=1/16 A · resistor Law Residuals V · entry 3network/rows/1/resistorLawResidualsV/30V
    network · rows · DC state J=1/16 A · resistor Law Residuals V · entry 4network/rows/1/resistorLawResidualsV/40V
    network · rows · DC state J=1/16 A · total Absorbed Power Wnetwork/rows/1/totalAbsorbedPowerW0W
    network · rows · DC state J=1/8 A · current Source Setpoint Anetwork/rows/2/currentSourceSetpointA1/8A
    network · rows · DC state J=1/8 A · node Potentials V · n0network/rows/2/nodePotentialsV/n00V
    network · rows · DC state J=1/8 A · node Potentials V · anetwork/rows/2/nodePotentialsV/a12V
    network · rows · DC state J=1/8 A · node Potentials V · bnetwork/rows/2/nodePotentialsV/b333/64V
    network · rows · DC state J=1/8 A · node Potentials V · cnetwork/rows/2/nodePotentialsV/c501/128V
    network · rows · DC state J=1/8 A · node Potentials V · dnetwork/rows/2/nodePotentialsV/d3V
    network · rows · DC state J=1/8 A · branches · branch b0 · voltage Vnetwork/rows/2/branches/0/voltageV12V
    network · rows · DC state J=1/8 A · branches · branch b0 · current Anetwork/rows/2/branches/0/currentA-145/128A
    network · rows · DC state J=1/8 A · branches · branch b0 · absorbed Power Wnetwork/rows/2/branches/0/absorbedPowerW-435/32W
    network · rows · DC state J=1/8 A · branches · branch b1 · voltage Vnetwork/rows/2/branches/1/voltageV3V
    network · rows · DC state J=1/8 A · branches · branch b1 · current Anetwork/rows/2/branches/1/currentA117/512A
    network · rows · DC state J=1/8 A · branches · branch b1 · absorbed Power Wnetwork/rows/2/branches/1/absorbedPowerW351/512W
    network · rows · DC state J=1/8 A · branches · branch b2 · voltage Vnetwork/rows/2/branches/2/voltageV435/64V
    network · rows · DC state J=1/8 A · branches · branch b2 · current Anetwork/rows/2/branches/2/currentA145/128A
    network · rows · DC state J=1/8 A · branches · branch b2 · absorbed Power Wnetwork/rows/2/branches/2/absorbedPowerW63075/8192W
    network · rows · DC state J=1/8 A · branches · branch b3 · voltage Vnetwork/rows/2/branches/3/voltageV333/64V
    network · rows · DC state J=1/8 A · branches · branch b3 · current Anetwork/rows/2/branches/3/currentA37/64A
    network · rows · DC state J=1/8 A · branches · branch b3 · absorbed Power Wnetwork/rows/2/branches/3/absorbedPowerW12321/4096W
    network · rows · DC state J=1/8 A · branches · branch b4 · voltage Vnetwork/rows/2/branches/4/voltageV165/128V
    network · rows · DC state J=1/8 A · branches · branch b4 · current Anetwork/rows/2/branches/4/currentA55/128A
    network · rows · DC state J=1/8 A · branches · branch b4 · absorbed Power Wnetwork/rows/2/branches/4/absorbedPowerW9075/16384W
    network · rows · DC state J=1/8 A · branches · branch b5 · voltage Vnetwork/rows/2/branches/5/voltageV117/128V
    network · rows · DC state J=1/8 A · branches · branch b5 · current Anetwork/rows/2/branches/5/currentA117/512A
    network · rows · DC state J=1/8 A · branches · branch b5 · absorbed Power Wnetwork/rows/2/branches/5/absorbedPowerW13689/65536W
    network · rows · DC state J=1/8 A · branches · branch b6 · voltage Vnetwork/rows/2/branches/6/voltageV501/128V
    network · rows · DC state J=1/8 A · branches · branch b6 · current Anetwork/rows/2/branches/6/currentA167/512A
    network · rows · DC state J=1/8 A · branches · branch b6 · absorbed Power Wnetwork/rows/2/branches/6/absorbedPowerW83667/65536W
    network · rows · DC state J=1/8 A · branches · branch b7 · voltage Vnetwork/rows/2/branches/7/voltageV165/128V
    network · rows · DC state J=1/8 A · branches · branch b7 · current Anetwork/rows/2/branches/7/currentA1/8A
    network · rows · DC state J=1/8 A · branches · branch b7 · absorbed Power Wnetwork/rows/2/branches/7/absorbedPowerW165/1024W
    network · rows · DC state J=1/8 A · kcl Residuals A · entry 0network/rows/2/kclResidualsA/00A
    network · rows · DC state J=1/8 A · kcl Residuals A · entry 1network/rows/2/kclResidualsA/10A
    network · rows · DC state J=1/8 A · kcl Residuals A · entry 2network/rows/2/kclResidualsA/20A
    network · rows · DC state J=1/8 A · kcl Residuals A · entry 3network/rows/2/kclResidualsA/30A
    network · rows · DC state J=1/8 A · kcl Residuals A · entry 4network/rows/2/kclResidualsA/40A
    network · rows · DC state J=1/8 A · cycle Residuals V · entry 0network/rows/2/cycleResidualsV/00V
    network · rows · DC state J=1/8 A · cycle Residuals V · entry 1network/rows/2/cycleResidualsV/10V
    network · rows · DC state J=1/8 A · cycle Residuals V · entry 2network/rows/2/cycleResidualsV/20V
    network · rows · DC state J=1/8 A · cycle Residuals V · entry 3network/rows/2/cycleResidualsV/30V
    network · rows · DC state J=1/8 A · fundamental Cutset Residuals A · entry 0network/rows/2/fundamentalCutsetResidualsA/00A
    network · rows · DC state J=1/8 A · fundamental Cutset Residuals A · entry 1network/rows/2/fundamentalCutsetResidualsA/10A
    network · rows · DC state J=1/8 A · fundamental Cutset Residuals A · entry 2network/rows/2/fundamentalCutsetResidualsA/20A
    network · rows · DC state J=1/8 A · fundamental Cutset Residuals A · entry 3network/rows/2/fundamentalCutsetResidualsA/30A
    network · rows · DC state J=1/8 A · resistor Law Residuals V · entry 0network/rows/2/resistorLawResidualsV/00V
    network · rows · DC state J=1/8 A · resistor Law Residuals V · entry 1network/rows/2/resistorLawResidualsV/10V
    network · rows · DC state J=1/8 A · resistor Law Residuals V · entry 2network/rows/2/resistorLawResidualsV/20V
    network · rows · DC state J=1/8 A · resistor Law Residuals V · entry 3network/rows/2/resistorLawResidualsV/30V
    network · rows · DC state J=1/8 A · resistor Law Residuals V · entry 4network/rows/2/resistorLawResidualsV/40V
    network · rows · DC state J=1/8 A · total Absorbed Power Wnetwork/rows/2/totalAbsorbedPowerW0W
    network · rows · DC state J=3/16 A · current Source Setpoint Anetwork/rows/3/currentSourceSetpointA3/16A
    network · rows · DC state J=3/16 A · node Potentials V · n0network/rows/3/nodePotentialsV/n00V
    network · rows · DC state J=3/16 A · node Potentials V · anetwork/rows/3/nodePotentialsV/a12V
    network · rows · DC state J=3/16 A · node Potentials V · bnetwork/rows/3/nodePotentialsV/b657/128V
    network · rows · DC state J=3/16 A · node Potentials V · cnetwork/rows/3/nodePotentialsV/c1017/256V
    network · rows · DC state J=3/16 A · node Potentials V · dnetwork/rows/3/nodePotentialsV/d3V
    network · rows · DC state J=3/16 A · branches · branch b0 · voltage Vnetwork/rows/3/branches/0/voltageV12V
    network · rows · DC state J=3/16 A · branches · branch b0 · current Anetwork/rows/3/branches/0/currentA-293/256A
    network · rows · DC state J=3/16 A · branches · branch b0 · absorbed Power Wnetwork/rows/3/branches/0/absorbedPowerW-879/64W
    network · rows · DC state J=3/16 A · branches · branch b1 · voltage Vnetwork/rows/3/branches/1/voltageV3V
    network · rows · DC state J=3/16 A · branches · branch b1 · current Anetwork/rows/3/branches/1/currentA249/1024A
    network · rows · DC state J=3/16 A · branches · branch b1 · absorbed Power Wnetwork/rows/3/branches/1/absorbedPowerW747/1024W
    network · rows · DC state J=3/16 A · branches · branch b2 · voltage Vnetwork/rows/3/branches/2/voltageV879/128V
    network · rows · DC state J=3/16 A · branches · branch b2 · current Anetwork/rows/3/branches/2/currentA293/256A
    network · rows · DC state J=3/16 A · branches · branch b2 · absorbed Power Wnetwork/rows/3/branches/2/absorbedPowerW257547/32768W
    network · rows · DC state J=3/16 A · branches · branch b3 · voltage Vnetwork/rows/3/branches/3/voltageV657/128V
    network · rows · DC state J=3/16 A · branches · branch b3 · current Anetwork/rows/3/branches/3/currentA73/128A
    network · rows · DC state J=3/16 A · branches · branch b3 · absorbed Power Wnetwork/rows/3/branches/3/absorbedPowerW47961/16384W
    network · rows · DC state J=3/16 A · branches · branch b4 · voltage Vnetwork/rows/3/branches/4/voltageV297/256V
    network · rows · DC state J=3/16 A · branches · branch b4 · current Anetwork/rows/3/branches/4/currentA99/256A
    network · rows · DC state J=3/16 A · branches · branch b4 · absorbed Power Wnetwork/rows/3/branches/4/absorbedPowerW29403/65536W
    network · rows · DC state J=3/16 A · branches · branch b5 · voltage Vnetwork/rows/3/branches/5/voltageV249/256V
    network · rows · DC state J=3/16 A · branches · branch b5 · current Anetwork/rows/3/branches/5/currentA249/1024A
    network · rows · DC state J=3/16 A · branches · branch b5 · absorbed Power Wnetwork/rows/3/branches/5/absorbedPowerW62001/262144W
    network · rows · DC state J=3/16 A · branches · branch b6 · voltage Vnetwork/rows/3/branches/6/voltageV1017/256V
    network · rows · DC state J=3/16 A · branches · branch b6 · current Anetwork/rows/3/branches/6/currentA339/1024A
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    network · rows · DC state J=3/16 A · branches · branch b7 · voltage Vnetwork/rows/3/branches/7/voltageV297/256V
    network · rows · DC state J=3/16 A · branches · branch b7 · current Anetwork/rows/3/branches/7/currentA3/16A
    network · rows · DC state J=3/16 A · branches · branch b7 · absorbed Power Wnetwork/rows/3/branches/7/absorbedPowerW891/4096W
    network · rows · DC state J=3/16 A · kcl Residuals A · entry 0network/rows/3/kclResidualsA/00A
    network · rows · DC state J=3/16 A · kcl Residuals A · entry 1network/rows/3/kclResidualsA/10A
    network · rows · DC state J=3/16 A · kcl Residuals A · entry 2network/rows/3/kclResidualsA/20A
    network · rows · DC state J=3/16 A · kcl Residuals A · entry 3network/rows/3/kclResidualsA/30A
    network · rows · DC state J=3/16 A · kcl Residuals A · entry 4network/rows/3/kclResidualsA/40A
    network · rows · DC state J=3/16 A · cycle Residuals V · entry 0network/rows/3/cycleResidualsV/00V
    network · rows · DC state J=3/16 A · cycle Residuals V · entry 1network/rows/3/cycleResidualsV/10V
    network · rows · DC state J=3/16 A · cycle Residuals V · entry 2network/rows/3/cycleResidualsV/20V
    network · rows · DC state J=3/16 A · cycle Residuals V · entry 3network/rows/3/cycleResidualsV/30V
    network · rows · DC state J=3/16 A · fundamental Cutset Residuals A · entry 0network/rows/3/fundamentalCutsetResidualsA/00A
    network · rows · DC state J=3/16 A · fundamental Cutset Residuals A · entry 1network/rows/3/fundamentalCutsetResidualsA/10A
    network · rows · DC state J=3/16 A · fundamental Cutset Residuals A · entry 2network/rows/3/fundamentalCutsetResidualsA/20A
    network · rows · DC state J=3/16 A · fundamental Cutset Residuals A · entry 3network/rows/3/fundamentalCutsetResidualsA/30A
    network · rows · DC state J=3/16 A · resistor Law Residuals V · entry 0network/rows/3/resistorLawResidualsV/00V
    network · rows · DC state J=3/16 A · resistor Law Residuals V · entry 1network/rows/3/resistorLawResidualsV/10V
    network · rows · DC state J=3/16 A · resistor Law Residuals V · entry 2network/rows/3/resistorLawResidualsV/20V
    network · rows · DC state J=3/16 A · resistor Law Residuals V · entry 3network/rows/3/resistorLawResidualsV/30V
    network · rows · DC state J=3/16 A · resistor Law Residuals V · entry 4network/rows/3/resistorLawResidualsV/40V
    network · rows · DC state J=3/16 A · total Absorbed Power Wnetwork/rows/3/totalAbsorbedPowerW0W
    network · rows · DC state J=1/4 A · current Source Setpoint Anetwork/rows/4/currentSourceSetpointA1/4A
    network · rows · DC state J=1/4 A · node Potentials V · n0network/rows/4/nodePotentialsV/n00V
    network · rows · DC state J=1/4 A · node Potentials V · anetwork/rows/4/nodePotentialsV/a12V
    network · rows · DC state J=1/4 A · node Potentials V · bnetwork/rows/4/nodePotentialsV/b81/16V
    network · rows · DC state J=1/4 A · node Potentials V · cnetwork/rows/4/nodePotentialsV/c129/32V
    network · rows · DC state J=1/4 A · node Potentials V · dnetwork/rows/4/nodePotentialsV/d3V
    network · rows · DC state J=1/4 A · branches · branch b0 · voltage Vnetwork/rows/4/branches/0/voltageV12V
    network · rows · DC state J=1/4 A · branches · branch b0 · current Anetwork/rows/4/branches/0/currentA-37/32A
    network · rows · DC state J=1/4 A · branches · branch b0 · absorbed Power Wnetwork/rows/4/branches/0/absorbedPowerW-111/8W
    network · rows · DC state J=1/4 A · branches · branch b1 · voltage Vnetwork/rows/4/branches/1/voltageV3V
    network · rows · DC state J=1/4 A · branches · branch b1 · current Anetwork/rows/4/branches/1/currentA33/128A
    network · rows · DC state J=1/4 A · branches · branch b1 · absorbed Power Wnetwork/rows/4/branches/1/absorbedPowerW99/128W
    network · rows · DC state J=1/4 A · branches · branch b2 · voltage Vnetwork/rows/4/branches/2/voltageV111/16V
    network · rows · DC state J=1/4 A · branches · branch b2 · current Anetwork/rows/4/branches/2/currentA37/32A
    network · rows · DC state J=1/4 A · branches · branch b2 · absorbed Power Wnetwork/rows/4/branches/2/absorbedPowerW4107/512W
    network · rows · DC state J=1/4 A · branches · branch b3 · voltage Vnetwork/rows/4/branches/3/voltageV81/16V
    network · rows · DC state J=1/4 A · branches · branch b3 · current Anetwork/rows/4/branches/3/currentA9/16A
    network · rows · DC state J=1/4 A · branches · branch b3 · absorbed Power Wnetwork/rows/4/branches/3/absorbedPowerW729/256W
    network · rows · DC state J=1/4 A · branches · branch b4 · voltage Vnetwork/rows/4/branches/4/voltageV33/32V
    network · rows · DC state J=1/4 A · branches · branch b4 · current Anetwork/rows/4/branches/4/currentA11/32A
    network · rows · DC state J=1/4 A · branches · branch b4 · absorbed Power Wnetwork/rows/4/branches/4/absorbedPowerW363/1024W
    network · rows · DC state J=1/4 A · branches · branch b5 · voltage Vnetwork/rows/4/branches/5/voltageV33/32V
    network · rows · DC state J=1/4 A · branches · branch b5 · current Anetwork/rows/4/branches/5/currentA33/128A
    network · rows · DC state J=1/4 A · branches · branch b5 · absorbed Power Wnetwork/rows/4/branches/5/absorbedPowerW1089/4096W
    network · rows · DC state J=1/4 A · branches · branch b6 · voltage Vnetwork/rows/4/branches/6/voltageV129/32V
    network · rows · DC state J=1/4 A · branches · branch b6 · current Anetwork/rows/4/branches/6/currentA43/128A
    network · rows · DC state J=1/4 A · branches · branch b6 · absorbed Power Wnetwork/rows/4/branches/6/absorbedPowerW5547/4096W
    network · rows · DC state J=1/4 A · branches · branch b7 · voltage Vnetwork/rows/4/branches/7/voltageV33/32V
    network · rows · DC state J=1/4 A · branches · branch b7 · current Anetwork/rows/4/branches/7/currentA1/4A
    network · rows · DC state J=1/4 A · branches · branch b7 · absorbed Power Wnetwork/rows/4/branches/7/absorbedPowerW33/128W
    network · rows · DC state J=1/4 A · kcl Residuals A · entry 0network/rows/4/kclResidualsA/00A
    network · rows · DC state J=1/4 A · kcl Residuals A · entry 1network/rows/4/kclResidualsA/10A
    network · rows · DC state J=1/4 A · kcl Residuals A · entry 2network/rows/4/kclResidualsA/20A
    network · rows · DC state J=1/4 A · kcl Residuals A · entry 3network/rows/4/kclResidualsA/30A
    network · rows · DC state J=1/4 A · kcl Residuals A · entry 4network/rows/4/kclResidualsA/40A
    network · rows · DC state J=1/4 A · cycle Residuals V · entry 0network/rows/4/cycleResidualsV/00V
    network · rows · DC state J=1/4 A · cycle Residuals V · entry 1network/rows/4/cycleResidualsV/10V
    network · rows · DC state J=1/4 A · cycle Residuals V · entry 2network/rows/4/cycleResidualsV/20V
    network · rows · DC state J=1/4 A · cycle Residuals V · entry 3network/rows/4/cycleResidualsV/30V
    network · rows · DC state J=1/4 A · fundamental Cutset Residuals A · entry 0network/rows/4/fundamentalCutsetResidualsA/00A
    network · rows · DC state J=1/4 A · fundamental Cutset Residuals A · entry 1network/rows/4/fundamentalCutsetResidualsA/10A
    network · rows · DC state J=1/4 A · fundamental Cutset Residuals A · entry 2network/rows/4/fundamentalCutsetResidualsA/20A
    network · rows · DC state J=1/4 A · fundamental Cutset Residuals A · entry 3network/rows/4/fundamentalCutsetResidualsA/30A
    network · rows · DC state J=1/4 A · resistor Law Residuals V · entry 0network/rows/4/resistorLawResidualsV/00V
    network · rows · DC state J=1/4 A · resistor Law Residuals V · entry 1network/rows/4/resistorLawResidualsV/10V
    network · rows · DC state J=1/4 A · resistor Law Residuals V · entry 2network/rows/4/resistorLawResidualsV/20V
    network · rows · DC state J=1/4 A · resistor Law Residuals V · entry 3network/rows/4/resistorLawResidualsV/30V
    network · rows · DC state J=1/4 A · resistor Law Residuals V · entry 4network/rows/4/resistorLawResidualsV/40V
    network · rows · DC state J=1/4 A · total Absorbed Power Wnetwork/rows/4/totalAbsorbedPowerW0W
    network · rows · DC state J=5/16 A · current Source Setpoint Anetwork/rows/5/currentSourceSetpointA5/16A
    network · rows · DC state J=5/16 A · node Potentials V · n0network/rows/5/nodePotentialsV/n00V
    network · rows · DC state J=5/16 A · node Potentials V · anetwork/rows/5/nodePotentialsV/a12V
    network · rows · DC state J=5/16 A · node Potentials V · bnetwork/rows/5/nodePotentialsV/b639/128V
    network · rows · DC state J=5/16 A · node Potentials V · cnetwork/rows/5/nodePotentialsV/c1047/256V
    network · rows · DC state J=5/16 A · node Potentials V · dnetwork/rows/5/nodePotentialsV/d3V
    network · rows · DC state J=5/16 A · branches · branch b0 · voltage Vnetwork/rows/5/branches/0/voltageV12V
    network · rows · DC state J=5/16 A · branches · branch b0 · current Anetwork/rows/5/branches/0/currentA-299/256A
    network · rows · DC state J=5/16 A · branches · branch b0 · absorbed Power Wnetwork/rows/5/branches/0/absorbedPowerW-897/64W
    network · rows · DC state J=5/16 A · branches · branch b1 · voltage Vnetwork/rows/5/branches/1/voltageV3V
    network · rows · DC state J=5/16 A · branches · branch b1 · current Anetwork/rows/5/branches/1/currentA279/1024A
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    network · rows · DC state J=5/16 A · branches · branch b7 · current Anetwork/rows/5/branches/7/currentA5/16A
    network · rows · DC state J=5/16 A · branches · branch b7 · absorbed Power Wnetwork/rows/5/branches/7/absorbedPowerW1155/4096W
    network · rows · DC state J=5/16 A · kcl Residuals A · entry 0network/rows/5/kclResidualsA/00A
    network · rows · DC state J=5/16 A · kcl Residuals A · entry 1network/rows/5/kclResidualsA/10A
    network · rows · DC state J=5/16 A · kcl Residuals A · entry 2network/rows/5/kclResidualsA/20A
    network · rows · DC state J=5/16 A · kcl Residuals A · entry 3network/rows/5/kclResidualsA/30A
    network · rows · DC state J=5/16 A · kcl Residuals A · entry 4network/rows/5/kclResidualsA/40A
    network · rows · DC state J=5/16 A · cycle Residuals V · entry 0network/rows/5/cycleResidualsV/00V
    network · rows · DC state J=5/16 A · cycle Residuals V · entry 1network/rows/5/cycleResidualsV/10V
    network · rows · DC state J=5/16 A · cycle Residuals V · entry 2network/rows/5/cycleResidualsV/20V
    network · rows · DC state J=5/16 A · cycle Residuals V · entry 3network/rows/5/cycleResidualsV/30V
    network · rows · DC state J=5/16 A · fundamental Cutset Residuals A · entry 0network/rows/5/fundamentalCutsetResidualsA/00A
    network · rows · DC state J=5/16 A · fundamental Cutset Residuals A · entry 1network/rows/5/fundamentalCutsetResidualsA/10A
    network · rows · DC state J=5/16 A · fundamental Cutset Residuals A · entry 2network/rows/5/fundamentalCutsetResidualsA/20A
    network · rows · DC state J=5/16 A · fundamental Cutset Residuals A · entry 3network/rows/5/fundamentalCutsetResidualsA/30A
    network · rows · DC state J=5/16 A · resistor Law Residuals V · entry 0network/rows/5/resistorLawResidualsV/00V
    network · rows · DC state J=5/16 A · resistor Law Residuals V · entry 1network/rows/5/resistorLawResidualsV/10V
    network · rows · DC state J=5/16 A · resistor Law Residuals V · entry 2network/rows/5/resistorLawResidualsV/20V
    network · rows · DC state J=5/16 A · resistor Law Residuals V · entry 3network/rows/5/resistorLawResidualsV/30V
    network · rows · DC state J=5/16 A · resistor Law Residuals V · entry 4network/rows/5/resistorLawResidualsV/40V
    network · rows · DC state J=5/16 A · total Absorbed Power Wnetwork/rows/5/totalAbsorbedPowerW0W
    network · rows · DC state J=3/8 A · current Source Setpoint Anetwork/rows/6/currentSourceSetpointA3/8A
    network · rows · DC state J=3/8 A · node Potentials V · n0network/rows/6/nodePotentialsV/n00V
    network · rows · DC state J=3/8 A · node Potentials V · anetwork/rows/6/nodePotentialsV/a12V
    network · rows · DC state J=3/8 A · node Potentials V · bnetwork/rows/6/nodePotentialsV/b315/64V
    network · rows · DC state J=3/8 A · node Potentials V · cnetwork/rows/6/nodePotentialsV/c531/128V
    network · rows · DC state J=3/8 A · node Potentials V · dnetwork/rows/6/nodePotentialsV/d3V
    network · rows · DC state J=3/8 A · branches · branch b0 · voltage Vnetwork/rows/6/branches/0/voltageV12V
    network · rows · DC state J=3/8 A · branches · branch b0 · current Anetwork/rows/6/branches/0/currentA-151/128A
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    network · rows · DC state J=3/8 A · branches · branch b1 · voltage Vnetwork/rows/6/branches/1/voltageV3V
    network · rows · DC state J=3/8 A · branches · branch b1 · current Anetwork/rows/6/branches/1/currentA147/512A
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    network · rows · DC state J=3/8 A · branches · branch b3 · current Anetwork/rows/6/branches/3/currentA35/64A
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    network · rows · DC state J=3/8 A · branches · branch b5 · current Anetwork/rows/6/branches/5/currentA147/512A
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    network · rows · DC state J=3/8 A · branches · branch b6 · current Anetwork/rows/6/branches/6/currentA177/512A
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    network · rows · DC state J=3/8 A · branches · branch b7 · voltage Vnetwork/rows/6/branches/7/voltageV99/128V
    network · rows · DC state J=3/8 A · branches · branch b7 · current Anetwork/rows/6/branches/7/currentA3/8A
    network · rows · DC state J=3/8 A · branches · branch b7 · absorbed Power Wnetwork/rows/6/branches/7/absorbedPowerW297/1024W
    network · rows · DC state J=3/8 A · kcl Residuals A · entry 0network/rows/6/kclResidualsA/00A
    network · rows · DC state J=3/8 A · kcl Residuals A · entry 1network/rows/6/kclResidualsA/10A
    network · rows · DC state J=3/8 A · kcl Residuals A · entry 2network/rows/6/kclResidualsA/20A
    network · rows · DC state J=3/8 A · kcl Residuals A · entry 3network/rows/6/kclResidualsA/30A
    network · rows · DC state J=3/8 A · kcl Residuals A · entry 4network/rows/6/kclResidualsA/40A
    network · rows · DC state J=3/8 A · cycle Residuals V · entry 0network/rows/6/cycleResidualsV/00V
    network · rows · DC state J=3/8 A · cycle Residuals V · entry 1network/rows/6/cycleResidualsV/10V
    network · rows · DC state J=3/8 A · cycle Residuals V · entry 2network/rows/6/cycleResidualsV/20V
    network · rows · DC state J=3/8 A · cycle Residuals V · entry 3network/rows/6/cycleResidualsV/30V
    network · rows · DC state J=3/8 A · fundamental Cutset Residuals A · entry 0network/rows/6/fundamentalCutsetResidualsA/00A
    network · rows · DC state J=3/8 A · fundamental Cutset Residuals A · entry 1network/rows/6/fundamentalCutsetResidualsA/10A
    network · rows · DC state J=3/8 A · fundamental Cutset Residuals A · entry 2network/rows/6/fundamentalCutsetResidualsA/20A
    network · rows · DC state J=3/8 A · fundamental Cutset Residuals A · entry 3network/rows/6/fundamentalCutsetResidualsA/30A
    network · rows · DC state J=3/8 A · resistor Law Residuals V · entry 0network/rows/6/resistorLawResidualsV/00V
    network · rows · DC state J=3/8 A · resistor Law Residuals V · entry 1network/rows/6/resistorLawResidualsV/10V
    network · rows · DC state J=3/8 A · resistor Law Residuals V · entry 2network/rows/6/resistorLawResidualsV/20V
    network · rows · DC state J=3/8 A · resistor Law Residuals V · entry 3network/rows/6/resistorLawResidualsV/30V
    network · rows · DC state J=3/8 A · resistor Law Residuals V · entry 4network/rows/6/resistorLawResidualsV/40V
    network · rows · DC state J=3/8 A · total Absorbed Power Wnetwork/rows/6/totalAbsorbedPowerW0W
    network · rows · DC state J=7/16 A · current Source Setpoint Anetwork/rows/7/currentSourceSetpointA7/16A
    network · rows · DC state J=7/16 A · node Potentials V · n0network/rows/7/nodePotentialsV/n00V
    network · rows · DC state J=7/16 A · node Potentials V · anetwork/rows/7/nodePotentialsV/a12V
    network · rows · DC state J=7/16 A · node Potentials V · bnetwork/rows/7/nodePotentialsV/b621/128V
    network · rows · DC state J=7/16 A · node Potentials V · cnetwork/rows/7/nodePotentialsV/c1077/256V
    network · rows · DC state J=7/16 A · node Potentials V · dnetwork/rows/7/nodePotentialsV/d3V
    network · rows · DC state J=7/16 A · branches · branch b0 · voltage Vnetwork/rows/7/branches/0/voltageV12V
    network · rows · DC state J=7/16 A · branches · branch b0 · current Anetwork/rows/7/branches/0/currentA-305/256A
    network · rows · DC state J=7/16 A · branches · branch b0 · absorbed Power Wnetwork/rows/7/branches/0/absorbedPowerW-915/64W
    network · rows · DC state J=7/16 A · branches · branch b1 · voltage Vnetwork/rows/7/branches/1/voltageV3V
    network · rows · DC state J=7/16 A · branches · branch b1 · current Anetwork/rows/7/branches/1/currentA309/1024A
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    network · rows · DC state J=7/16 A · branches · branch b7 · absorbed Power Wnetwork/rows/7/branches/7/absorbedPowerW1155/4096W
    network · rows · DC state J=7/16 A · kcl Residuals A · entry 0network/rows/7/kclResidualsA/00A
    network · rows · DC state J=7/16 A · kcl Residuals A · entry 1network/rows/7/kclResidualsA/10A
    network · rows · DC state J=7/16 A · kcl Residuals A · entry 2network/rows/7/kclResidualsA/20A
    network · rows · DC state J=7/16 A · kcl Residuals A · entry 3network/rows/7/kclResidualsA/30A
    network · rows · DC state J=7/16 A · kcl Residuals A · entry 4network/rows/7/kclResidualsA/40A
    network · rows · DC state J=7/16 A · cycle Residuals V · entry 0network/rows/7/cycleResidualsV/00V
    network · rows · DC state J=7/16 A · cycle Residuals V · entry 1network/rows/7/cycleResidualsV/10V
    network · rows · DC state J=7/16 A · cycle Residuals V · entry 2network/rows/7/cycleResidualsV/20V
    network · rows · DC state J=7/16 A · cycle Residuals V · entry 3network/rows/7/cycleResidualsV/30V
    network · rows · DC state J=7/16 A · fundamental Cutset Residuals A · entry 0network/rows/7/fundamentalCutsetResidualsA/00A
    network · rows · DC state J=7/16 A · fundamental Cutset Residuals A · entry 1network/rows/7/fundamentalCutsetResidualsA/10A
    network · rows · DC state J=7/16 A · fundamental Cutset Residuals A · entry 2network/rows/7/fundamentalCutsetResidualsA/20A
    network · rows · DC state J=7/16 A · fundamental Cutset Residuals A · entry 3network/rows/7/fundamentalCutsetResidualsA/30A
    network · rows · DC state J=7/16 A · resistor Law Residuals V · entry 0network/rows/7/resistorLawResidualsV/00V
    network · rows · DC state J=7/16 A · resistor Law Residuals V · entry 1network/rows/7/resistorLawResidualsV/10V
    network · rows · DC state J=7/16 A · resistor Law Residuals V · entry 2network/rows/7/resistorLawResidualsV/20V
    network · rows · DC state J=7/16 A · resistor Law Residuals V · entry 3network/rows/7/resistorLawResidualsV/30V
    network · rows · DC state J=7/16 A · resistor Law Residuals V · entry 4network/rows/7/resistorLawResidualsV/40V
    network · rows · DC state J=7/16 A · total Absorbed Power Wnetwork/rows/7/totalAbsorbedPowerW0W
    network · rows · DC state J=1/2 A · current Source Setpoint Anetwork/rows/8/currentSourceSetpointA1/2A
    network · rows · DC state J=1/2 A · node Potentials V · n0network/rows/8/nodePotentialsV/n00V
    network · rows · DC state J=1/2 A · node Potentials V · anetwork/rows/8/nodePotentialsV/a12V
    network · rows · DC state J=1/2 A · node Potentials V · bnetwork/rows/8/nodePotentialsV/b153/32V
    network · rows · DC state J=1/2 A · node Potentials V · cnetwork/rows/8/nodePotentialsV/c273/64V
    network · rows · DC state J=1/2 A · node Potentials V · dnetwork/rows/8/nodePotentialsV/d3V
    network · rows · DC state J=1/2 A · branches · branch b0 · voltage Vnetwork/rows/8/branches/0/voltageV12V
    network · rows · DC state J=1/2 A · branches · branch b0 · current Anetwork/rows/8/branches/0/currentA-77/64A
    network · rows · DC state J=1/2 A · branches · branch b0 · absorbed Power Wnetwork/rows/8/branches/0/absorbedPowerW-231/16W
    network · rows · DC state J=1/2 A · branches · branch b1 · voltage Vnetwork/rows/8/branches/1/voltageV3V
    network · rows · DC state J=1/2 A · branches · branch b1 · current Anetwork/rows/8/branches/1/currentA81/256A
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    network · rows · DC state J=1/2 A · branches · branch b7 · current Anetwork/rows/8/branches/7/currentA1/2A
    network · rows · DC state J=1/2 A · branches · branch b7 · absorbed Power Wnetwork/rows/8/branches/7/absorbedPowerW33/128W
    network · rows · DC state J=1/2 A · kcl Residuals A · entry 0network/rows/8/kclResidualsA/00A
    network · rows · DC state J=1/2 A · kcl Residuals A · entry 1network/rows/8/kclResidualsA/10A
    network · rows · DC state J=1/2 A · kcl Residuals A · entry 2network/rows/8/kclResidualsA/20A
    network · rows · DC state J=1/2 A · kcl Residuals A · entry 3network/rows/8/kclResidualsA/30A
    network · rows · DC state J=1/2 A · kcl Residuals A · entry 4network/rows/8/kclResidualsA/40A
    network · rows · DC state J=1/2 A · cycle Residuals V · entry 0network/rows/8/cycleResidualsV/00V
    network · rows · DC state J=1/2 A · cycle Residuals V · entry 1network/rows/8/cycleResidualsV/10V
    network · rows · DC state J=1/2 A · cycle Residuals V · entry 2network/rows/8/cycleResidualsV/20V
    network · rows · DC state J=1/2 A · cycle Residuals V · entry 3network/rows/8/cycleResidualsV/30V
    network · rows · DC state J=1/2 A · fundamental Cutset Residuals A · entry 0network/rows/8/fundamentalCutsetResidualsA/00A
    network · rows · DC state J=1/2 A · fundamental Cutset Residuals A · entry 1network/rows/8/fundamentalCutsetResidualsA/10A
    network · rows · DC state J=1/2 A · fundamental Cutset Residuals A · entry 2network/rows/8/fundamentalCutsetResidualsA/20A
    network · rows · DC state J=1/2 A · fundamental Cutset Residuals A · entry 3network/rows/8/fundamentalCutsetResidualsA/30A
    network · rows · DC state J=1/2 A · resistor Law Residuals V · entry 0network/rows/8/resistorLawResidualsV/00V
    network · rows · DC state J=1/2 A · resistor Law Residuals V · entry 1network/rows/8/resistorLawResidualsV/10V
    network · rows · DC state J=1/2 A · resistor Law Residuals V · entry 2network/rows/8/resistorLawResidualsV/20V
    network · rows · DC state J=1/2 A · resistor Law Residuals V · entry 3network/rows/8/resistorLawResidualsV/30V
    network · rows · DC state J=1/2 A · resistor Law Residuals V · entry 4network/rows/8/resistorLawResidualsV/40V
    network · rows · DC state J=1/2 A · total Absorbed Power Wnetwork/rows/8/totalAbsorbedPowerW0W
    network · rows · DC state J=9/16 A · current Source Setpoint Anetwork/rows/9/currentSourceSetpointA9/16A
    network · rows · DC state J=9/16 A · node Potentials V · n0network/rows/9/nodePotentialsV/n00V
    network · rows · DC state J=9/16 A · node Potentials V · anetwork/rows/9/nodePotentialsV/a12V
    network · rows · DC state J=9/16 A · node Potentials V · bnetwork/rows/9/nodePotentialsV/b603/128V
    network · rows · DC state J=9/16 A · node Potentials V · cnetwork/rows/9/nodePotentialsV/c1107/256V
    network · rows · DC state J=9/16 A · node Potentials V · dnetwork/rows/9/nodePotentialsV/d3V
    network · rows · DC state J=9/16 A · branches · branch b0 · voltage Vnetwork/rows/9/branches/0/voltageV12V
    network · rows · DC state J=9/16 A · branches · branch b0 · current Anetwork/rows/9/branches/0/currentA-311/256A
    network · rows · DC state J=9/16 A · branches · branch b0 · absorbed Power Wnetwork/rows/9/branches/0/absorbedPowerW-933/64W
    network · rows · DC state J=9/16 A · branches · branch b1 · voltage Vnetwork/rows/9/branches/1/voltageV3V
    network · rows · DC state J=9/16 A · branches · branch b1 · current Anetwork/rows/9/branches/1/currentA339/1024A
    network · rows · DC state J=9/16 A · branches · branch b1 · absorbed Power Wnetwork/rows/9/branches/1/absorbedPowerW1017/1024W
    network · rows · DC state J=9/16 A · branches · branch b2 · voltage Vnetwork/rows/9/branches/2/voltageV933/128V
    network · rows · DC state J=9/16 A · branches · branch b2 · current Anetwork/rows/9/branches/2/currentA311/256A
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    network · rows · DC state J=9/16 A · branches · branch b3 · voltage Vnetwork/rows/9/branches/3/voltageV603/128V
    network · rows · DC state J=9/16 A · branches · branch b3 · current Anetwork/rows/9/branches/3/currentA67/128A
    network · rows · DC state J=9/16 A · branches · branch b3 · absorbed Power Wnetwork/rows/9/branches/3/absorbedPowerW40401/16384W
    network · rows · DC state J=9/16 A · branches · branch b4 · voltage Vnetwork/rows/9/branches/4/voltageV99/256V
    network · rows · DC state J=9/16 A · branches · branch b4 · current Anetwork/rows/9/branches/4/currentA33/256A
    network · rows · DC state J=9/16 A · branches · branch b4 · absorbed Power Wnetwork/rows/9/branches/4/absorbedPowerW3267/65536W
    network · rows · DC state J=9/16 A · branches · branch b5 · voltage Vnetwork/rows/9/branches/5/voltageV339/256V
    network · rows · DC state J=9/16 A · branches · branch b5 · current Anetwork/rows/9/branches/5/currentA339/1024A
    network · rows · DC state J=9/16 A · branches · branch b5 · absorbed Power Wnetwork/rows/9/branches/5/absorbedPowerW114921/262144W
    network · rows · DC state J=9/16 A · branches · branch b6 · voltage Vnetwork/rows/9/branches/6/voltageV1107/256V
    network · rows · DC state J=9/16 A · branches · branch b6 · current Anetwork/rows/9/branches/6/currentA369/1024A
    network · rows · DC state J=9/16 A · branches · branch b6 · absorbed Power Wnetwork/rows/9/branches/6/absorbedPowerW408483/262144W
    network · rows · DC state J=9/16 A · branches · branch b7 · voltage Vnetwork/rows/9/branches/7/voltageV99/256V
    network · rows · DC state J=9/16 A · branches · branch b7 · current Anetwork/rows/9/branches/7/currentA9/16A
    network · rows · DC state J=9/16 A · branches · branch b7 · absorbed Power Wnetwork/rows/9/branches/7/absorbedPowerW891/4096W
    network · rows · DC state J=9/16 A · kcl Residuals A · entry 0network/rows/9/kclResidualsA/00A
    network · rows · DC state J=9/16 A · kcl Residuals A · entry 1network/rows/9/kclResidualsA/10A
    network · rows · DC state J=9/16 A · kcl Residuals A · entry 2network/rows/9/kclResidualsA/20A
    network · rows · DC state J=9/16 A · kcl Residuals A · entry 3network/rows/9/kclResidualsA/30A
    network · rows · DC state J=9/16 A · kcl Residuals A · entry 4network/rows/9/kclResidualsA/40A
    network · rows · DC state J=9/16 A · cycle Residuals V · entry 0network/rows/9/cycleResidualsV/00V
    network · rows · DC state J=9/16 A · cycle Residuals V · entry 1network/rows/9/cycleResidualsV/10V
    network · rows · DC state J=9/16 A · cycle Residuals V · entry 2network/rows/9/cycleResidualsV/20V
    network · rows · DC state J=9/16 A · cycle Residuals V · entry 3network/rows/9/cycleResidualsV/30V
    network · rows · DC state J=9/16 A · fundamental Cutset Residuals A · entry 0network/rows/9/fundamentalCutsetResidualsA/00A
    network · rows · DC state J=9/16 A · fundamental Cutset Residuals A · entry 1network/rows/9/fundamentalCutsetResidualsA/10A
    network · rows · DC state J=9/16 A · fundamental Cutset Residuals A · entry 2network/rows/9/fundamentalCutsetResidualsA/20A
    network · rows · DC state J=9/16 A · fundamental Cutset Residuals A · entry 3network/rows/9/fundamentalCutsetResidualsA/30A
    network · rows · DC state J=9/16 A · resistor Law Residuals V · entry 0network/rows/9/resistorLawResidualsV/00V
    network · rows · DC state J=9/16 A · resistor Law Residuals V · entry 1network/rows/9/resistorLawResidualsV/10V
    network · rows · DC state J=9/16 A · resistor Law Residuals V · entry 2network/rows/9/resistorLawResidualsV/20V
    network · rows · DC state J=9/16 A · resistor Law Residuals V · entry 3network/rows/9/resistorLawResidualsV/30V
    network · rows · DC state J=9/16 A · resistor Law Residuals V · entry 4network/rows/9/resistorLawResidualsV/40V
    network · rows · DC state J=9/16 A · total Absorbed Power Wnetwork/rows/9/totalAbsorbedPowerW0W
    network · rows · DC state J=5/8 A · current Source Setpoint Anetwork/rows/10/currentSourceSetpointA5/8A
    network · rows · DC state J=5/8 A · node Potentials V · n0network/rows/10/nodePotentialsV/n00V
    network · rows · DC state J=5/8 A · node Potentials V · anetwork/rows/10/nodePotentialsV/a12V
    network · rows · DC state J=5/8 A · node Potentials V · bnetwork/rows/10/nodePotentialsV/b297/64V
    network · rows · DC state J=5/8 A · node Potentials V · cnetwork/rows/10/nodePotentialsV/c561/128V
    network · rows · DC state J=5/8 A · node Potentials V · dnetwork/rows/10/nodePotentialsV/d3V
    network · rows · DC state J=5/8 A · branches · branch b0 · voltage Vnetwork/rows/10/branches/0/voltageV12V
    network · rows · DC state J=5/8 A · branches · branch b0 · current Anetwork/rows/10/branches/0/currentA-157/128A
    network · rows · DC state J=5/8 A · branches · branch b0 · absorbed Power Wnetwork/rows/10/branches/0/absorbedPowerW-471/32W
    network · rows · DC state J=5/8 A · branches · branch b1 · voltage Vnetwork/rows/10/branches/1/voltageV3V
    network · rows · DC state J=5/8 A · branches · branch b1 · current Anetwork/rows/10/branches/1/currentA177/512A
    network · rows · DC state J=5/8 A · branches · branch b1 · absorbed Power Wnetwork/rows/10/branches/1/absorbedPowerW531/512W
    network · rows · DC state J=5/8 A · branches · branch b2 · voltage Vnetwork/rows/10/branches/2/voltageV471/64V
    network · rows · DC state J=5/8 A · branches · branch b2 · current Anetwork/rows/10/branches/2/currentA157/128A
    network · rows · DC state J=5/8 A · branches · branch b2 · absorbed Power Wnetwork/rows/10/branches/2/absorbedPowerW73947/8192W
    network · rows · DC state J=5/8 A · branches · branch b3 · voltage Vnetwork/rows/10/branches/3/voltageV297/64V
    network · rows · DC state J=5/8 A · branches · branch b3 · current Anetwork/rows/10/branches/3/currentA33/64A
    network · rows · DC state J=5/8 A · branches · branch b3 · absorbed Power Wnetwork/rows/10/branches/3/absorbedPowerW9801/4096W
    network · rows · DC state J=5/8 A · branches · branch b4 · voltage Vnetwork/rows/10/branches/4/voltageV33/128V
    network · rows · DC state J=5/8 A · branches · branch b4 · current Anetwork/rows/10/branches/4/currentA11/128A
    network · rows · DC state J=5/8 A · branches · branch b4 · absorbed Power Wnetwork/rows/10/branches/4/absorbedPowerW363/16384W
    network · rows · DC state J=5/8 A · branches · branch b5 · voltage Vnetwork/rows/10/branches/5/voltageV177/128V
    network · rows · DC state J=5/8 A · branches · branch b5 · current Anetwork/rows/10/branches/5/currentA177/512A
    network · rows · DC state J=5/8 A · branches · branch b5 · absorbed Power Wnetwork/rows/10/branches/5/absorbedPowerW31329/65536W
    network · rows · DC state J=5/8 A · branches · branch b6 · voltage Vnetwork/rows/10/branches/6/voltageV561/128V
    network · rows · DC state J=5/8 A · branches · branch b6 · current Anetwork/rows/10/branches/6/currentA187/512A
    network · rows · DC state J=5/8 A · branches · branch b6 · absorbed Power Wnetwork/rows/10/branches/6/absorbedPowerW104907/65536W
    network · rows · DC state J=5/8 A · branches · branch b7 · voltage Vnetwork/rows/10/branches/7/voltageV33/128V
    network · rows · DC state J=5/8 A · branches · branch b7 · current Anetwork/rows/10/branches/7/currentA5/8A
    network · rows · DC state J=5/8 A · branches · branch b7 · absorbed Power Wnetwork/rows/10/branches/7/absorbedPowerW165/1024W
    network · rows · DC state J=5/8 A · kcl Residuals A · entry 0network/rows/10/kclResidualsA/00A
    network · rows · DC state J=5/8 A · kcl Residuals A · entry 1network/rows/10/kclResidualsA/10A
    network · rows · DC state J=5/8 A · kcl Residuals A · entry 2network/rows/10/kclResidualsA/20A
    network · rows · DC state J=5/8 A · kcl Residuals A · entry 3network/rows/10/kclResidualsA/30A
    network · rows · DC state J=5/8 A · kcl Residuals A · entry 4network/rows/10/kclResidualsA/40A
    network · rows · DC state J=5/8 A · cycle Residuals V · entry 0network/rows/10/cycleResidualsV/00V
    network · rows · DC state J=5/8 A · cycle Residuals V · entry 1network/rows/10/cycleResidualsV/10V
    network · rows · DC state J=5/8 A · cycle Residuals V · entry 2network/rows/10/cycleResidualsV/20V
    network · rows · DC state J=5/8 A · cycle Residuals V · entry 3network/rows/10/cycleResidualsV/30V
    network · rows · DC state J=5/8 A · fundamental Cutset Residuals A · entry 0network/rows/10/fundamentalCutsetResidualsA/00A
    network · rows · DC state J=5/8 A · fundamental Cutset Residuals A · entry 1network/rows/10/fundamentalCutsetResidualsA/10A
    network · rows · DC state J=5/8 A · fundamental Cutset Residuals A · entry 2network/rows/10/fundamentalCutsetResidualsA/20A
    network · rows · DC state J=5/8 A · fundamental Cutset Residuals A · entry 3network/rows/10/fundamentalCutsetResidualsA/30A
    network · rows · DC state J=5/8 A · resistor Law Residuals V · entry 0network/rows/10/resistorLawResidualsV/00V
    network · rows · DC state J=5/8 A · resistor Law Residuals V · entry 1network/rows/10/resistorLawResidualsV/10V
    network · rows · DC state J=5/8 A · resistor Law Residuals V · entry 2network/rows/10/resistorLawResidualsV/20V
    network · rows · DC state J=5/8 A · resistor Law Residuals V · entry 3network/rows/10/resistorLawResidualsV/30V
    network · rows · DC state J=5/8 A · resistor Law Residuals V · entry 4network/rows/10/resistorLawResidualsV/40V
    network · rows · DC state J=5/8 A · total Absorbed Power Wnetwork/rows/10/totalAbsorbedPowerW0W
    network · rows · DC state J=11/16 A · current Source Setpoint Anetwork/rows/11/currentSourceSetpointA11/16A
    network · rows · DC state J=11/16 A · node Potentials V · n0network/rows/11/nodePotentialsV/n00V
    network · rows · DC state J=11/16 A · node Potentials V · anetwork/rows/11/nodePotentialsV/a12V
    network · rows · DC state J=11/16 A · node Potentials V · bnetwork/rows/11/nodePotentialsV/b585/128V
    network · rows · DC state J=11/16 A · node Potentials V · cnetwork/rows/11/nodePotentialsV/c1137/256V
    network · rows · DC state J=11/16 A · node Potentials V · dnetwork/rows/11/nodePotentialsV/d3V
    network · rows · DC state J=11/16 A · branches · branch b0 · voltage Vnetwork/rows/11/branches/0/voltageV12V
    network · rows · DC state J=11/16 A · branches · branch b0 · current Anetwork/rows/11/branches/0/currentA-317/256A
    network · rows · DC state J=11/16 A · branches · branch b0 · absorbed Power Wnetwork/rows/11/branches/0/absorbedPowerW-951/64W
    network · rows · DC state J=11/16 A · branches · branch b1 · voltage Vnetwork/rows/11/branches/1/voltageV3V
    network · rows · DC state J=11/16 A · branches · branch b1 · current Anetwork/rows/11/branches/1/currentA369/1024A
    network · rows · DC state J=11/16 A · branches · branch b1 · absorbed Power Wnetwork/rows/11/branches/1/absorbedPowerW1107/1024W
    network · rows · DC state J=11/16 A · branches · branch b2 · voltage Vnetwork/rows/11/branches/2/voltageV951/128V
    network · rows · DC state J=11/16 A · branches · branch b2 · current Anetwork/rows/11/branches/2/currentA317/256A
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    network · rows · DC state J=11/16 A · branches · branch b3 · voltage Vnetwork/rows/11/branches/3/voltageV585/128V
    network · rows · DC state J=11/16 A · branches · branch b3 · current Anetwork/rows/11/branches/3/currentA65/128A
    network · rows · DC state J=11/16 A · branches · branch b3 · absorbed Power Wnetwork/rows/11/branches/3/absorbedPowerW38025/16384W
    network · rows · DC state J=11/16 A · branches · branch b4 · voltage Vnetwork/rows/11/branches/4/voltageV33/256V
    network · rows · DC state J=11/16 A · branches · branch b4 · current Anetwork/rows/11/branches/4/currentA11/256A
    network · rows · DC state J=11/16 A · branches · branch b4 · absorbed Power Wnetwork/rows/11/branches/4/absorbedPowerW363/65536W
    network · rows · DC state J=11/16 A · branches · branch b5 · voltage Vnetwork/rows/11/branches/5/voltageV369/256V
    network · rows · DC state J=11/16 A · branches · branch b5 · current Anetwork/rows/11/branches/5/currentA369/1024A
    network · rows · DC state J=11/16 A · branches · branch b5 · absorbed Power Wnetwork/rows/11/branches/5/absorbedPowerW136161/262144W
    network · rows · DC state J=11/16 A · branches · branch b6 · voltage Vnetwork/rows/11/branches/6/voltageV1137/256V
    network · rows · DC state J=11/16 A · branches · branch b6 · current Anetwork/rows/11/branches/6/currentA379/1024A
    network · rows · DC state J=11/16 A · branches · branch b6 · absorbed Power Wnetwork/rows/11/branches/6/absorbedPowerW430923/262144W
    network · rows · DC state J=11/16 A · branches · branch b7 · voltage Vnetwork/rows/11/branches/7/voltageV33/256V
    network · rows · DC state J=11/16 A · branches · branch b7 · current Anetwork/rows/11/branches/7/currentA11/16A
    network · rows · DC state J=11/16 A · branches · branch b7 · absorbed Power Wnetwork/rows/11/branches/7/absorbedPowerW363/4096W
    network · rows · DC state J=11/16 A · kcl Residuals A · entry 0network/rows/11/kclResidualsA/00A
    network · rows · DC state J=11/16 A · kcl Residuals A · entry 1network/rows/11/kclResidualsA/10A
    network · rows · DC state J=11/16 A · kcl Residuals A · entry 2network/rows/11/kclResidualsA/20A
    network · rows · DC state J=11/16 A · kcl Residuals A · entry 3network/rows/11/kclResidualsA/30A
    network · rows · DC state J=11/16 A · kcl Residuals A · entry 4network/rows/11/kclResidualsA/40A
    network · rows · DC state J=11/16 A · cycle Residuals V · entry 0network/rows/11/cycleResidualsV/00V
    network · rows · DC state J=11/16 A · cycle Residuals V · entry 1network/rows/11/cycleResidualsV/10V
    network · rows · DC state J=11/16 A · cycle Residuals V · entry 2network/rows/11/cycleResidualsV/20V
    network · rows · DC state J=11/16 A · cycle Residuals V · entry 3network/rows/11/cycleResidualsV/30V
    network · rows · DC state J=11/16 A · fundamental Cutset Residuals A · entry 0network/rows/11/fundamentalCutsetResidualsA/00A
    network · rows · DC state J=11/16 A · fundamental Cutset Residuals A · entry 1network/rows/11/fundamentalCutsetResidualsA/10A
    network · rows · DC state J=11/16 A · fundamental Cutset Residuals A · entry 2network/rows/11/fundamentalCutsetResidualsA/20A
    network · rows · DC state J=11/16 A · fundamental Cutset Residuals A · entry 3network/rows/11/fundamentalCutsetResidualsA/30A
    network · rows · DC state J=11/16 A · resistor Law Residuals V · entry 0network/rows/11/resistorLawResidualsV/00V
    network · rows · DC state J=11/16 A · resistor Law Residuals V · entry 1network/rows/11/resistorLawResidualsV/10V
    network · rows · DC state J=11/16 A · resistor Law Residuals V · entry 2network/rows/11/resistorLawResidualsV/20V
    network · rows · DC state J=11/16 A · resistor Law Residuals V · entry 3network/rows/11/resistorLawResidualsV/30V
    network · rows · DC state J=11/16 A · resistor Law Residuals V · entry 4network/rows/11/resistorLawResidualsV/40V
    network · rows · DC state J=11/16 A · total Absorbed Power Wnetwork/rows/11/totalAbsorbedPowerW0W
    network · rows · DC state J=3/4 A · current Source Setpoint Anetwork/rows/12/currentSourceSetpointA3/4A
    network · rows · DC state J=3/4 A · node Potentials V · n0network/rows/12/nodePotentialsV/n00V
    network · rows · DC state J=3/4 A · node Potentials V · anetwork/rows/12/nodePotentialsV/a12V
    network · rows · DC state J=3/4 A · node Potentials V · bnetwork/rows/12/nodePotentialsV/b9/2V
    network · rows · DC state J=3/4 A · node Potentials V · cnetwork/rows/12/nodePotentialsV/c9/2V
    network · rows · DC state J=3/4 A · node Potentials V · dnetwork/rows/12/nodePotentialsV/d3V
    network · rows · DC state J=3/4 A · branches · branch b0 · voltage Vnetwork/rows/12/branches/0/voltageV12V
    network · rows · DC state J=3/4 A · branches · branch b0 · current Anetwork/rows/12/branches/0/currentA-5/4A
    network · rows · DC state J=3/4 A · branches · branch b0 · absorbed Power Wnetwork/rows/12/branches/0/absorbedPowerW-15W
    network · rows · DC state J=3/4 A · branches · branch b1 · voltage Vnetwork/rows/12/branches/1/voltageV3V
    network · rows · DC state J=3/4 A · branches · branch b1 · current Anetwork/rows/12/branches/1/currentA3/8A
    network · rows · DC state J=3/4 A · branches · branch b1 · absorbed Power Wnetwork/rows/12/branches/1/absorbedPowerW9/8W
    network · rows · DC state J=3/4 A · branches · branch b2 · voltage Vnetwork/rows/12/branches/2/voltageV15/2V
    network · rows · DC state J=3/4 A · branches · branch b2 · current Anetwork/rows/12/branches/2/currentA5/4A
    network · rows · DC state J=3/4 A · branches · branch b2 · absorbed Power Wnetwork/rows/12/branches/2/absorbedPowerW75/8W
    network · rows · DC state J=3/4 A · branches · branch b3 · voltage Vnetwork/rows/12/branches/3/voltageV9/2V
    network · rows · DC state J=3/4 A · branches · branch b3 · current Anetwork/rows/12/branches/3/currentA1/2A
    network · rows · DC state J=3/4 A · branches · branch b3 · absorbed Power Wnetwork/rows/12/branches/3/absorbedPowerW9/4W
    network · rows · DC state J=3/4 A · branches · branch b4 · voltage Vnetwork/rows/12/branches/4/voltageV0V
    network · rows · DC state J=3/4 A · branches · branch b4 · current Anetwork/rows/12/branches/4/currentA0A
    network · rows · DC state J=3/4 A · branches · branch b4 · absorbed Power Wnetwork/rows/12/branches/4/absorbedPowerW0W
    network · rows · DC state J=3/4 A · branches · branch b5 · voltage Vnetwork/rows/12/branches/5/voltageV3/2V
    network · rows · DC state J=3/4 A · branches · branch b5 · current Anetwork/rows/12/branches/5/currentA3/8A
    network · rows · DC state J=3/4 A · branches · branch b5 · absorbed Power Wnetwork/rows/12/branches/5/absorbedPowerW9/16W
    network · rows · DC state J=3/4 A · branches · branch b6 · voltage Vnetwork/rows/12/branches/6/voltageV9/2V
    network · rows · DC state J=3/4 A · branches · branch b6 · current Anetwork/rows/12/branches/6/currentA3/8A
    network · rows · DC state J=3/4 A · branches · branch b6 · absorbed Power Wnetwork/rows/12/branches/6/absorbedPowerW27/16W
    network · rows · DC state J=3/4 A · branches · branch b7 · voltage Vnetwork/rows/12/branches/7/voltageV0V
    network · rows · DC state J=3/4 A · branches · branch b7 · current Anetwork/rows/12/branches/7/currentA3/4A
    network · rows · DC state J=3/4 A · branches · branch b7 · absorbed Power Wnetwork/rows/12/branches/7/absorbedPowerW0W
    network · rows · DC state J=3/4 A · kcl Residuals A · entry 0network/rows/12/kclResidualsA/00A
    network · rows · DC state J=3/4 A · kcl Residuals A · entry 1network/rows/12/kclResidualsA/10A
    network · rows · DC state J=3/4 A · kcl Residuals A · entry 2network/rows/12/kclResidualsA/20A
    network · rows · DC state J=3/4 A · kcl Residuals A · entry 3network/rows/12/kclResidualsA/30A
    network · rows · DC state J=3/4 A · kcl Residuals A · entry 4network/rows/12/kclResidualsA/40A
    network · rows · DC state J=3/4 A · cycle Residuals V · entry 0network/rows/12/cycleResidualsV/00V
    network · rows · DC state J=3/4 A · cycle Residuals V · entry 1network/rows/12/cycleResidualsV/10V
    network · rows · DC state J=3/4 A · cycle Residuals V · entry 2network/rows/12/cycleResidualsV/20V
    network · rows · DC state J=3/4 A · cycle Residuals V · entry 3network/rows/12/cycleResidualsV/30V
    network · rows · DC state J=3/4 A · fundamental Cutset Residuals A · entry 0network/rows/12/fundamentalCutsetResidualsA/00A
    network · rows · DC state J=3/4 A · fundamental Cutset Residuals A · entry 1network/rows/12/fundamentalCutsetResidualsA/10A
    network · rows · DC state J=3/4 A · fundamental Cutset Residuals A · entry 2network/rows/12/fundamentalCutsetResidualsA/20A
    network · rows · DC state J=3/4 A · fundamental Cutset Residuals A · entry 3network/rows/12/fundamentalCutsetResidualsA/30A
    network · rows · DC state J=3/4 A · resistor Law Residuals V · entry 0network/rows/12/resistorLawResidualsV/00V
    network · rows · DC state J=3/4 A · resistor Law Residuals V · entry 1network/rows/12/resistorLawResidualsV/10V
    network · rows · DC state J=3/4 A · resistor Law Residuals V · entry 2network/rows/12/resistorLawResidualsV/20V
    network · rows · DC state J=3/4 A · resistor Law Residuals V · entry 3network/rows/12/resistorLawResidualsV/30V
    network · rows · DC state J=3/4 A · resistor Law Residuals V · entry 4network/rows/12/resistorLawResidualsV/40V
    network · rows · DC state J=3/4 A · total Absorbed Power Wnetwork/rows/12/totalAbsorbedPowerW0W
    network · rows · DC state J=13/16 A · current Source Setpoint Anetwork/rows/13/currentSourceSetpointA13/16A
    network · rows · DC state J=13/16 A · node Potentials V · n0network/rows/13/nodePotentialsV/n00V
    network · rows · DC state J=13/16 A · node Potentials V · anetwork/rows/13/nodePotentialsV/a12V
    network · rows · DC state J=13/16 A · node Potentials V · bnetwork/rows/13/nodePotentialsV/b567/128V
    network · rows · DC state J=13/16 A · node Potentials V · cnetwork/rows/13/nodePotentialsV/c1167/256V
    network · rows · DC state J=13/16 A · node Potentials V · dnetwork/rows/13/nodePotentialsV/d3V
    network · rows · DC state J=13/16 A · branches · branch b0 · voltage Vnetwork/rows/13/branches/0/voltageV12V
    network · rows · DC state J=13/16 A · branches · branch b0 · current Anetwork/rows/13/branches/0/currentA-323/256A
    network · rows · DC state J=13/16 A · branches · branch b0 · absorbed Power Wnetwork/rows/13/branches/0/absorbedPowerW-969/64W
    network · rows · DC state J=13/16 A · branches · branch b1 · voltage Vnetwork/rows/13/branches/1/voltageV3V
    network · rows · DC state J=13/16 A · branches · branch b1 · current Anetwork/rows/13/branches/1/currentA399/1024A
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    network · rows · DC state J=13/16 A · branches · branch b3 · current Anetwork/rows/13/branches/3/currentA63/128A
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    network · rows · DC state J=13/16 A · branches · branch b4 · voltage Vnetwork/rows/13/branches/4/voltageV-33/256V
    network · rows · DC state J=13/16 A · branches · branch b4 · current Anetwork/rows/13/branches/4/currentA-11/256A
    network · rows · DC state J=13/16 A · branches · branch b4 · absorbed Power Wnetwork/rows/13/branches/4/absorbedPowerW363/65536W
    network · rows · DC state J=13/16 A · branches · branch b5 · voltage Vnetwork/rows/13/branches/5/voltageV399/256V
    network · rows · DC state J=13/16 A · branches · branch b5 · current Anetwork/rows/13/branches/5/currentA399/1024A
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    network · rows · DC state J=13/16 A · branches · branch b6 · current Anetwork/rows/13/branches/6/currentA389/1024A
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    network · rows · DC state J=13/16 A · branches · branch b7 · voltage Vnetwork/rows/13/branches/7/voltageV-33/256V
    network · rows · DC state J=13/16 A · branches · branch b7 · current Anetwork/rows/13/branches/7/currentA13/16A
    network · rows · DC state J=13/16 A · branches · branch b7 · absorbed Power Wnetwork/rows/13/branches/7/absorbedPowerW-429/4096W
    network · rows · DC state J=13/16 A · kcl Residuals A · entry 0network/rows/13/kclResidualsA/00A
    network · rows · DC state J=13/16 A · kcl Residuals A · entry 1network/rows/13/kclResidualsA/10A
    network · rows · DC state J=13/16 A · kcl Residuals A · entry 2network/rows/13/kclResidualsA/20A
    network · rows · DC state J=13/16 A · kcl Residuals A · entry 3network/rows/13/kclResidualsA/30A
    network · rows · DC state J=13/16 A · kcl Residuals A · entry 4network/rows/13/kclResidualsA/40A
    network · rows · DC state J=13/16 A · cycle Residuals V · entry 0network/rows/13/cycleResidualsV/00V
    network · rows · DC state J=13/16 A · cycle Residuals V · entry 1network/rows/13/cycleResidualsV/10V
    network · rows · DC state J=13/16 A · cycle Residuals V · entry 2network/rows/13/cycleResidualsV/20V
    network · rows · DC state J=13/16 A · cycle Residuals V · entry 3network/rows/13/cycleResidualsV/30V
    network · rows · DC state J=13/16 A · fundamental Cutset Residuals A · entry 0network/rows/13/fundamentalCutsetResidualsA/00A
    network · rows · DC state J=13/16 A · fundamental Cutset Residuals A · entry 1network/rows/13/fundamentalCutsetResidualsA/10A
    network · rows · DC state J=13/16 A · fundamental Cutset Residuals A · entry 2network/rows/13/fundamentalCutsetResidualsA/20A
    network · rows · DC state J=13/16 A · fundamental Cutset Residuals A · entry 3network/rows/13/fundamentalCutsetResidualsA/30A
    network · rows · DC state J=13/16 A · resistor Law Residuals V · entry 0network/rows/13/resistorLawResidualsV/00V
    network · rows · DC state J=13/16 A · resistor Law Residuals V · entry 1network/rows/13/resistorLawResidualsV/10V
    network · rows · DC state J=13/16 A · resistor Law Residuals V · entry 2network/rows/13/resistorLawResidualsV/20V
    network · rows · DC state J=13/16 A · resistor Law Residuals V · entry 3network/rows/13/resistorLawResidualsV/30V
    network · rows · DC state J=13/16 A · resistor Law Residuals V · entry 4network/rows/13/resistorLawResidualsV/40V
    network · rows · DC state J=13/16 A · total Absorbed Power Wnetwork/rows/13/totalAbsorbedPowerW0W
    network · rows · DC state J=7/8 A · current Source Setpoint Anetwork/rows/14/currentSourceSetpointA7/8A
    network · rows · DC state J=7/8 A · node Potentials V · n0network/rows/14/nodePotentialsV/n00V
    network · rows · DC state J=7/8 A · node Potentials V · anetwork/rows/14/nodePotentialsV/a12V
    network · rows · DC state J=7/8 A · node Potentials V · bnetwork/rows/14/nodePotentialsV/b279/64V
    network · rows · DC state J=7/8 A · node Potentials V · cnetwork/rows/14/nodePotentialsV/c591/128V
    network · rows · DC state J=7/8 A · node Potentials V · dnetwork/rows/14/nodePotentialsV/d3V
    network · rows · DC state J=7/8 A · branches · branch b0 · voltage Vnetwork/rows/14/branches/0/voltageV12V
    network · rows · DC state J=7/8 A · branches · branch b0 · current Anetwork/rows/14/branches/0/currentA-163/128A
    network · rows · DC state J=7/8 A · branches · branch b0 · absorbed Power Wnetwork/rows/14/branches/0/absorbedPowerW-489/32W
    network · rows · DC state J=7/8 A · branches · branch b1 · voltage Vnetwork/rows/14/branches/1/voltageV3V
    network · rows · DC state J=7/8 A · branches · branch b1 · current Anetwork/rows/14/branches/1/currentA207/512A
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    network · rows · DC state J=7/8 A · branches · branch b2 · voltage Vnetwork/rows/14/branches/2/voltageV489/64V
    network · rows · DC state J=7/8 A · branches · branch b2 · current Anetwork/rows/14/branches/2/currentA163/128A
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    network · rows · DC state J=7/8 A · branches · branch b3 · voltage Vnetwork/rows/14/branches/3/voltageV279/64V
    network · rows · DC state J=7/8 A · branches · branch b3 · current Anetwork/rows/14/branches/3/currentA31/64A
    network · rows · DC state J=7/8 A · branches · branch b3 · absorbed Power Wnetwork/rows/14/branches/3/absorbedPowerW8649/4096W
    network · rows · DC state J=7/8 A · branches · branch b4 · voltage Vnetwork/rows/14/branches/4/voltageV-33/128V
    network · rows · DC state J=7/8 A · branches · branch b4 · current Anetwork/rows/14/branches/4/currentA-11/128A
    network · rows · DC state J=7/8 A · branches · branch b4 · absorbed Power Wnetwork/rows/14/branches/4/absorbedPowerW363/16384W
    network · rows · DC state J=7/8 A · branches · branch b5 · voltage Vnetwork/rows/14/branches/5/voltageV207/128V
    network · rows · DC state J=7/8 A · branches · branch b5 · current Anetwork/rows/14/branches/5/currentA207/512A
    network · rows · DC state J=7/8 A · branches · branch b5 · absorbed Power Wnetwork/rows/14/branches/5/absorbedPowerW42849/65536W
    network · rows · DC state J=7/8 A · branches · branch b6 · voltage Vnetwork/rows/14/branches/6/voltageV591/128V
    network · rows · DC state J=7/8 A · branches · branch b6 · current Anetwork/rows/14/branches/6/currentA197/512A
    network · rows · DC state J=7/8 A · branches · branch b6 · absorbed Power Wnetwork/rows/14/branches/6/absorbedPowerW116427/65536W
    network · rows · DC state J=7/8 A · branches · branch b7 · voltage Vnetwork/rows/14/branches/7/voltageV-33/128V
    network · rows · DC state J=7/8 A · branches · branch b7 · current Anetwork/rows/14/branches/7/currentA7/8A
    network · rows · DC state J=7/8 A · branches · branch b7 · absorbed Power Wnetwork/rows/14/branches/7/absorbedPowerW-231/1024W
    network · rows · DC state J=7/8 A · kcl Residuals A · entry 0network/rows/14/kclResidualsA/00A
    network · rows · DC state J=7/8 A · kcl Residuals A · entry 1network/rows/14/kclResidualsA/10A
    network · rows · DC state J=7/8 A · kcl Residuals A · entry 2network/rows/14/kclResidualsA/20A
    network · rows · DC state J=7/8 A · kcl Residuals A · entry 3network/rows/14/kclResidualsA/30A
    network · rows · DC state J=7/8 A · kcl Residuals A · entry 4network/rows/14/kclResidualsA/40A
    network · rows · DC state J=7/8 A · cycle Residuals V · entry 0network/rows/14/cycleResidualsV/00V
    network · rows · DC state J=7/8 A · cycle Residuals V · entry 1network/rows/14/cycleResidualsV/10V
    network · rows · DC state J=7/8 A · cycle Residuals V · entry 2network/rows/14/cycleResidualsV/20V
    network · rows · DC state J=7/8 A · cycle Residuals V · entry 3network/rows/14/cycleResidualsV/30V
    network · rows · DC state J=7/8 A · fundamental Cutset Residuals A · entry 0network/rows/14/fundamentalCutsetResidualsA/00A
    network · rows · DC state J=7/8 A · fundamental Cutset Residuals A · entry 1network/rows/14/fundamentalCutsetResidualsA/10A
    network · rows · DC state J=7/8 A · fundamental Cutset Residuals A · entry 2network/rows/14/fundamentalCutsetResidualsA/20A
    network · rows · DC state J=7/8 A · fundamental Cutset Residuals A · entry 3network/rows/14/fundamentalCutsetResidualsA/30A
    network · rows · DC state J=7/8 A · resistor Law Residuals V · entry 0network/rows/14/resistorLawResidualsV/00V
    network · rows · DC state J=7/8 A · resistor Law Residuals V · entry 1network/rows/14/resistorLawResidualsV/10V
    network · rows · DC state J=7/8 A · resistor Law Residuals V · entry 2network/rows/14/resistorLawResidualsV/20V
    network · rows · DC state J=7/8 A · resistor Law Residuals V · entry 3network/rows/14/resistorLawResidualsV/30V
    network · rows · DC state J=7/8 A · resistor Law Residuals V · entry 4network/rows/14/resistorLawResidualsV/40V
    network · rows · DC state J=7/8 A · total Absorbed Power Wnetwork/rows/14/totalAbsorbedPowerW0W
    network · rows · DC state J=15/16 A · current Source Setpoint Anetwork/rows/15/currentSourceSetpointA15/16A
    network · rows · DC state J=15/16 A · node Potentials V · n0network/rows/15/nodePotentialsV/n00V
    network · rows · DC state J=15/16 A · node Potentials V · anetwork/rows/15/nodePotentialsV/a12V
    network · rows · DC state J=15/16 A · node Potentials V · bnetwork/rows/15/nodePotentialsV/b549/128V
    network · rows · DC state J=15/16 A · node Potentials V · cnetwork/rows/15/nodePotentialsV/c1197/256V
    network · rows · DC state J=15/16 A · node Potentials V · dnetwork/rows/15/nodePotentialsV/d3V
    network · rows · DC state J=15/16 A · branches · branch b0 · voltage Vnetwork/rows/15/branches/0/voltageV12V
    network · rows · DC state J=15/16 A · branches · branch b0 · current Anetwork/rows/15/branches/0/currentA-329/256A
    network · rows · DC state J=15/16 A · branches · branch b0 · absorbed Power Wnetwork/rows/15/branches/0/absorbedPowerW-987/64W
    network · rows · DC state J=15/16 A · branches · branch b1 · voltage Vnetwork/rows/15/branches/1/voltageV3V
    network · rows · DC state J=15/16 A · branches · branch b1 · current Anetwork/rows/15/branches/1/currentA429/1024A
    network · rows · DC state J=15/16 A · branches · branch b1 · absorbed Power Wnetwork/rows/15/branches/1/absorbedPowerW1287/1024W
    network · rows · DC state J=15/16 A · branches · branch b2 · voltage Vnetwork/rows/15/branches/2/voltageV987/128V
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    network · rows · DC state J=15/16 A · branches · branch b3 · current Anetwork/rows/15/branches/3/currentA61/128A
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    network · rows · DC state J=15/16 A · branches · branch b4 · voltage Vnetwork/rows/15/branches/4/voltageV-99/256V
    network · rows · DC state J=15/16 A · branches · branch b4 · current Anetwork/rows/15/branches/4/currentA-33/256A
    network · rows · DC state J=15/16 A · branches · branch b4 · absorbed Power Wnetwork/rows/15/branches/4/absorbedPowerW3267/65536W
    network · rows · DC state J=15/16 A · branches · branch b5 · voltage Vnetwork/rows/15/branches/5/voltageV429/256V
    network · rows · DC state J=15/16 A · branches · branch b5 · current Anetwork/rows/15/branches/5/currentA429/1024A
    network · rows · DC state J=15/16 A · branches · branch b5 · absorbed Power Wnetwork/rows/15/branches/5/absorbedPowerW184041/262144W
    network · rows · DC state J=15/16 A · branches · branch b6 · voltage Vnetwork/rows/15/branches/6/voltageV1197/256V
    network · rows · DC state J=15/16 A · branches · branch b6 · current Anetwork/rows/15/branches/6/currentA399/1024A
    network · rows · DC state J=15/16 A · branches · branch b6 · absorbed Power Wnetwork/rows/15/branches/6/absorbedPowerW477603/262144W
    network · rows · DC state J=15/16 A · branches · branch b7 · voltage Vnetwork/rows/15/branches/7/voltageV-99/256V
    network · rows · DC state J=15/16 A · branches · branch b7 · current Anetwork/rows/15/branches/7/currentA15/16A
    network · rows · DC state J=15/16 A · branches · branch b7 · absorbed Power Wnetwork/rows/15/branches/7/absorbedPowerW-1485/4096W
    network · rows · DC state J=15/16 A · kcl Residuals A · entry 0network/rows/15/kclResidualsA/00A
    network · rows · DC state J=15/16 A · kcl Residuals A · entry 1network/rows/15/kclResidualsA/10A
    network · rows · DC state J=15/16 A · kcl Residuals A · entry 2network/rows/15/kclResidualsA/20A
    network · rows · DC state J=15/16 A · kcl Residuals A · entry 3network/rows/15/kclResidualsA/30A
    network · rows · DC state J=15/16 A · kcl Residuals A · entry 4network/rows/15/kclResidualsA/40A
    network · rows · DC state J=15/16 A · cycle Residuals V · entry 0network/rows/15/cycleResidualsV/00V
    network · rows · DC state J=15/16 A · cycle Residuals V · entry 1network/rows/15/cycleResidualsV/10V
    network · rows · DC state J=15/16 A · cycle Residuals V · entry 2network/rows/15/cycleResidualsV/20V
    network · rows · DC state J=15/16 A · cycle Residuals V · entry 3network/rows/15/cycleResidualsV/30V
    network · rows · DC state J=15/16 A · fundamental Cutset Residuals A · entry 0network/rows/15/fundamentalCutsetResidualsA/00A
    network · rows · DC state J=15/16 A · fundamental Cutset Residuals A · entry 1network/rows/15/fundamentalCutsetResidualsA/10A
    network · rows · DC state J=15/16 A · fundamental Cutset Residuals A · entry 2network/rows/15/fundamentalCutsetResidualsA/20A
    network · rows · DC state J=15/16 A · fundamental Cutset Residuals A · entry 3network/rows/15/fundamentalCutsetResidualsA/30A
    network · rows · DC state J=15/16 A · resistor Law Residuals V · entry 0network/rows/15/resistorLawResidualsV/00V
    network · rows · DC state J=15/16 A · resistor Law Residuals V · entry 1network/rows/15/resistorLawResidualsV/10V
    network · rows · DC state J=15/16 A · resistor Law Residuals V · entry 2network/rows/15/resistorLawResidualsV/20V
    network · rows · DC state J=15/16 A · resistor Law Residuals V · entry 3network/rows/15/resistorLawResidualsV/30V
    network · rows · DC state J=15/16 A · resistor Law Residuals V · entry 4network/rows/15/resistorLawResidualsV/40V
    network · rows · DC state J=15/16 A · total Absorbed Power Wnetwork/rows/15/totalAbsorbedPowerW0W
    network · rows · DC state J=1 A · current Source Setpoint Anetwork/rows/16/currentSourceSetpointA1A
    network · rows · DC state J=1 A · node Potentials V · n0network/rows/16/nodePotentialsV/n00V
    network · rows · DC state J=1 A · node Potentials V · anetwork/rows/16/nodePotentialsV/a12V
    network · rows · DC state J=1 A · node Potentials V · bnetwork/rows/16/nodePotentialsV/b135/32V
    network · rows · DC state J=1 A · node Potentials V · cnetwork/rows/16/nodePotentialsV/c303/64V
    network · rows · DC state J=1 A · node Potentials V · dnetwork/rows/16/nodePotentialsV/d3V
    network · rows · DC state J=1 A · branches · branch b0 · voltage Vnetwork/rows/16/branches/0/voltageV12V
    network · rows · DC state J=1 A · branches · branch b0 · current Anetwork/rows/16/branches/0/currentA-83/64A
    network · rows · DC state J=1 A · branches · branch b0 · absorbed Power Wnetwork/rows/16/branches/0/absorbedPowerW-249/16W
    network · rows · DC state J=1 A · branches · branch b1 · voltage Vnetwork/rows/16/branches/1/voltageV3V
    network · rows · DC state J=1 A · branches · branch b1 · current Anetwork/rows/16/branches/1/currentA111/256A
    network · rows · DC state J=1 A · branches · branch b1 · absorbed Power Wnetwork/rows/16/branches/1/absorbedPowerW333/256W
    network · rows · DC state J=1 A · branches · branch b2 · voltage Vnetwork/rows/16/branches/2/voltageV249/32V
    network · rows · DC state J=1 A · branches · branch b2 · current Anetwork/rows/16/branches/2/currentA83/64A
    network · rows · DC state J=1 A · branches · branch b2 · absorbed Power Wnetwork/rows/16/branches/2/absorbedPowerW20667/2048W
    network · rows · DC state J=1 A · branches · branch b3 · voltage Vnetwork/rows/16/branches/3/voltageV135/32V
    network · rows · DC state J=1 A · branches · branch b3 · current Anetwork/rows/16/branches/3/currentA15/32A
    network · rows · DC state J=1 A · branches · branch b3 · absorbed Power Wnetwork/rows/16/branches/3/absorbedPowerW2025/1024W
    network · rows · DC state J=1 A · branches · branch b4 · voltage Vnetwork/rows/16/branches/4/voltageV-33/64V
    network · rows · DC state J=1 A · branches · branch b4 · current Anetwork/rows/16/branches/4/currentA-11/64A
    network · rows · DC state J=1 A · branches · branch b4 · absorbed Power Wnetwork/rows/16/branches/4/absorbedPowerW363/4096W
    network · rows · DC state J=1 A · branches · branch b5 · voltage Vnetwork/rows/16/branches/5/voltageV111/64V
    network · rows · DC state J=1 A · branches · branch b5 · current Anetwork/rows/16/branches/5/currentA111/256A
    network · rows · DC state J=1 A · branches · branch b5 · absorbed Power Wnetwork/rows/16/branches/5/absorbedPowerW12321/16384W
    network · rows · DC state J=1 A · branches · branch b6 · voltage Vnetwork/rows/16/branches/6/voltageV303/64V
    network · rows · DC state J=1 A · branches · branch b6 · current Anetwork/rows/16/branches/6/currentA101/256A
    network · rows · DC state J=1 A · branches · branch b6 · absorbed Power Wnetwork/rows/16/branches/6/absorbedPowerW30603/16384W
    network · rows · DC state J=1 A · branches · branch b7 · voltage Vnetwork/rows/16/branches/7/voltageV-33/64V
    network · rows · DC state J=1 A · branches · branch b7 · current Anetwork/rows/16/branches/7/currentA1A
    network · rows · DC state J=1 A · branches · branch b7 · absorbed Power Wnetwork/rows/16/branches/7/absorbedPowerW-33/64W
    network · rows · DC state J=1 A · kcl Residuals A · entry 0network/rows/16/kclResidualsA/00A
    network · rows · DC state J=1 A · kcl Residuals A · entry 1network/rows/16/kclResidualsA/10A
    network · rows · DC state J=1 A · kcl Residuals A · entry 2network/rows/16/kclResidualsA/20A
    network · rows · DC state J=1 A · kcl Residuals A · entry 3network/rows/16/kclResidualsA/30A
    network · rows · DC state J=1 A · kcl Residuals A · entry 4network/rows/16/kclResidualsA/40A
    network · rows · DC state J=1 A · cycle Residuals V · entry 0network/rows/16/cycleResidualsV/00V
    network · rows · DC state J=1 A · cycle Residuals V · entry 1network/rows/16/cycleResidualsV/10V
    network · rows · DC state J=1 A · cycle Residuals V · entry 2network/rows/16/cycleResidualsV/20V
    network · rows · DC state J=1 A · cycle Residuals V · entry 3network/rows/16/cycleResidualsV/30V
    network · rows · DC state J=1 A · fundamental Cutset Residuals A · entry 0network/rows/16/fundamentalCutsetResidualsA/00A
    network · rows · DC state J=1 A · fundamental Cutset Residuals A · entry 1network/rows/16/fundamentalCutsetResidualsA/10A
    network · rows · DC state J=1 A · fundamental Cutset Residuals A · entry 2network/rows/16/fundamentalCutsetResidualsA/20A
    network · rows · DC state J=1 A · fundamental Cutset Residuals A · entry 3network/rows/16/fundamentalCutsetResidualsA/30A
    network · rows · DC state J=1 A · resistor Law Residuals V · entry 0network/rows/16/resistorLawResidualsV/00V
    network · rows · DC state J=1 A · resistor Law Residuals V · entry 1network/rows/16/resistorLawResidualsV/10V
    network · rows · DC state J=1 A · resistor Law Residuals V · entry 2network/rows/16/resistorLawResidualsV/20V
    network · rows · DC state J=1 A · resistor Law Residuals V · entry 3network/rows/16/resistorLawResidualsV/30V
    network · rows · DC state J=1 A · resistor Law Residuals V · entry 4network/rows/16/resistorLawResidualsV/40V
    network · rows · DC state J=1 A · total Absorbed Power Wnetwork/rows/16/totalAbsorbedPowerW0W
    network · rows · DC state J=17/16 A · current Source Setpoint Anetwork/rows/17/currentSourceSetpointA17/16A
    network · rows · DC state J=17/16 A · node Potentials V · n0network/rows/17/nodePotentialsV/n00V
    network · rows · DC state J=17/16 A · node Potentials V · anetwork/rows/17/nodePotentialsV/a12V
    network · rows · DC state J=17/16 A · node Potentials V · bnetwork/rows/17/nodePotentialsV/b531/128V
    network · rows · DC state J=17/16 A · node Potentials V · cnetwork/rows/17/nodePotentialsV/c1227/256V
    network · rows · DC state J=17/16 A · node Potentials V · dnetwork/rows/17/nodePotentialsV/d3V
    network · rows · DC state J=17/16 A · branches · branch b0 · voltage Vnetwork/rows/17/branches/0/voltageV12V
    network · rows · DC state J=17/16 A · branches · branch b0 · current Anetwork/rows/17/branches/0/currentA-335/256A
    network · rows · DC state J=17/16 A · branches · branch b0 · absorbed Power Wnetwork/rows/17/branches/0/absorbedPowerW-1005/64W
    network · rows · DC state J=17/16 A · branches · branch b1 · voltage Vnetwork/rows/17/branches/1/voltageV3V
    network · rows · DC state J=17/16 A · branches · branch b1 · current Anetwork/rows/17/branches/1/currentA459/1024A
    network · rows · DC state J=17/16 A · branches · branch b1 · absorbed Power Wnetwork/rows/17/branches/1/absorbedPowerW1377/1024W
    network · rows · DC state J=17/16 A · branches · branch b2 · voltage Vnetwork/rows/17/branches/2/voltageV1005/128V
    network · rows · DC state J=17/16 A · branches · branch b2 · current Anetwork/rows/17/branches/2/currentA335/256A
    network · rows · DC state J=17/16 A · branches · branch b2 · absorbed Power Wnetwork/rows/17/branches/2/absorbedPowerW336675/32768W
    network · rows · DC state J=17/16 A · branches · branch b3 · voltage Vnetwork/rows/17/branches/3/voltageV531/128V
    network · rows · DC state J=17/16 A · branches · branch b3 · current Anetwork/rows/17/branches/3/currentA59/128A
    network · rows · DC state J=17/16 A · branches · branch b3 · absorbed Power Wnetwork/rows/17/branches/3/absorbedPowerW31329/16384W
    network · rows · DC state J=17/16 A · branches · branch b4 · voltage Vnetwork/rows/17/branches/4/voltageV-165/256V
    network · rows · DC state J=17/16 A · branches · branch b4 · current Anetwork/rows/17/branches/4/currentA-55/256A
    network · rows · DC state J=17/16 A · branches · branch b4 · absorbed Power Wnetwork/rows/17/branches/4/absorbedPowerW9075/65536W
    network · rows · DC state J=17/16 A · branches · branch b5 · voltage Vnetwork/rows/17/branches/5/voltageV459/256V
    network · rows · DC state J=17/16 A · branches · branch b5 · current Anetwork/rows/17/branches/5/currentA459/1024A
    network · rows · DC state J=17/16 A · branches · branch b5 · absorbed Power Wnetwork/rows/17/branches/5/absorbedPowerW210681/262144W
    network · rows · DC state J=17/16 A · branches · branch b6 · voltage Vnetwork/rows/17/branches/6/voltageV1227/256V
    network · rows · DC state J=17/16 A · branches · branch b6 · current Anetwork/rows/17/branches/6/currentA409/1024A
    network · rows · DC state J=17/16 A · branches · branch b6 · absorbed Power Wnetwork/rows/17/branches/6/absorbedPowerW501843/262144W
    network · rows · DC state J=17/16 A · branches · branch b7 · voltage Vnetwork/rows/17/branches/7/voltageV-165/256V
    network · rows · DC state J=17/16 A · branches · branch b7 · current Anetwork/rows/17/branches/7/currentA17/16A
    network · rows · DC state J=17/16 A · branches · branch b7 · absorbed Power Wnetwork/rows/17/branches/7/absorbedPowerW-2805/4096W
    network · rows · DC state J=17/16 A · kcl Residuals A · entry 0network/rows/17/kclResidualsA/00A
    network · rows · DC state J=17/16 A · kcl Residuals A · entry 1network/rows/17/kclResidualsA/10A
    network · rows · DC state J=17/16 A · kcl Residuals A · entry 2network/rows/17/kclResidualsA/20A
    network · rows · DC state J=17/16 A · kcl Residuals A · entry 3network/rows/17/kclResidualsA/30A
    network · rows · DC state J=17/16 A · kcl Residuals A · entry 4network/rows/17/kclResidualsA/40A
    network · rows · DC state J=17/16 A · cycle Residuals V · entry 0network/rows/17/cycleResidualsV/00V
    network · rows · DC state J=17/16 A · cycle Residuals V · entry 1network/rows/17/cycleResidualsV/10V
    network · rows · DC state J=17/16 A · cycle Residuals V · entry 2network/rows/17/cycleResidualsV/20V
    network · rows · DC state J=17/16 A · cycle Residuals V · entry 3network/rows/17/cycleResidualsV/30V
    network · rows · DC state J=17/16 A · fundamental Cutset Residuals A · entry 0network/rows/17/fundamentalCutsetResidualsA/00A
    network · rows · DC state J=17/16 A · fundamental Cutset Residuals A · entry 1network/rows/17/fundamentalCutsetResidualsA/10A
    network · rows · DC state J=17/16 A · fundamental Cutset Residuals A · entry 2network/rows/17/fundamentalCutsetResidualsA/20A
    network · rows · DC state J=17/16 A · fundamental Cutset Residuals A · entry 3network/rows/17/fundamentalCutsetResidualsA/30A
    network · rows · DC state J=17/16 A · resistor Law Residuals V · entry 0network/rows/17/resistorLawResidualsV/00V
    network · rows · DC state J=17/16 A · resistor Law Residuals V · entry 1network/rows/17/resistorLawResidualsV/10V
    network · rows · DC state J=17/16 A · resistor Law Residuals V · entry 2network/rows/17/resistorLawResidualsV/20V
    network · rows · DC state J=17/16 A · resistor Law Residuals V · entry 3network/rows/17/resistorLawResidualsV/30V
    network · rows · DC state J=17/16 A · resistor Law Residuals V · entry 4network/rows/17/resistorLawResidualsV/40V
    network · rows · DC state J=17/16 A · total Absorbed Power Wnetwork/rows/17/totalAbsorbedPowerW0W
    network · rows · DC state J=9/8 A · current Source Setpoint Anetwork/rows/18/currentSourceSetpointA9/8A
    network · rows · DC state J=9/8 A · node Potentials V · n0network/rows/18/nodePotentialsV/n00V
    network · rows · DC state J=9/8 A · node Potentials V · anetwork/rows/18/nodePotentialsV/a12V
    network · rows · DC state J=9/8 A · node Potentials V · bnetwork/rows/18/nodePotentialsV/b261/64V
    network · rows · DC state J=9/8 A · node Potentials V · cnetwork/rows/18/nodePotentialsV/c621/128V
    network · rows · DC state J=9/8 A · node Potentials V · dnetwork/rows/18/nodePotentialsV/d3V
    network · rows · DC state J=9/8 A · branches · branch b0 · voltage Vnetwork/rows/18/branches/0/voltageV12V
    network · rows · DC state J=9/8 A · branches · branch b0 · current Anetwork/rows/18/branches/0/currentA-169/128A
    network · rows · DC state J=9/8 A · branches · branch b0 · absorbed Power Wnetwork/rows/18/branches/0/absorbedPowerW-507/32W
    network · rows · DC state J=9/8 A · branches · branch b1 · voltage Vnetwork/rows/18/branches/1/voltageV3V
    network · rows · DC state J=9/8 A · branches · branch b1 · current Anetwork/rows/18/branches/1/currentA237/512A
    network · rows · DC state J=9/8 A · branches · branch b1 · absorbed Power Wnetwork/rows/18/branches/1/absorbedPowerW711/512W
    network · rows · DC state J=9/8 A · branches · branch b2 · voltage Vnetwork/rows/18/branches/2/voltageV507/64V
    network · rows · DC state J=9/8 A · branches · branch b2 · current Anetwork/rows/18/branches/2/currentA169/128A
    network · rows · DC state J=9/8 A · branches · branch b2 · absorbed Power Wnetwork/rows/18/branches/2/absorbedPowerW85683/8192W
    network · rows · DC state J=9/8 A · branches · branch b3 · voltage Vnetwork/rows/18/branches/3/voltageV261/64V
    network · rows · DC state J=9/8 A · branches · branch b3 · current Anetwork/rows/18/branches/3/currentA29/64A
    network · rows · DC state J=9/8 A · branches · branch b3 · absorbed Power Wnetwork/rows/18/branches/3/absorbedPowerW7569/4096W
    network · rows · DC state J=9/8 A · branches · branch b4 · voltage Vnetwork/rows/18/branches/4/voltageV-99/128V
    network · rows · DC state J=9/8 A · branches · branch b4 · current Anetwork/rows/18/branches/4/currentA-33/128A
    network · rows · DC state J=9/8 A · branches · branch b4 · absorbed Power Wnetwork/rows/18/branches/4/absorbedPowerW3267/16384W
    network · rows · DC state J=9/8 A · branches · branch b5 · voltage Vnetwork/rows/18/branches/5/voltageV237/128V
    network · rows · DC state J=9/8 A · branches · branch b5 · current Anetwork/rows/18/branches/5/currentA237/512A
    network · rows · DC state J=9/8 A · branches · branch b5 · absorbed Power Wnetwork/rows/18/branches/5/absorbedPowerW56169/65536W
    network · rows · DC state J=9/8 A · branches · branch b6 · voltage Vnetwork/rows/18/branches/6/voltageV621/128V
    network · rows · DC state J=9/8 A · branches · branch b6 · current Anetwork/rows/18/branches/6/currentA207/512A
    network · rows · DC state J=9/8 A · branches · branch b6 · absorbed Power Wnetwork/rows/18/branches/6/absorbedPowerW128547/65536W
    network · rows · DC state J=9/8 A · branches · branch b7 · voltage Vnetwork/rows/18/branches/7/voltageV-99/128V
    network · rows · DC state J=9/8 A · branches · branch b7 · current Anetwork/rows/18/branches/7/currentA9/8A
    network · rows · DC state J=9/8 A · branches · branch b7 · absorbed Power Wnetwork/rows/18/branches/7/absorbedPowerW-891/1024W
    network · rows · DC state J=9/8 A · kcl Residuals A · entry 0network/rows/18/kclResidualsA/00A
    network · rows · DC state J=9/8 A · kcl Residuals A · entry 1network/rows/18/kclResidualsA/10A
    network · rows · DC state J=9/8 A · kcl Residuals A · entry 2network/rows/18/kclResidualsA/20A
    network · rows · DC state J=9/8 A · kcl Residuals A · entry 3network/rows/18/kclResidualsA/30A
    network · rows · DC state J=9/8 A · kcl Residuals A · entry 4network/rows/18/kclResidualsA/40A
    network · rows · DC state J=9/8 A · cycle Residuals V · entry 0network/rows/18/cycleResidualsV/00V
    network · rows · DC state J=9/8 A · cycle Residuals V · entry 1network/rows/18/cycleResidualsV/10V
    network · rows · DC state J=9/8 A · cycle Residuals V · entry 2network/rows/18/cycleResidualsV/20V
    network · rows · DC state J=9/8 A · cycle Residuals V · entry 3network/rows/18/cycleResidualsV/30V
    network · rows · DC state J=9/8 A · fundamental Cutset Residuals A · entry 0network/rows/18/fundamentalCutsetResidualsA/00A
    network · rows · DC state J=9/8 A · fundamental Cutset Residuals A · entry 1network/rows/18/fundamentalCutsetResidualsA/10A
    network · rows · DC state J=9/8 A · fundamental Cutset Residuals A · entry 2network/rows/18/fundamentalCutsetResidualsA/20A
    network · rows · DC state J=9/8 A · fundamental Cutset Residuals A · entry 3network/rows/18/fundamentalCutsetResidualsA/30A
    network · rows · DC state J=9/8 A · resistor Law Residuals V · entry 0network/rows/18/resistorLawResidualsV/00V
    network · rows · DC state J=9/8 A · resistor Law Residuals V · entry 1network/rows/18/resistorLawResidualsV/10V
    network · rows · DC state J=9/8 A · resistor Law Residuals V · entry 2network/rows/18/resistorLawResidualsV/20V
    network · rows · DC state J=9/8 A · resistor Law Residuals V · entry 3network/rows/18/resistorLawResidualsV/30V
    network · rows · DC state J=9/8 A · resistor Law Residuals V · entry 4network/rows/18/resistorLawResidualsV/40V
    network · rows · DC state J=9/8 A · total Absorbed Power Wnetwork/rows/18/totalAbsorbedPowerW0W
    network · rows · DC state J=19/16 A · current Source Setpoint Anetwork/rows/19/currentSourceSetpointA19/16A
    network · rows · DC state J=19/16 A · node Potentials V · n0network/rows/19/nodePotentialsV/n00V
    network · rows · DC state J=19/16 A · node Potentials V · anetwork/rows/19/nodePotentialsV/a12V
    network · rows · DC state J=19/16 A · node Potentials V · bnetwork/rows/19/nodePotentialsV/b513/128V
    network · rows · DC state J=19/16 A · node Potentials V · cnetwork/rows/19/nodePotentialsV/c1257/256V
    network · rows · DC state J=19/16 A · node Potentials V · dnetwork/rows/19/nodePotentialsV/d3V
    network · rows · DC state J=19/16 A · branches · branch b0 · voltage Vnetwork/rows/19/branches/0/voltageV12V
    network · rows · DC state J=19/16 A · branches · branch b0 · current Anetwork/rows/19/branches/0/currentA-341/256A
    network · rows · DC state J=19/16 A · branches · branch b0 · absorbed Power Wnetwork/rows/19/branches/0/absorbedPowerW-1023/64W
    network · rows · DC state J=19/16 A · branches · branch b1 · voltage Vnetwork/rows/19/branches/1/voltageV3V
    network · rows · DC state J=19/16 A · branches · branch b1 · current Anetwork/rows/19/branches/1/currentA489/1024A
    network · rows · DC state J=19/16 A · branches · branch b1 · absorbed Power Wnetwork/rows/19/branches/1/absorbedPowerW1467/1024W
    network · rows · DC state J=19/16 A · branches · branch b2 · voltage Vnetwork/rows/19/branches/2/voltageV1023/128V
    network · rows · DC state J=19/16 A · branches · branch b2 · current Anetwork/rows/19/branches/2/currentA341/256A
    network · rows · DC state J=19/16 A · branches · branch b2 · absorbed Power Wnetwork/rows/19/branches/2/absorbedPowerW348843/32768W
    network · rows · DC state J=19/16 A · branches · branch b3 · voltage Vnetwork/rows/19/branches/3/voltageV513/128V
    network · rows · DC state J=19/16 A · branches · branch b3 · current Anetwork/rows/19/branches/3/currentA57/128A
    network · rows · DC state J=19/16 A · branches · branch b3 · absorbed Power Wnetwork/rows/19/branches/3/absorbedPowerW29241/16384W
    network · rows · DC state J=19/16 A · branches · branch b4 · voltage Vnetwork/rows/19/branches/4/voltageV-231/256V
    network · rows · DC state J=19/16 A · branches · branch b4 · current Anetwork/rows/19/branches/4/currentA-77/256A
    network · rows · DC state J=19/16 A · branches · branch b4 · absorbed Power Wnetwork/rows/19/branches/4/absorbedPowerW17787/65536W
    network · rows · DC state J=19/16 A · branches · branch b5 · voltage Vnetwork/rows/19/branches/5/voltageV489/256V
    network · rows · DC state J=19/16 A · branches · branch b5 · current Anetwork/rows/19/branches/5/currentA489/1024A
    network · rows · DC state J=19/16 A · branches · branch b5 · absorbed Power Wnetwork/rows/19/branches/5/absorbedPowerW239121/262144W
    network · rows · DC state J=19/16 A · branches · branch b6 · voltage Vnetwork/rows/19/branches/6/voltageV1257/256V
    network · rows · DC state J=19/16 A · branches · branch b6 · current Anetwork/rows/19/branches/6/currentA419/1024A
    network · rows · DC state J=19/16 A · branches · branch b6 · absorbed Power Wnetwork/rows/19/branches/6/absorbedPowerW526683/262144W
    network · rows · DC state J=19/16 A · branches · branch b7 · voltage Vnetwork/rows/19/branches/7/voltageV-231/256V
    network · rows · DC state J=19/16 A · branches · branch b7 · current Anetwork/rows/19/branches/7/currentA19/16A
    network · rows · DC state J=19/16 A · branches · branch b7 · absorbed Power Wnetwork/rows/19/branches/7/absorbedPowerW-4389/4096W
    network · rows · DC state J=19/16 A · kcl Residuals A · entry 0network/rows/19/kclResidualsA/00A
    network · rows · DC state J=19/16 A · kcl Residuals A · entry 1network/rows/19/kclResidualsA/10A
    network · rows · DC state J=19/16 A · kcl Residuals A · entry 2network/rows/19/kclResidualsA/20A
    network · rows · DC state J=19/16 A · kcl Residuals A · entry 3network/rows/19/kclResidualsA/30A
    network · rows · DC state J=19/16 A · kcl Residuals A · entry 4network/rows/19/kclResidualsA/40A
    network · rows · DC state J=19/16 A · cycle Residuals V · entry 0network/rows/19/cycleResidualsV/00V
    network · rows · DC state J=19/16 A · cycle Residuals V · entry 1network/rows/19/cycleResidualsV/10V
    network · rows · DC state J=19/16 A · cycle Residuals V · entry 2network/rows/19/cycleResidualsV/20V
    network · rows · DC state J=19/16 A · cycle Residuals V · entry 3network/rows/19/cycleResidualsV/30V
    network · rows · DC state J=19/16 A · fundamental Cutset Residuals A · entry 0network/rows/19/fundamentalCutsetResidualsA/00A
    network · rows · DC state J=19/16 A · fundamental Cutset Residuals A · entry 1network/rows/19/fundamentalCutsetResidualsA/10A
    network · rows · DC state J=19/16 A · fundamental Cutset Residuals A · entry 2network/rows/19/fundamentalCutsetResidualsA/20A
    network · rows · DC state J=19/16 A · fundamental Cutset Residuals A · entry 3network/rows/19/fundamentalCutsetResidualsA/30A
    network · rows · DC state J=19/16 A · resistor Law Residuals V · entry 0network/rows/19/resistorLawResidualsV/00V
    network · rows · DC state J=19/16 A · resistor Law Residuals V · entry 1network/rows/19/resistorLawResidualsV/10V
    network · rows · DC state J=19/16 A · resistor Law Residuals V · entry 2network/rows/19/resistorLawResidualsV/20V
    network · rows · DC state J=19/16 A · resistor Law Residuals V · entry 3network/rows/19/resistorLawResidualsV/30V
    network · rows · DC state J=19/16 A · resistor Law Residuals V · entry 4network/rows/19/resistorLawResidualsV/40V
    network · rows · DC state J=19/16 A · total Absorbed Power Wnetwork/rows/19/totalAbsorbedPowerW0W
    network · rows · DC state J=5/4 A · current Source Setpoint Anetwork/rows/20/currentSourceSetpointA5/4A
    network · rows · DC state J=5/4 A · node Potentials V · n0network/rows/20/nodePotentialsV/n00V
    network · rows · DC state J=5/4 A · node Potentials V · anetwork/rows/20/nodePotentialsV/a12V
    network · rows · DC state J=5/4 A · node Potentials V · bnetwork/rows/20/nodePotentialsV/b63/16V
    network · rows · DC state J=5/4 A · node Potentials V · cnetwork/rows/20/nodePotentialsV/c159/32V
    network · rows · DC state J=5/4 A · node Potentials V · dnetwork/rows/20/nodePotentialsV/d3V
    network · rows · DC state J=5/4 A · branches · branch b0 · voltage Vnetwork/rows/20/branches/0/voltageV12V
    network · rows · DC state J=5/4 A · branches · branch b0 · current Anetwork/rows/20/branches/0/currentA-43/32A
    network · rows · DC state J=5/4 A · branches · branch b0 · absorbed Power Wnetwork/rows/20/branches/0/absorbedPowerW-129/8W
    network · rows · DC state J=5/4 A · branches · branch b1 · voltage Vnetwork/rows/20/branches/1/voltageV3V
    network · rows · DC state J=5/4 A · branches · branch b1 · current Anetwork/rows/20/branches/1/currentA63/128A
    network · rows · DC state J=5/4 A · branches · branch b1 · absorbed Power Wnetwork/rows/20/branches/1/absorbedPowerW189/128W
    network · rows · DC state J=5/4 A · branches · branch b2 · voltage Vnetwork/rows/20/branches/2/voltageV129/16V
    network · rows · DC state J=5/4 A · branches · branch b2 · current Anetwork/rows/20/branches/2/currentA43/32A
    network · rows · DC state J=5/4 A · branches · branch b2 · absorbed Power Wnetwork/rows/20/branches/2/absorbedPowerW5547/512W
    network · rows · DC state J=5/4 A · branches · branch b3 · voltage Vnetwork/rows/20/branches/3/voltageV63/16V
    network · rows · DC state J=5/4 A · branches · branch b3 · current Anetwork/rows/20/branches/3/currentA7/16A
    network · rows · DC state J=5/4 A · branches · branch b3 · absorbed Power Wnetwork/rows/20/branches/3/absorbedPowerW441/256W
    network · rows · DC state J=5/4 A · branches · branch b4 · voltage Vnetwork/rows/20/branches/4/voltageV-33/32V
    network · rows · DC state J=5/4 A · branches · branch b4 · current Anetwork/rows/20/branches/4/currentA-11/32A
    network · rows · DC state J=5/4 A · branches · branch b4 · absorbed Power Wnetwork/rows/20/branches/4/absorbedPowerW363/1024W
    network · rows · DC state J=5/4 A · branches · branch b5 · voltage Vnetwork/rows/20/branches/5/voltageV63/32V
    network · rows · DC state J=5/4 A · branches · branch b5 · current Anetwork/rows/20/branches/5/currentA63/128A
    network · rows · DC state J=5/4 A · branches · branch b5 · absorbed Power Wnetwork/rows/20/branches/5/absorbedPowerW3969/4096W
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    network · rows · DC state J=5/4 A · branches · branch b7 · voltage Vnetwork/rows/20/branches/7/voltageV-33/32V
    network · rows · DC state J=5/4 A · branches · branch b7 · current Anetwork/rows/20/branches/7/currentA5/4A
    network · rows · DC state J=5/4 A · branches · branch b7 · absorbed Power Wnetwork/rows/20/branches/7/absorbedPowerW-165/128W
    network · rows · DC state J=5/4 A · kcl Residuals A · entry 0network/rows/20/kclResidualsA/00A
    network · rows · DC state J=5/4 A · kcl Residuals A · entry 1network/rows/20/kclResidualsA/10A
    network · rows · DC state J=5/4 A · kcl Residuals A · entry 2network/rows/20/kclResidualsA/20A
    network · rows · DC state J=5/4 A · kcl Residuals A · entry 3network/rows/20/kclResidualsA/30A
    network · rows · DC state J=5/4 A · kcl Residuals A · entry 4network/rows/20/kclResidualsA/40A
    network · rows · DC state J=5/4 A · cycle Residuals V · entry 0network/rows/20/cycleResidualsV/00V
    network · rows · DC state J=5/4 A · cycle Residuals V · entry 1network/rows/20/cycleResidualsV/10V
    network · rows · DC state J=5/4 A · cycle Residuals V · entry 2network/rows/20/cycleResidualsV/20V
    network · rows · DC state J=5/4 A · cycle Residuals V · entry 3network/rows/20/cycleResidualsV/30V
    network · rows · DC state J=5/4 A · fundamental Cutset Residuals A · entry 0network/rows/20/fundamentalCutsetResidualsA/00A
    network · rows · DC state J=5/4 A · fundamental Cutset Residuals A · entry 1network/rows/20/fundamentalCutsetResidualsA/10A
    network · rows · DC state J=5/4 A · fundamental Cutset Residuals A · entry 2network/rows/20/fundamentalCutsetResidualsA/20A
    network · rows · DC state J=5/4 A · fundamental Cutset Residuals A · entry 3network/rows/20/fundamentalCutsetResidualsA/30A
    network · rows · DC state J=5/4 A · resistor Law Residuals V · entry 0network/rows/20/resistorLawResidualsV/00V
    network · rows · DC state J=5/4 A · resistor Law Residuals V · entry 1network/rows/20/resistorLawResidualsV/10V
    network · rows · DC state J=5/4 A · resistor Law Residuals V · entry 2network/rows/20/resistorLawResidualsV/20V
    network · rows · DC state J=5/4 A · resistor Law Residuals V · entry 3network/rows/20/resistorLawResidualsV/30V
    network · rows · DC state J=5/4 A · resistor Law Residuals V · entry 4network/rows/20/resistorLawResidualsV/40V
    network · rows · DC state J=5/4 A · total Absorbed Power Wnetwork/rows/20/totalAbsorbedPowerW0W
    network · rows · DC state J=21/16 A · current Source Setpoint Anetwork/rows/21/currentSourceSetpointA21/16A
    network · rows · DC state J=21/16 A · node Potentials V · n0network/rows/21/nodePotentialsV/n00V
    network · rows · DC state J=21/16 A · node Potentials V · anetwork/rows/21/nodePotentialsV/a12V
    network · rows · DC state J=21/16 A · node Potentials V · bnetwork/rows/21/nodePotentialsV/b495/128V
    network · rows · DC state J=21/16 A · node Potentials V · cnetwork/rows/21/nodePotentialsV/c1287/256V
    network · rows · DC state J=21/16 A · node Potentials V · dnetwork/rows/21/nodePotentialsV/d3V
    network · rows · DC state J=21/16 A · branches · branch b0 · voltage Vnetwork/rows/21/branches/0/voltageV12V
    network · rows · DC state J=21/16 A · branches · branch b0 · current Anetwork/rows/21/branches/0/currentA-347/256A
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    network · rows · DC state J=21/16 A · branches · branch b1 · voltage Vnetwork/rows/21/branches/1/voltageV3V
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    network · rows · DC state J=21/16 A · branches · branch b4 · voltage Vnetwork/rows/21/branches/4/voltageV-297/256V
    network · rows · DC state J=21/16 A · branches · branch b4 · current Anetwork/rows/21/branches/4/currentA-99/256A
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    network · rows · DC state J=21/16 A · branches · branch b7 · voltage Vnetwork/rows/21/branches/7/voltageV-297/256V
    network · rows · DC state J=21/16 A · branches · branch b7 · current Anetwork/rows/21/branches/7/currentA21/16A
    network · rows · DC state J=21/16 A · branches · branch b7 · absorbed Power Wnetwork/rows/21/branches/7/absorbedPowerW-6237/4096W
    network · rows · DC state J=21/16 A · kcl Residuals A · entry 0network/rows/21/kclResidualsA/00A
    network · rows · DC state J=21/16 A · kcl Residuals A · entry 1network/rows/21/kclResidualsA/10A
    network · rows · DC state J=21/16 A · kcl Residuals A · entry 2network/rows/21/kclResidualsA/20A
    network · rows · DC state J=21/16 A · kcl Residuals A · entry 3network/rows/21/kclResidualsA/30A
    network · rows · DC state J=21/16 A · kcl Residuals A · entry 4network/rows/21/kclResidualsA/40A
    network · rows · DC state J=21/16 A · cycle Residuals V · entry 0network/rows/21/cycleResidualsV/00V
    network · rows · DC state J=21/16 A · cycle Residuals V · entry 1network/rows/21/cycleResidualsV/10V
    network · rows · DC state J=21/16 A · cycle Residuals V · entry 2network/rows/21/cycleResidualsV/20V
    network · rows · DC state J=21/16 A · cycle Residuals V · entry 3network/rows/21/cycleResidualsV/30V
    network · rows · DC state J=21/16 A · fundamental Cutset Residuals A · entry 0network/rows/21/fundamentalCutsetResidualsA/00A
    network · rows · DC state J=21/16 A · fundamental Cutset Residuals A · entry 1network/rows/21/fundamentalCutsetResidualsA/10A
    network · rows · DC state J=21/16 A · fundamental Cutset Residuals A · entry 2network/rows/21/fundamentalCutsetResidualsA/20A
    network · rows · DC state J=21/16 A · fundamental Cutset Residuals A · entry 3network/rows/21/fundamentalCutsetResidualsA/30A
    network · rows · DC state J=21/16 A · resistor Law Residuals V · entry 0network/rows/21/resistorLawResidualsV/00V
    network · rows · DC state J=21/16 A · resistor Law Residuals V · entry 1network/rows/21/resistorLawResidualsV/10V
    network · rows · DC state J=21/16 A · resistor Law Residuals V · entry 2network/rows/21/resistorLawResidualsV/20V
    network · rows · DC state J=21/16 A · resistor Law Residuals V · entry 3network/rows/21/resistorLawResidualsV/30V
    network · rows · DC state J=21/16 A · resistor Law Residuals V · entry 4network/rows/21/resistorLawResidualsV/40V
    network · rows · DC state J=21/16 A · total Absorbed Power Wnetwork/rows/21/totalAbsorbedPowerW0W
    network · rows · DC state J=11/8 A · current Source Setpoint Anetwork/rows/22/currentSourceSetpointA11/8A
    network · rows · DC state J=11/8 A · node Potentials V · n0network/rows/22/nodePotentialsV/n00V
    network · rows · DC state J=11/8 A · node Potentials V · anetwork/rows/22/nodePotentialsV/a12V
    network · rows · DC state J=11/8 A · node Potentials V · bnetwork/rows/22/nodePotentialsV/b243/64V
    network · rows · DC state J=11/8 A · node Potentials V · cnetwork/rows/22/nodePotentialsV/c651/128V
    network · rows · DC state J=11/8 A · node Potentials V · dnetwork/rows/22/nodePotentialsV/d3V
    network · rows · DC state J=11/8 A · branches · branch b0 · voltage Vnetwork/rows/22/branches/0/voltageV12V
    network · rows · DC state J=11/8 A · branches · branch b0 · current Anetwork/rows/22/branches/0/currentA-175/128A
    network · rows · DC state J=11/8 A · branches · branch b0 · absorbed Power Wnetwork/rows/22/branches/0/absorbedPowerW-525/32W
    network · rows · DC state J=11/8 A · branches · branch b1 · voltage Vnetwork/rows/22/branches/1/voltageV3V
    network · rows · DC state J=11/8 A · branches · branch b1 · current Anetwork/rows/22/branches/1/currentA267/512A
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    network · rows · DC state J=11/8 A · branches · branch b2 · current Anetwork/rows/22/branches/2/currentA175/128A
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    network · rows · DC state J=11/8 A · branches · branch b4 · voltage Vnetwork/rows/22/branches/4/voltageV-165/128V
    network · rows · DC state J=11/8 A · branches · branch b4 · current Anetwork/rows/22/branches/4/currentA-55/128A
    network · rows · DC state J=11/8 A · branches · branch b4 · absorbed Power Wnetwork/rows/22/branches/4/absorbedPowerW9075/16384W
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    network · rows · DC state J=11/8 A · branches · branch b5 · current Anetwork/rows/22/branches/5/currentA267/512A
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    network · rows · DC state J=11/8 A · branches · branch b7 · voltage Vnetwork/rows/22/branches/7/voltageV-165/128V
    network · rows · DC state J=11/8 A · branches · branch b7 · current Anetwork/rows/22/branches/7/currentA11/8A
    network · rows · DC state J=11/8 A · branches · branch b7 · absorbed Power Wnetwork/rows/22/branches/7/absorbedPowerW-1815/1024W
    network · rows · DC state J=11/8 A · kcl Residuals A · entry 0network/rows/22/kclResidualsA/00A
    network · rows · DC state J=11/8 A · kcl Residuals A · entry 1network/rows/22/kclResidualsA/10A
    network · rows · DC state J=11/8 A · kcl Residuals A · entry 2network/rows/22/kclResidualsA/20A
    network · rows · DC state J=11/8 A · kcl Residuals A · entry 3network/rows/22/kclResidualsA/30A
    network · rows · DC state J=11/8 A · kcl Residuals A · entry 4network/rows/22/kclResidualsA/40A
    network · rows · DC state J=11/8 A · cycle Residuals V · entry 0network/rows/22/cycleResidualsV/00V
    network · rows · DC state J=11/8 A · cycle Residuals V · entry 1network/rows/22/cycleResidualsV/10V
    network · rows · DC state J=11/8 A · cycle Residuals V · entry 2network/rows/22/cycleResidualsV/20V
    network · rows · DC state J=11/8 A · cycle Residuals V · entry 3network/rows/22/cycleResidualsV/30V
    network · rows · DC state J=11/8 A · fundamental Cutset Residuals A · entry 0network/rows/22/fundamentalCutsetResidualsA/00A
    network · rows · DC state J=11/8 A · fundamental Cutset Residuals A · entry 1network/rows/22/fundamentalCutsetResidualsA/10A
    network · rows · DC state J=11/8 A · fundamental Cutset Residuals A · entry 2network/rows/22/fundamentalCutsetResidualsA/20A
    network · rows · DC state J=11/8 A · fundamental Cutset Residuals A · entry 3network/rows/22/fundamentalCutsetResidualsA/30A
    network · rows · DC state J=11/8 A · resistor Law Residuals V · entry 0network/rows/22/resistorLawResidualsV/00V
    network · rows · DC state J=11/8 A · resistor Law Residuals V · entry 1network/rows/22/resistorLawResidualsV/10V
    network · rows · DC state J=11/8 A · resistor Law Residuals V · entry 2network/rows/22/resistorLawResidualsV/20V
    network · rows · DC state J=11/8 A · resistor Law Residuals V · entry 3network/rows/22/resistorLawResidualsV/30V
    network · rows · DC state J=11/8 A · resistor Law Residuals V · entry 4network/rows/22/resistorLawResidualsV/40V
    network · rows · DC state J=11/8 A · total Absorbed Power Wnetwork/rows/22/totalAbsorbedPowerW0W
    network · rows · DC state J=23/16 A · current Source Setpoint Anetwork/rows/23/currentSourceSetpointA23/16A
    network · rows · DC state J=23/16 A · node Potentials V · n0network/rows/23/nodePotentialsV/n00V
    network · rows · DC state J=23/16 A · node Potentials V · anetwork/rows/23/nodePotentialsV/a12V
    network · rows · DC state J=23/16 A · node Potentials V · bnetwork/rows/23/nodePotentialsV/b477/128V
    network · rows · DC state J=23/16 A · node Potentials V · cnetwork/rows/23/nodePotentialsV/c1317/256V
    network · rows · DC state J=23/16 A · node Potentials V · dnetwork/rows/23/nodePotentialsV/d3V
    network · rows · DC state J=23/16 A · branches · branch b0 · voltage Vnetwork/rows/23/branches/0/voltageV12V
    network · rows · DC state J=23/16 A · branches · branch b0 · current Anetwork/rows/23/branches/0/currentA-353/256A
    network · rows · DC state J=23/16 A · branches · branch b0 · absorbed Power Wnetwork/rows/23/branches/0/absorbedPowerW-1059/64W
    network · rows · DC state J=23/16 A · branches · branch b1 · voltage Vnetwork/rows/23/branches/1/voltageV3V
    network · rows · DC state J=23/16 A · branches · branch b1 · current Anetwork/rows/23/branches/1/currentA549/1024A
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    network · rows · DC state J=23/16 A · branches · branch b4 · voltage Vnetwork/rows/23/branches/4/voltageV-363/256V
    network · rows · DC state J=23/16 A · branches · branch b4 · current Anetwork/rows/23/branches/4/currentA-121/256A
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    network · rows · DC state J=23/16 A · branches · branch b7 · voltage Vnetwork/rows/23/branches/7/voltageV-363/256V
    network · rows · DC state J=23/16 A · branches · branch b7 · current Anetwork/rows/23/branches/7/currentA23/16A
    network · rows · DC state J=23/16 A · branches · branch b7 · absorbed Power Wnetwork/rows/23/branches/7/absorbedPowerW-8349/4096W
    network · rows · DC state J=23/16 A · kcl Residuals A · entry 0network/rows/23/kclResidualsA/00A
    network · rows · DC state J=23/16 A · kcl Residuals A · entry 1network/rows/23/kclResidualsA/10A
    network · rows · DC state J=23/16 A · kcl Residuals A · entry 2network/rows/23/kclResidualsA/20A
    network · rows · DC state J=23/16 A · kcl Residuals A · entry 3network/rows/23/kclResidualsA/30A
    network · rows · DC state J=23/16 A · kcl Residuals A · entry 4network/rows/23/kclResidualsA/40A
    network · rows · DC state J=23/16 A · cycle Residuals V · entry 0network/rows/23/cycleResidualsV/00V
    network · rows · DC state J=23/16 A · cycle Residuals V · entry 1network/rows/23/cycleResidualsV/10V
    network · rows · DC state J=23/16 A · cycle Residuals V · entry 2network/rows/23/cycleResidualsV/20V
    network · rows · DC state J=23/16 A · cycle Residuals V · entry 3network/rows/23/cycleResidualsV/30V
    network · rows · DC state J=23/16 A · fundamental Cutset Residuals A · entry 0network/rows/23/fundamentalCutsetResidualsA/00A
    network · rows · DC state J=23/16 A · fundamental Cutset Residuals A · entry 1network/rows/23/fundamentalCutsetResidualsA/10A
    network · rows · DC state J=23/16 A · fundamental Cutset Residuals A · entry 2network/rows/23/fundamentalCutsetResidualsA/20A
    network · rows · DC state J=23/16 A · fundamental Cutset Residuals A · entry 3network/rows/23/fundamentalCutsetResidualsA/30A
    network · rows · DC state J=23/16 A · resistor Law Residuals V · entry 0network/rows/23/resistorLawResidualsV/00V
    network · rows · DC state J=23/16 A · resistor Law Residuals V · entry 1network/rows/23/resistorLawResidualsV/10V
    network · rows · DC state J=23/16 A · resistor Law Residuals V · entry 2network/rows/23/resistorLawResidualsV/20V
    network · rows · DC state J=23/16 A · resistor Law Residuals V · entry 3network/rows/23/resistorLawResidualsV/30V
    network · rows · DC state J=23/16 A · resistor Law Residuals V · entry 4network/rows/23/resistorLawResidualsV/40V
    network · rows · DC state J=23/16 A · total Absorbed Power Wnetwork/rows/23/totalAbsorbedPowerW0W
    network · rows · DC state J=3/2 A · current Source Setpoint Anetwork/rows/24/currentSourceSetpointA3/2A
    network · rows · DC state J=3/2 A · node Potentials V · n0network/rows/24/nodePotentialsV/n00V
    network · rows · DC state J=3/2 A · node Potentials V · anetwork/rows/24/nodePotentialsV/a12V
    network · rows · DC state J=3/2 A · node Potentials V · bnetwork/rows/24/nodePotentialsV/b117/32V
    network · rows · DC state J=3/2 A · node Potentials V · cnetwork/rows/24/nodePotentialsV/c333/64V
    network · rows · DC state J=3/2 A · node Potentials V · dnetwork/rows/24/nodePotentialsV/d3V
    network · rows · DC state J=3/2 A · branches · branch b0 · voltage Vnetwork/rows/24/branches/0/voltageV12V
    network · rows · DC state J=3/2 A · branches · branch b0 · current Anetwork/rows/24/branches/0/currentA-89/64A
    network · rows · DC state J=3/2 A · branches · branch b0 · absorbed Power Wnetwork/rows/24/branches/0/absorbedPowerW-267/16W
    network · rows · DC state J=3/2 A · branches · branch b1 · voltage Vnetwork/rows/24/branches/1/voltageV3V
    network · rows · DC state J=3/2 A · branches · branch b1 · current Anetwork/rows/24/branches/1/currentA141/256A
    network · rows · DC state J=3/2 A · branches · branch b1 · absorbed Power Wnetwork/rows/24/branches/1/absorbedPowerW423/256W
    network · rows · DC state J=3/2 A · branches · branch b2 · voltage Vnetwork/rows/24/branches/2/voltageV267/32V
    network · rows · DC state J=3/2 A · branches · branch b2 · current Anetwork/rows/24/branches/2/currentA89/64A
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    network · rows · DC state J=3/2 A · branches · branch b3 · voltage Vnetwork/rows/24/branches/3/voltageV117/32V
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    network · rows · DC state J=3/2 A · branches · branch b4 · voltage Vnetwork/rows/24/branches/4/voltageV-99/64V
    network · rows · DC state J=3/2 A · branches · branch b4 · current Anetwork/rows/24/branches/4/currentA-33/64A
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    network · rows · DC state J=3/2 A · branches · branch b5 · voltage Vnetwork/rows/24/branches/5/voltageV141/64V
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    network · rows · DC state J=3/2 A · branches · branch b7 · current Anetwork/rows/24/branches/7/currentA3/2A
    network · rows · DC state J=3/2 A · branches · branch b7 · absorbed Power Wnetwork/rows/24/branches/7/absorbedPowerW-297/128W
    network · rows · DC state J=3/2 A · kcl Residuals A · entry 0network/rows/24/kclResidualsA/00A
    network · rows · DC state J=3/2 A · kcl Residuals A · entry 1network/rows/24/kclResidualsA/10A
    network · rows · DC state J=3/2 A · kcl Residuals A · entry 2network/rows/24/kclResidualsA/20A
    network · rows · DC state J=3/2 A · kcl Residuals A · entry 3network/rows/24/kclResidualsA/30A
    network · rows · DC state J=3/2 A · kcl Residuals A · entry 4network/rows/24/kclResidualsA/40A
    network · rows · DC state J=3/2 A · cycle Residuals V · entry 0network/rows/24/cycleResidualsV/00V
    network · rows · DC state J=3/2 A · cycle Residuals V · entry 1network/rows/24/cycleResidualsV/10V
    network · rows · DC state J=3/2 A · cycle Residuals V · entry 2network/rows/24/cycleResidualsV/20V
    network · rows · DC state J=3/2 A · cycle Residuals V · entry 3network/rows/24/cycleResidualsV/30V
    network · rows · DC state J=3/2 A · fundamental Cutset Residuals A · entry 0network/rows/24/fundamentalCutsetResidualsA/00A
    network · rows · DC state J=3/2 A · fundamental Cutset Residuals A · entry 1network/rows/24/fundamentalCutsetResidualsA/10A
    network · rows · DC state J=3/2 A · fundamental Cutset Residuals A · entry 2network/rows/24/fundamentalCutsetResidualsA/20A
    network · rows · DC state J=3/2 A · fundamental Cutset Residuals A · entry 3network/rows/24/fundamentalCutsetResidualsA/30A
    network · rows · DC state J=3/2 A · resistor Law Residuals V · entry 0network/rows/24/resistorLawResidualsV/00V
    network · rows · DC state J=3/2 A · resistor Law Residuals V · entry 1network/rows/24/resistorLawResidualsV/10V
    network · rows · DC state J=3/2 A · resistor Law Residuals V · entry 2network/rows/24/resistorLawResidualsV/20V
    network · rows · DC state J=3/2 A · resistor Law Residuals V · entry 3network/rows/24/resistorLawResidualsV/30V
    network · rows · DC state J=3/2 A · resistor Law Residuals V · entry 4network/rows/24/resistorLawResidualsV/40V
    network · rows · DC state J=3/2 A · total Absorbed Power Wnetwork/rows/24/totalAbsorbedPowerW0W
    network · rows · DC state J=25/16 A · current Source Setpoint Anetwork/rows/25/currentSourceSetpointA25/16A
    network · rows · DC state J=25/16 A · node Potentials V · n0network/rows/25/nodePotentialsV/n00V
    network · rows · DC state J=25/16 A · node Potentials V · anetwork/rows/25/nodePotentialsV/a12V
    network · rows · DC state J=25/16 A · node Potentials V · bnetwork/rows/25/nodePotentialsV/b459/128V
    network · rows · DC state J=25/16 A · node Potentials V · cnetwork/rows/25/nodePotentialsV/c1347/256V
    network · rows · DC state J=25/16 A · node Potentials V · dnetwork/rows/25/nodePotentialsV/d3V
    network · rows · DC state J=25/16 A · branches · branch b0 · voltage Vnetwork/rows/25/branches/0/voltageV12V
    network · rows · DC state J=25/16 A · branches · branch b0 · current Anetwork/rows/25/branches/0/currentA-359/256A
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    network · rows · DC state J=25/16 A · branches · branch b1 · voltage Vnetwork/rows/25/branches/1/voltageV3V
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    network · rows · DC state J=25/16 A · branches · branch b4 · current Anetwork/rows/25/branches/4/currentA-143/256A
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    network · rows · DC state J=25/16 A · branches · branch b7 · voltage Vnetwork/rows/25/branches/7/voltageV-429/256V
    network · rows · DC state J=25/16 A · branches · branch b7 · current Anetwork/rows/25/branches/7/currentA25/16A
    network · rows · DC state J=25/16 A · branches · branch b7 · absorbed Power Wnetwork/rows/25/branches/7/absorbedPowerW-10725/4096W
    network · rows · DC state J=25/16 A · kcl Residuals A · entry 0network/rows/25/kclResidualsA/00A
    network · rows · DC state J=25/16 A · kcl Residuals A · entry 1network/rows/25/kclResidualsA/10A
    network · rows · DC state J=25/16 A · kcl Residuals A · entry 2network/rows/25/kclResidualsA/20A
    network · rows · DC state J=25/16 A · kcl Residuals A · entry 3network/rows/25/kclResidualsA/30A
    network · rows · DC state J=25/16 A · kcl Residuals A · entry 4network/rows/25/kclResidualsA/40A
    network · rows · DC state J=25/16 A · cycle Residuals V · entry 0network/rows/25/cycleResidualsV/00V
    network · rows · DC state J=25/16 A · cycle Residuals V · entry 1network/rows/25/cycleResidualsV/10V
    network · rows · DC state J=25/16 A · cycle Residuals V · entry 2network/rows/25/cycleResidualsV/20V
    network · rows · DC state J=25/16 A · cycle Residuals V · entry 3network/rows/25/cycleResidualsV/30V
    network · rows · DC state J=25/16 A · fundamental Cutset Residuals A · entry 0network/rows/25/fundamentalCutsetResidualsA/00A
    network · rows · DC state J=25/16 A · fundamental Cutset Residuals A · entry 1network/rows/25/fundamentalCutsetResidualsA/10A
    network · rows · DC state J=25/16 A · fundamental Cutset Residuals A · entry 2network/rows/25/fundamentalCutsetResidualsA/20A
    network · rows · DC state J=25/16 A · fundamental Cutset Residuals A · entry 3network/rows/25/fundamentalCutsetResidualsA/30A
    network · rows · DC state J=25/16 A · resistor Law Residuals V · entry 0network/rows/25/resistorLawResidualsV/00V
    network · rows · DC state J=25/16 A · resistor Law Residuals V · entry 1network/rows/25/resistorLawResidualsV/10V
    network · rows · DC state J=25/16 A · resistor Law Residuals V · entry 2network/rows/25/resistorLawResidualsV/20V
    network · rows · DC state J=25/16 A · resistor Law Residuals V · entry 3network/rows/25/resistorLawResidualsV/30V
    network · rows · DC state J=25/16 A · resistor Law Residuals V · entry 4network/rows/25/resistorLawResidualsV/40V
    network · rows · DC state J=25/16 A · total Absorbed Power Wnetwork/rows/25/totalAbsorbedPowerW0W
    network · rows · DC state J=13/8 A · current Source Setpoint Anetwork/rows/26/currentSourceSetpointA13/8A
    network · rows · DC state J=13/8 A · node Potentials V · n0network/rows/26/nodePotentialsV/n00V
    network · rows · DC state J=13/8 A · node Potentials V · anetwork/rows/26/nodePotentialsV/a12V
    network · rows · DC state J=13/8 A · node Potentials V · bnetwork/rows/26/nodePotentialsV/b225/64V
    network · rows · DC state J=13/8 A · node Potentials V · cnetwork/rows/26/nodePotentialsV/c681/128V
    network · rows · DC state J=13/8 A · node Potentials V · dnetwork/rows/26/nodePotentialsV/d3V
    network · rows · DC state J=13/8 A · branches · branch b0 · voltage Vnetwork/rows/26/branches/0/voltageV12V
    network · rows · DC state J=13/8 A · branches · branch b0 · current Anetwork/rows/26/branches/0/currentA-181/128A
    network · rows · DC state J=13/8 A · branches · branch b0 · absorbed Power Wnetwork/rows/26/branches/0/absorbedPowerW-543/32W
    network · rows · DC state J=13/8 A · branches · branch b1 · voltage Vnetwork/rows/26/branches/1/voltageV3V
    network · rows · DC state J=13/8 A · branches · branch b1 · current Anetwork/rows/26/branches/1/currentA297/512A
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    network · rows · DC state J=13/8 A · branches · branch b4 · current Anetwork/rows/26/branches/4/currentA-77/128A
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    network · rows · DC state J=13/8 A · branches · branch b7 · voltage Vnetwork/rows/26/branches/7/voltageV-231/128V
    network · rows · DC state J=13/8 A · branches · branch b7 · current Anetwork/rows/26/branches/7/currentA13/8A
    network · rows · DC state J=13/8 A · branches · branch b7 · absorbed Power Wnetwork/rows/26/branches/7/absorbedPowerW-3003/1024W
    network · rows · DC state J=13/8 A · kcl Residuals A · entry 0network/rows/26/kclResidualsA/00A
    network · rows · DC state J=13/8 A · kcl Residuals A · entry 1network/rows/26/kclResidualsA/10A
    network · rows · DC state J=13/8 A · kcl Residuals A · entry 2network/rows/26/kclResidualsA/20A
    network · rows · DC state J=13/8 A · kcl Residuals A · entry 3network/rows/26/kclResidualsA/30A
    network · rows · DC state J=13/8 A · kcl Residuals A · entry 4network/rows/26/kclResidualsA/40A
    network · rows · DC state J=13/8 A · cycle Residuals V · entry 0network/rows/26/cycleResidualsV/00V
    network · rows · DC state J=13/8 A · cycle Residuals V · entry 1network/rows/26/cycleResidualsV/10V
    network · rows · DC state J=13/8 A · cycle Residuals V · entry 2network/rows/26/cycleResidualsV/20V
    network · rows · DC state J=13/8 A · cycle Residuals V · entry 3network/rows/26/cycleResidualsV/30V
    network · rows · DC state J=13/8 A · fundamental Cutset Residuals A · entry 0network/rows/26/fundamentalCutsetResidualsA/00A
    network · rows · DC state J=13/8 A · fundamental Cutset Residuals A · entry 1network/rows/26/fundamentalCutsetResidualsA/10A
    network · rows · DC state J=13/8 A · fundamental Cutset Residuals A · entry 2network/rows/26/fundamentalCutsetResidualsA/20A
    network · rows · DC state J=13/8 A · fundamental Cutset Residuals A · entry 3network/rows/26/fundamentalCutsetResidualsA/30A
    network · rows · DC state J=13/8 A · resistor Law Residuals V · entry 0network/rows/26/resistorLawResidualsV/00V
    network · rows · DC state J=13/8 A · resistor Law Residuals V · entry 1network/rows/26/resistorLawResidualsV/10V
    network · rows · DC state J=13/8 A · resistor Law Residuals V · entry 2network/rows/26/resistorLawResidualsV/20V
    network · rows · DC state J=13/8 A · resistor Law Residuals V · entry 3network/rows/26/resistorLawResidualsV/30V
    network · rows · DC state J=13/8 A · resistor Law Residuals V · entry 4network/rows/26/resistorLawResidualsV/40V
    network · rows · DC state J=13/8 A · total Absorbed Power Wnetwork/rows/26/totalAbsorbedPowerW0W
    network · rows · DC state J=27/16 A · current Source Setpoint Anetwork/rows/27/currentSourceSetpointA27/16A
    network · rows · DC state J=27/16 A · node Potentials V · n0network/rows/27/nodePotentialsV/n00V
    network · rows · DC state J=27/16 A · node Potentials V · anetwork/rows/27/nodePotentialsV/a12V
    network · rows · DC state J=27/16 A · node Potentials V · bnetwork/rows/27/nodePotentialsV/b441/128V
    network · rows · DC state J=27/16 A · node Potentials V · cnetwork/rows/27/nodePotentialsV/c1377/256V
    network · rows · DC state J=27/16 A · node Potentials V · dnetwork/rows/27/nodePotentialsV/d3V
    network · rows · DC state J=27/16 A · branches · branch b0 · voltage Vnetwork/rows/27/branches/0/voltageV12V
    network · rows · DC state J=27/16 A · branches · branch b0 · current Anetwork/rows/27/branches/0/currentA-365/256A
    network · rows · DC state J=27/16 A · branches · branch b0 · absorbed Power Wnetwork/rows/27/branches/0/absorbedPowerW-1095/64W
    network · rows · DC state J=27/16 A · branches · branch b1 · voltage Vnetwork/rows/27/branches/1/voltageV3V
    network · rows · DC state J=27/16 A · branches · branch b1 · current Anetwork/rows/27/branches/1/currentA609/1024A
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    network · rows · DC state J=27/16 A · branches · branch b4 · voltage Vnetwork/rows/27/branches/4/voltageV-495/256V
    network · rows · DC state J=27/16 A · branches · branch b4 · current Anetwork/rows/27/branches/4/currentA-165/256A
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    network · rows · DC state J=27/16 A · branches · branch b7 · voltage Vnetwork/rows/27/branches/7/voltageV-495/256V
    network · rows · DC state J=27/16 A · branches · branch b7 · current Anetwork/rows/27/branches/7/currentA27/16A
    network · rows · DC state J=27/16 A · branches · branch b7 · absorbed Power Wnetwork/rows/27/branches/7/absorbedPowerW-13365/4096W
    network · rows · DC state J=27/16 A · kcl Residuals A · entry 0network/rows/27/kclResidualsA/00A
    network · rows · DC state J=27/16 A · kcl Residuals A · entry 1network/rows/27/kclResidualsA/10A
    network · rows · DC state J=27/16 A · kcl Residuals A · entry 2network/rows/27/kclResidualsA/20A
    network · rows · DC state J=27/16 A · kcl Residuals A · entry 3network/rows/27/kclResidualsA/30A
    network · rows · DC state J=27/16 A · kcl Residuals A · entry 4network/rows/27/kclResidualsA/40A
    network · rows · DC state J=27/16 A · cycle Residuals V · entry 0network/rows/27/cycleResidualsV/00V
    network · rows · DC state J=27/16 A · cycle Residuals V · entry 1network/rows/27/cycleResidualsV/10V
    network · rows · DC state J=27/16 A · cycle Residuals V · entry 2network/rows/27/cycleResidualsV/20V
    network · rows · DC state J=27/16 A · cycle Residuals V · entry 3network/rows/27/cycleResidualsV/30V
    network · rows · DC state J=27/16 A · fundamental Cutset Residuals A · entry 0network/rows/27/fundamentalCutsetResidualsA/00A
    network · rows · DC state J=27/16 A · fundamental Cutset Residuals A · entry 1network/rows/27/fundamentalCutsetResidualsA/10A
    network · rows · DC state J=27/16 A · fundamental Cutset Residuals A · entry 2network/rows/27/fundamentalCutsetResidualsA/20A
    network · rows · DC state J=27/16 A · fundamental Cutset Residuals A · entry 3network/rows/27/fundamentalCutsetResidualsA/30A
    network · rows · DC state J=27/16 A · resistor Law Residuals V · entry 0network/rows/27/resistorLawResidualsV/00V
    network · rows · DC state J=27/16 A · resistor Law Residuals V · entry 1network/rows/27/resistorLawResidualsV/10V
    network · rows · DC state J=27/16 A · resistor Law Residuals V · entry 2network/rows/27/resistorLawResidualsV/20V
    network · rows · DC state J=27/16 A · resistor Law Residuals V · entry 3network/rows/27/resistorLawResidualsV/30V
    network · rows · DC state J=27/16 A · resistor Law Residuals V · entry 4network/rows/27/resistorLawResidualsV/40V
    network · rows · DC state J=27/16 A · total Absorbed Power Wnetwork/rows/27/totalAbsorbedPowerW0W
    network · rows · DC state J=7/4 A · current Source Setpoint Anetwork/rows/28/currentSourceSetpointA7/4A
    network · rows · DC state J=7/4 A · node Potentials V · n0network/rows/28/nodePotentialsV/n00V
    network · rows · DC state J=7/4 A · node Potentials V · anetwork/rows/28/nodePotentialsV/a12V
    network · rows · DC state J=7/4 A · node Potentials V · bnetwork/rows/28/nodePotentialsV/b27/8V
    network · rows · DC state J=7/4 A · node Potentials V · cnetwork/rows/28/nodePotentialsV/c87/16V
    network · rows · DC state J=7/4 A · node Potentials V · dnetwork/rows/28/nodePotentialsV/d3V
    network · rows · DC state J=7/4 A · branches · branch b0 · voltage Vnetwork/rows/28/branches/0/voltageV12V
    network · rows · DC state J=7/4 A · branches · branch b0 · current Anetwork/rows/28/branches/0/currentA-23/16A
    network · rows · DC state J=7/4 A · branches · branch b0 · absorbed Power Wnetwork/rows/28/branches/0/absorbedPowerW-69/4W
    network · rows · DC state J=7/4 A · branches · branch b1 · voltage Vnetwork/rows/28/branches/1/voltageV3V
    network · rows · DC state J=7/4 A · branches · branch b1 · current Anetwork/rows/28/branches/1/currentA39/64A
    network · rows · DC state J=7/4 A · branches · branch b1 · absorbed Power Wnetwork/rows/28/branches/1/absorbedPowerW117/64W
    network · rows · DC state J=7/4 A · branches · branch b2 · voltage Vnetwork/rows/28/branches/2/voltageV69/8V
    network · rows · DC state J=7/4 A · branches · branch b2 · current Anetwork/rows/28/branches/2/currentA23/16A
    network · rows · DC state J=7/4 A · branches · branch b2 · absorbed Power Wnetwork/rows/28/branches/2/absorbedPowerW1587/128W
    network · rows · DC state J=7/4 A · branches · branch b3 · voltage Vnetwork/rows/28/branches/3/voltageV27/8V
    network · rows · DC state J=7/4 A · branches · branch b3 · current Anetwork/rows/28/branches/3/currentA3/8A
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    network · rows · DC state J=7/4 A · branches · branch b7 · current Anetwork/rows/28/branches/7/currentA7/4A
    network · rows · DC state J=7/4 A · branches · branch b7 · absorbed Power Wnetwork/rows/28/branches/7/absorbedPowerW-231/64W
    network · rows · DC state J=7/4 A · kcl Residuals A · entry 0network/rows/28/kclResidualsA/00A
    network · rows · DC state J=7/4 A · kcl Residuals A · entry 1network/rows/28/kclResidualsA/10A
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    network · rows · DC state J=7/4 A · kcl Residuals A · entry 3network/rows/28/kclResidualsA/30A
    network · rows · DC state J=7/4 A · kcl Residuals A · entry 4network/rows/28/kclResidualsA/40A
    network · rows · DC state J=7/4 A · cycle Residuals V · entry 0network/rows/28/cycleResidualsV/00V
    network · rows · DC state J=7/4 A · cycle Residuals V · entry 1network/rows/28/cycleResidualsV/10V
    network · rows · DC state J=7/4 A · cycle Residuals V · entry 2network/rows/28/cycleResidualsV/20V
    network · rows · DC state J=7/4 A · cycle Residuals V · entry 3network/rows/28/cycleResidualsV/30V
    network · rows · DC state J=7/4 A · fundamental Cutset Residuals A · entry 0network/rows/28/fundamentalCutsetResidualsA/00A
    network · rows · DC state J=7/4 A · fundamental Cutset Residuals A · entry 1network/rows/28/fundamentalCutsetResidualsA/10A
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    network · rows · DC state J=7/4 A · fundamental Cutset Residuals A · entry 3network/rows/28/fundamentalCutsetResidualsA/30A
    network · rows · DC state J=7/4 A · resistor Law Residuals V · entry 0network/rows/28/resistorLawResidualsV/00V
    network · rows · DC state J=7/4 A · resistor Law Residuals V · entry 1network/rows/28/resistorLawResidualsV/10V
    network · rows · DC state J=7/4 A · resistor Law Residuals V · entry 2network/rows/28/resistorLawResidualsV/20V
    network · rows · DC state J=7/4 A · resistor Law Residuals V · entry 3network/rows/28/resistorLawResidualsV/30V
    network · rows · DC state J=7/4 A · resistor Law Residuals V · entry 4network/rows/28/resistorLawResidualsV/40V
    network · rows · DC state J=7/4 A · total Absorbed Power Wnetwork/rows/28/totalAbsorbedPowerW0W
    network · rows · DC state J=29/16 A · current Source Setpoint Anetwork/rows/29/currentSourceSetpointA29/16A
    network · rows · DC state J=29/16 A · node Potentials V · n0network/rows/29/nodePotentialsV/n00V
    network · rows · DC state J=29/16 A · node Potentials V · anetwork/rows/29/nodePotentialsV/a12V
    network · rows · DC state J=29/16 A · node Potentials V · bnetwork/rows/29/nodePotentialsV/b423/128V
    network · rows · DC state J=29/16 A · node Potentials V · cnetwork/rows/29/nodePotentialsV/c1407/256V
    network · rows · DC state J=29/16 A · node Potentials V · dnetwork/rows/29/nodePotentialsV/d3V
    network · rows · DC state J=29/16 A · branches · branch b0 · voltage Vnetwork/rows/29/branches/0/voltageV12V
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    network · rows · DC state J=29/16 A · branches · branch b7 · absorbed Power Wnetwork/rows/29/branches/7/absorbedPowerW-16269/4096W
    network · rows · DC state J=29/16 A · kcl Residuals A · entry 0network/rows/29/kclResidualsA/00A
    network · rows · DC state J=29/16 A · kcl Residuals A · entry 1network/rows/29/kclResidualsA/10A
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    network · rows · DC state J=29/16 A · kcl Residuals A · entry 3network/rows/29/kclResidualsA/30A
    network · rows · DC state J=29/16 A · kcl Residuals A · entry 4network/rows/29/kclResidualsA/40A
    network · rows · DC state J=29/16 A · cycle Residuals V · entry 0network/rows/29/cycleResidualsV/00V
    network · rows · DC state J=29/16 A · cycle Residuals V · entry 1network/rows/29/cycleResidualsV/10V
    network · rows · DC state J=29/16 A · cycle Residuals V · entry 2network/rows/29/cycleResidualsV/20V
    network · rows · DC state J=29/16 A · cycle Residuals V · entry 3network/rows/29/cycleResidualsV/30V
    network · rows · DC state J=29/16 A · fundamental Cutset Residuals A · entry 0network/rows/29/fundamentalCutsetResidualsA/00A
    network · rows · DC state J=29/16 A · fundamental Cutset Residuals A · entry 1network/rows/29/fundamentalCutsetResidualsA/10A
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    network · rows · DC state J=29/16 A · fundamental Cutset Residuals A · entry 3network/rows/29/fundamentalCutsetResidualsA/30A
    network · rows · DC state J=29/16 A · resistor Law Residuals V · entry 0network/rows/29/resistorLawResidualsV/00V
    network · rows · DC state J=29/16 A · resistor Law Residuals V · entry 1network/rows/29/resistorLawResidualsV/10V
    network · rows · DC state J=29/16 A · resistor Law Residuals V · entry 2network/rows/29/resistorLawResidualsV/20V
    network · rows · DC state J=29/16 A · resistor Law Residuals V · entry 3network/rows/29/resistorLawResidualsV/30V
    network · rows · DC state J=29/16 A · resistor Law Residuals V · entry 4network/rows/29/resistorLawResidualsV/40V
    network · rows · DC state J=29/16 A · total Absorbed Power Wnetwork/rows/29/totalAbsorbedPowerW0W
    network · rows · DC state J=15/8 A · current Source Setpoint Anetwork/rows/30/currentSourceSetpointA15/8A
    network · rows · DC state J=15/8 A · node Potentials V · n0network/rows/30/nodePotentialsV/n00V
    network · rows · DC state J=15/8 A · node Potentials V · anetwork/rows/30/nodePotentialsV/a12V
    network · rows · DC state J=15/8 A · node Potentials V · bnetwork/rows/30/nodePotentialsV/b207/64V
    network · rows · DC state J=15/8 A · node Potentials V · cnetwork/rows/30/nodePotentialsV/c711/128V
    network · rows · DC state J=15/8 A · node Potentials V · dnetwork/rows/30/nodePotentialsV/d3V
    network · rows · DC state J=15/8 A · branches · branch b0 · voltage Vnetwork/rows/30/branches/0/voltageV12V
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    network · rows · DC state J=15/8 A · branches · branch b7 · absorbed Power Wnetwork/rows/30/branches/7/absorbedPowerW-4455/1024W
    network · rows · DC state J=15/8 A · kcl Residuals A · entry 0network/rows/30/kclResidualsA/00A
    network · rows · DC state J=15/8 A · kcl Residuals A · entry 1network/rows/30/kclResidualsA/10A
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    network · rows · DC state J=15/8 A · kcl Residuals A · entry 3network/rows/30/kclResidualsA/30A
    network · rows · DC state J=15/8 A · kcl Residuals A · entry 4network/rows/30/kclResidualsA/40A
    network · rows · DC state J=15/8 A · cycle Residuals V · entry 0network/rows/30/cycleResidualsV/00V
    network · rows · DC state J=15/8 A · cycle Residuals V · entry 1network/rows/30/cycleResidualsV/10V
    network · rows · DC state J=15/8 A · cycle Residuals V · entry 2network/rows/30/cycleResidualsV/20V
    network · rows · DC state J=15/8 A · cycle Residuals V · entry 3network/rows/30/cycleResidualsV/30V
    network · rows · DC state J=15/8 A · fundamental Cutset Residuals A · entry 0network/rows/30/fundamentalCutsetResidualsA/00A
    network · rows · DC state J=15/8 A · fundamental Cutset Residuals A · entry 1network/rows/30/fundamentalCutsetResidualsA/10A
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    network · rows · DC state J=15/8 A · fundamental Cutset Residuals A · entry 3network/rows/30/fundamentalCutsetResidualsA/30A
    network · rows · DC state J=15/8 A · resistor Law Residuals V · entry 0network/rows/30/resistorLawResidualsV/00V
    network · rows · DC state J=15/8 A · resistor Law Residuals V · entry 1network/rows/30/resistorLawResidualsV/10V
    network · rows · DC state J=15/8 A · resistor Law Residuals V · entry 2network/rows/30/resistorLawResidualsV/20V
    network · rows · DC state J=15/8 A · resistor Law Residuals V · entry 3network/rows/30/resistorLawResidualsV/30V
    network · rows · DC state J=15/8 A · resistor Law Residuals V · entry 4network/rows/30/resistorLawResidualsV/40V
    network · rows · DC state J=15/8 A · total Absorbed Power Wnetwork/rows/30/totalAbsorbedPowerW0W
    network · rows · DC state J=31/16 A · current Source Setpoint Anetwork/rows/31/currentSourceSetpointA31/16A
    network · rows · DC state J=31/16 A · node Potentials V · n0network/rows/31/nodePotentialsV/n00V
    network · rows · DC state J=31/16 A · node Potentials V · anetwork/rows/31/nodePotentialsV/a12V
    network · rows · DC state J=31/16 A · node Potentials V · bnetwork/rows/31/nodePotentialsV/b405/128V
    network · rows · DC state J=31/16 A · node Potentials V · cnetwork/rows/31/nodePotentialsV/c1437/256V
    network · rows · DC state J=31/16 A · node Potentials V · dnetwork/rows/31/nodePotentialsV/d3V
    network · rows · DC state J=31/16 A · branches · branch b0 · voltage Vnetwork/rows/31/branches/0/voltageV12V
    network · rows · DC state J=31/16 A · branches · branch b0 · current Anetwork/rows/31/branches/0/currentA-377/256A
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    network · rows · DC state J=31/16 A · branches · branch b1 · voltage Vnetwork/rows/31/branches/1/voltageV3V
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    network · rows · DC state J=31/16 A · branches · branch b7 · current Anetwork/rows/31/branches/7/currentA31/16A
    network · rows · DC state J=31/16 A · branches · branch b7 · absorbed Power Wnetwork/rows/31/branches/7/absorbedPowerW-19437/4096W
    network · rows · DC state J=31/16 A · kcl Residuals A · entry 0network/rows/31/kclResidualsA/00A
    network · rows · DC state J=31/16 A · kcl Residuals A · entry 1network/rows/31/kclResidualsA/10A
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    network · rows · DC state J=31/16 A · kcl Residuals A · entry 3network/rows/31/kclResidualsA/30A
    network · rows · DC state J=31/16 A · kcl Residuals A · entry 4network/rows/31/kclResidualsA/40A
    network · rows · DC state J=31/16 A · cycle Residuals V · entry 0network/rows/31/cycleResidualsV/00V
    network · rows · DC state J=31/16 A · cycle Residuals V · entry 1network/rows/31/cycleResidualsV/10V
    network · rows · DC state J=31/16 A · cycle Residuals V · entry 2network/rows/31/cycleResidualsV/20V
    network · rows · DC state J=31/16 A · cycle Residuals V · entry 3network/rows/31/cycleResidualsV/30V
    network · rows · DC state J=31/16 A · fundamental Cutset Residuals A · entry 0network/rows/31/fundamentalCutsetResidualsA/00A
    network · rows · DC state J=31/16 A · fundamental Cutset Residuals A · entry 1network/rows/31/fundamentalCutsetResidualsA/10A
    network · rows · DC state J=31/16 A · fundamental Cutset Residuals A · entry 2network/rows/31/fundamentalCutsetResidualsA/20A
    network · rows · DC state J=31/16 A · fundamental Cutset Residuals A · entry 3network/rows/31/fundamentalCutsetResidualsA/30A
    network · rows · DC state J=31/16 A · resistor Law Residuals V · entry 0network/rows/31/resistorLawResidualsV/00V
    network · rows · DC state J=31/16 A · resistor Law Residuals V · entry 1network/rows/31/resistorLawResidualsV/10V
    network · rows · DC state J=31/16 A · resistor Law Residuals V · entry 2network/rows/31/resistorLawResidualsV/20V
    network · rows · DC state J=31/16 A · resistor Law Residuals V · entry 3network/rows/31/resistorLawResidualsV/30V
    network · rows · DC state J=31/16 A · resistor Law Residuals V · entry 4network/rows/31/resistorLawResidualsV/40V
    network · rows · DC state J=31/16 A · total Absorbed Power Wnetwork/rows/31/totalAbsorbedPowerW0W
    network · rows · DC state J=2 A · current Source Setpoint Anetwork/rows/32/currentSourceSetpointA2A
    network · rows · DC state J=2 A · node Potentials V · n0network/rows/32/nodePotentialsV/n00V
    network · rows · DC state J=2 A · node Potentials V · anetwork/rows/32/nodePotentialsV/a12V
    network · rows · DC state J=2 A · node Potentials V · bnetwork/rows/32/nodePotentialsV/b99/32V
    network · rows · DC state J=2 A · node Potentials V · cnetwork/rows/32/nodePotentialsV/c363/64V
    network · rows · DC state J=2 A · node Potentials V · dnetwork/rows/32/nodePotentialsV/d3V
    network · rows · DC state J=2 A · branches · branch b0 · voltage Vnetwork/rows/32/branches/0/voltageV12V
    network · rows · DC state J=2 A · branches · branch b0 · current Anetwork/rows/32/branches/0/currentA-95/64A
    network · rows · DC state J=2 A · branches · branch b0 · absorbed Power Wnetwork/rows/32/branches/0/absorbedPowerW-285/16W
    network · rows · DC state J=2 A · branches · branch b1 · voltage Vnetwork/rows/32/branches/1/voltageV3V
    network · rows · DC state J=2 A · branches · branch b1 · current Anetwork/rows/32/branches/1/currentA171/256A
    network · rows · DC state J=2 A · branches · branch b1 · absorbed Power Wnetwork/rows/32/branches/1/absorbedPowerW513/256W
    network · rows · DC state J=2 A · branches · branch b2 · voltage Vnetwork/rows/32/branches/2/voltageV285/32V
    network · rows · DC state J=2 A · branches · branch b2 · current Anetwork/rows/32/branches/2/currentA95/64A
    network · rows · DC state J=2 A · branches · branch b2 · absorbed Power Wnetwork/rows/32/branches/2/absorbedPowerW27075/2048W
    network · rows · DC state J=2 A · branches · branch b3 · voltage Vnetwork/rows/32/branches/3/voltageV99/32V
    network · rows · DC state J=2 A · branches · branch b3 · current Anetwork/rows/32/branches/3/currentA11/32A
    network · rows · DC state J=2 A · branches · branch b3 · absorbed Power Wnetwork/rows/32/branches/3/absorbedPowerW1089/1024W
    network · rows · DC state J=2 A · branches · branch b4 · voltage Vnetwork/rows/32/branches/4/voltageV-165/64V
    network · rows · DC state J=2 A · branches · branch b4 · current Anetwork/rows/32/branches/4/currentA-55/64A
    network · rows · DC state J=2 A · branches · branch b4 · absorbed Power Wnetwork/rows/32/branches/4/absorbedPowerW9075/4096W
    network · rows · DC state J=2 A · branches · branch b5 · voltage Vnetwork/rows/32/branches/5/voltageV171/64V
    network · rows · DC state J=2 A · branches · branch b5 · current Anetwork/rows/32/branches/5/currentA171/256A
    network · rows · DC state J=2 A · branches · branch b5 · absorbed Power Wnetwork/rows/32/branches/5/absorbedPowerW29241/16384W
    network · rows · DC state J=2 A · branches · branch b6 · voltage Vnetwork/rows/32/branches/6/voltageV363/64V
    network · rows · DC state J=2 A · branches · branch b6 · current Anetwork/rows/32/branches/6/currentA121/256A
    network · rows · DC state J=2 A · branches · branch b6 · absorbed Power Wnetwork/rows/32/branches/6/absorbedPowerW43923/16384W
    network · rows · DC state J=2 A · branches · branch b7 · voltage Vnetwork/rows/32/branches/7/voltageV-165/64V
    network · rows · DC state J=2 A · branches · branch b7 · current Anetwork/rows/32/branches/7/currentA2A
    network · rows · DC state J=2 A · branches · branch b7 · absorbed Power Wnetwork/rows/32/branches/7/absorbedPowerW-165/32W
    network · rows · DC state J=2 A · kcl Residuals A · entry 0network/rows/32/kclResidualsA/00A
    network · rows · DC state J=2 A · kcl Residuals A · entry 1network/rows/32/kclResidualsA/10A
    network · rows · DC state J=2 A · kcl Residuals A · entry 2network/rows/32/kclResidualsA/20A
    network · rows · DC state J=2 A · kcl Residuals A · entry 3network/rows/32/kclResidualsA/30A
    network · rows · DC state J=2 A · kcl Residuals A · entry 4network/rows/32/kclResidualsA/40A
    network · rows · DC state J=2 A · cycle Residuals V · entry 0network/rows/32/cycleResidualsV/00V
    network · rows · DC state J=2 A · cycle Residuals V · entry 1network/rows/32/cycleResidualsV/10V
    network · rows · DC state J=2 A · cycle Residuals V · entry 2network/rows/32/cycleResidualsV/20V
    network · rows · DC state J=2 A · cycle Residuals V · entry 3network/rows/32/cycleResidualsV/30V
    network · rows · DC state J=2 A · fundamental Cutset Residuals A · entry 0network/rows/32/fundamentalCutsetResidualsA/00A
    network · rows · DC state J=2 A · fundamental Cutset Residuals A · entry 1network/rows/32/fundamentalCutsetResidualsA/10A
    network · rows · DC state J=2 A · fundamental Cutset Residuals A · entry 2network/rows/32/fundamentalCutsetResidualsA/20A
    network · rows · DC state J=2 A · fundamental Cutset Residuals A · entry 3network/rows/32/fundamentalCutsetResidualsA/30A
    network · rows · DC state J=2 A · resistor Law Residuals V · entry 0network/rows/32/resistorLawResidualsV/00V
    network · rows · DC state J=2 A · resistor Law Residuals V · entry 1network/rows/32/resistorLawResidualsV/10V
    network · rows · DC state J=2 A · resistor Law Residuals V · entry 2network/rows/32/resistorLawResidualsV/20V
    network · rows · DC state J=2 A · resistor Law Residuals V · entry 3network/rows/32/resistorLawResidualsV/30V
    network · rows · DC state J=2 A · resistor Law Residuals V · entry 4network/rows/32/resistorLawResidualsV/40V
    network · rows · DC state J=2 A · total Absorbed Power Wnetwork/rows/32/totalAbsorbedPowerW0W

    Each graph and exact table scrolls within its own labelled region. Focus the region to use horizontal arrow keys. The data tables retain exact rational values; plotted decimals do not add scientific precision.

    Complete exact worked-state voltage, current and absorbed power
    BranchCurrent referencev (V)i (A)p=vi (W)
    b0a → n012-89/64-267/16
    b1d → n03141/256423/256
    b2a → b267/3289/6423763/2048
    b3b → n0117/3213/321521/1024
    b4b → c-99/64-33/643267/4096
    b5c → d141/64141/25619881/16384
    b6c → n0333/64111/25636963/16384
    b7b → c-99/643/2-297/128
    16

    Reconcile every branch power

    The 12 V constraint delivers 267/16 W and the current constraint delivers 297/128 W. Their combined delivery is 2433/128 W. Of that amount, 423/256 W enters the 3 V constraint and 4443/256 W enters the five resistors. The two absorbed totals add to the same 2433/128 W.

    The sum of all eight signed absorbed powers is exactly zero. Resistors convert their input to heat within this ideal DC description; the power entering the 3 V constraint is not classified as resistor heat. Its eventual chemical, thermal or stored-energy fate needs a more detailed source model.

    This is another bookkeeping route for detecting a sign mistake, but it is not proof that every constitutive law or field approximation is correct. Many different erroneous assignments can share a zero total. We also check every node residual, every independent cycle residual and each resistor relation, in exact arithmetic.

    17

    Change references without rewiring

    Reverse only the reference of branch b4, consistently reversing both its current arrow and polarity labels. Its reported voltage becomes +99/64 V and its current +33/64 A, while the physical resistor and its power 3267/4096 W stay the same. The corresponding incidence and cycle-matrix columns must also reverse sign.

    Now choose d rather than n0 as the zero-potential reference. Subtract 3 V from every node potential: e′_n0=−3 V, e′_a=9 V, e′_b=21/32 V, e′_c=141/64 V and e′_d=0. All branch differences and all currents and powers remain unchanged. This is a relabelling of potential, not a new wire connected to d.

    The same freedom applies to a uniform offset within each disconnected component. It does not allow an independent offset at each node of one connected component. Nor does it mean that physically connecting two previously isolated grounds has no effect: that adds a constraint or a conductive path and may change the graph.

    18

    Advanced return: incidence and constraint rank

    Let A be the full node-by-branch incidence matrix, with +1 at a branch tail, −1 at its head and zero elsewhere. The column vectors i and v contain the branch currents and associated voltages in one fixed order. Then Ai=0 expresses KCL, while v=Aᵀe expresses branch drops from node potentials. The entries of A are dimensionless; the two equations retain ampere and volt units respectively.

    For a graph with n nodes and c connected components, rank(A)=n−c. To see the upper bound, add the rows within a component: every branch cancels, giving one row dependence per component. For the lower bound, choose a spanning tree in each component. Delete one reference row per component; the resulting forest incidence submatrix is invertible by successively removing leaves. It has n−c columns.

    Here n=5, c=1 and rank(A)=4. Four independent node equations remain after one reference row is deleted. The graph has m=8 branches, so its independent cycle dimension is m−n+c=4. These counts constrain compatible variables; they do not themselves impose Ohm’s law or guarantee that ideal element constraints have a solution.

    19

    Advanced return: cycle and cut spaces

    Use the tree branches b0,b1,b2,b4 and chords b3,b5,b6,b7. For each chord, follow it in its positive direction and return along the tree. The four signed vectors in the table form rows of C. They satisfy ACᵀ=0 and are independent. Their signed branch-voltage sums are Cv=0 because CAᵀ=0.

    The cycle space is ker(A), consisting of current patterns with no node accumulation. The cut space is the row space of A, equivalently im(Aᵀ). They are orthogonal: if x lies in ker(A), then (Aᵀe)ᵀx=eᵀAx=0. Their dimensions are m−n+c and n−c, which add to m. This is a statement about compatible branch variables, not about the geometric areas of drawn loops.

    Let A_r be the reduced incidence matrix and A_T its columns for the chosen tree, in tree order. Q=A_T⁻¹A_r is a fundamental cutset matrix with identity columns on that tree. Qi=0 is equivalent to reduced KCL and QCᵀ=0. A cut equation can also be obtained by adding node equations over one side of the cut. The complete exact A,C,Q and their zero products are retained in the model.

    Original independent cycle rows, in branch order b0 through b7
    CycleSigned branch vector
    c0[-1, 0, 1, 1, 0, 0, 0, 0]
    c1[-1, 1, 1, 0, 1, 1, 0, 0]
    c2[-1, 0, 1, 0, 1, 0, 1, 0]
    c3[0, 0, 0, 0, -1, 0, 0, 1]
    20

    Prove Tellegen’s identity

    At one instant take any branch-current vector satisfying Ai=0 and any compatible branch-voltage vector v=Aᵀe on the same oriented graph. Their pairing is vᵀi=(Aᵀe)ᵀi=eᵀAi=0. With associated terminal references, each term v_bi_b has watt units. If the variables belong to one physical circuit state, the identity says that its signed port powers sum to zero.

    The proof does not require resistors, linearity, reciprocity or a sinusoidal steady state. Nonlinear and time-dependent element relations may determine the state while the same topological identity holds at each instant. A chosen element boundary may include electrical storage, thermal conversion or mechanical output; these determine what its absorbed port power becomes.

    The assumptions in the proof matter. The current vector must obey the selected no-residual-storage graph KCL, the voltage vector must be in that graph’s cut space, and branch ordering and references must match. Unmodelled node charge, shared changing flux or missing terminals can invalidate those identifications. The algebra remains true for compatible vectors; applying it to an inadequate physical model does not repair that model.

    Graph constraints and two different power pairings

    Read the original signed matrices and compare physical same-state absorbed powers with a clearly separate mixed algebraic pairing.

    Signed graph matrices, actual powers and mixed pairings

    • Actual absorbed powers at J=3/2 A
    • Mixed v(J=1/4)i(J=7/4), NOT actual device powers
    Signed graph matrices, actual powers and mixed pairingsThe original incidence, cycle and cutset matrices precede two separately interpreted sets of terms: physical same-state powers and a mixed algebraic pairing.A: +tail, −headb0b1b2b3b4b5b6b7n0-1-10-100-10a10100000b00-111001c0000-111-1d01000-100C: independent cyclesb0b1b2b3b4b5b6b7C1-10110000C2-11101100C3-10101010C40000-1001Q: tree cut rowsb0b1b2b3b4b5b6b7b010010110b101000-100b2001-10-1-10b400001-1-11rank A=4; cycle dimension=4; ACᵀ=0 and QCᵀ=0 in the source matrices.KCL: Ai=0. Potential compatibility: v=Aᵀe, so Cv=0. Cut currents obey Qi=0.Mixed pairing uses v(J=1/4 A) and i(J=7/4 A); its terms are NOT device powers.b0b1b2b3b4b5b6b7-15-10-50510W dimensions; positive means absorbed only for the actual-state barsBranch category; actual one-state power versus separate mixed algebraic pairingBoth sums are exactly zero. Constitutive laws make only the same-state bars actual port powers.
    • Incidence uses +1 at a branch tail and −1 at its head. The displayed A, C and Q are the source matrices in branch order b0…b7. The graph has rank 4 and four independent cycles.
    • Same-state absorbed powers sum to zero. The separate mixed pairing uses voltages from J=1/4 A and currents from J=7/4 A on the same graph. Its terms have W dimensions but are not simultaneous physical device powers.
    • Reversing b4 references or shifting the node-potential zero preserves physical branch powers. Full original reversal, rereference, cut/cycle residuals and the separate two-component rank control remain in the exact tables.

    Original independent cycle rows, in branch order b0 through b7

    Graph constraints and two different power pairings — complete exact source quantities (374 exact quantities)

    All original states and controls remain here, including matrix, residual, reference-change and mixed-pairing quantities. Each value is the raw exact reduced rational from its labelled source path.

    Graph constraints and two different power pairings — complete exact source quantities
    Source quantity and recordExact rational valueSI units or interpretation
    network · full Incidence · entry 0 · entry 0network/fullIncidence/0/0-11 (dimensionless)
    network · full Incidence · entry 0 · entry 1network/fullIncidence/0/1-11 (dimensionless)
    network · full Incidence · entry 0 · entry 2network/fullIncidence/0/201 (dimensionless)
    network · full Incidence · entry 0 · entry 3network/fullIncidence/0/3-11 (dimensionless)
    network · full Incidence · entry 0 · entry 4network/fullIncidence/0/401 (dimensionless)
    network · full Incidence · entry 0 · entry 5network/fullIncidence/0/501 (dimensionless)
    network · full Incidence · entry 0 · entry 6network/fullIncidence/0/6-11 (dimensionless)
    network · full Incidence · entry 0 · entry 7network/fullIncidence/0/701 (dimensionless)
    network · full Incidence · entry 1 · entry 0network/fullIncidence/1/011 (dimensionless)
    network · full Incidence · entry 1 · entry 1network/fullIncidence/1/101 (dimensionless)
    network · full Incidence · entry 1 · entry 2network/fullIncidence/1/211 (dimensionless)
    network · full Incidence · entry 1 · entry 3network/fullIncidence/1/301 (dimensionless)
    network · full Incidence · entry 1 · entry 4network/fullIncidence/1/401 (dimensionless)
    network · full Incidence · entry 1 · entry 5network/fullIncidence/1/501 (dimensionless)
    network · full Incidence · entry 1 · entry 6network/fullIncidence/1/601 (dimensionless)
    network · full Incidence · entry 1 · entry 7network/fullIncidence/1/701 (dimensionless)
    network · full Incidence · entry 2 · entry 0network/fullIncidence/2/001 (dimensionless)
    network · full Incidence · entry 2 · entry 1network/fullIncidence/2/101 (dimensionless)
    network · full Incidence · entry 2 · entry 2network/fullIncidence/2/2-11 (dimensionless)
    network · full Incidence · entry 2 · entry 3network/fullIncidence/2/311 (dimensionless)
    network · full Incidence · entry 2 · entry 4network/fullIncidence/2/411 (dimensionless)
    network · full Incidence · entry 2 · entry 5network/fullIncidence/2/501 (dimensionless)
    network · full Incidence · entry 2 · entry 6network/fullIncidence/2/601 (dimensionless)
    network · full Incidence · entry 2 · entry 7network/fullIncidence/2/711 (dimensionless)
    network · full Incidence · entry 3 · entry 0network/fullIncidence/3/001 (dimensionless)
    network · full Incidence · entry 3 · entry 1network/fullIncidence/3/101 (dimensionless)
    network · full Incidence · entry 3 · entry 2network/fullIncidence/3/201 (dimensionless)
    network · full Incidence · entry 3 · entry 3network/fullIncidence/3/301 (dimensionless)
    network · full Incidence · entry 3 · entry 4network/fullIncidence/3/4-11 (dimensionless)
    network · full Incidence · entry 3 · entry 5network/fullIncidence/3/511 (dimensionless)
    network · full Incidence · entry 3 · entry 6network/fullIncidence/3/611 (dimensionless)
    network · full Incidence · entry 3 · entry 7network/fullIncidence/3/7-11 (dimensionless)
    network · full Incidence · entry 4 · entry 0network/fullIncidence/4/001 (dimensionless)
    network · full Incidence · entry 4 · entry 1network/fullIncidence/4/111 (dimensionless)
    network · full Incidence · entry 4 · entry 2network/fullIncidence/4/201 (dimensionless)
    network · full Incidence · entry 4 · entry 3network/fullIncidence/4/301 (dimensionless)
    network · full Incidence · entry 4 · entry 4network/fullIncidence/4/401 (dimensionless)
    network · full Incidence · entry 4 · entry 5network/fullIncidence/4/5-11 (dimensionless)
    network · full Incidence · entry 4 · entry 6network/fullIncidence/4/601 (dimensionless)
    network · full Incidence · entry 4 · entry 7network/fullIncidence/4/701 (dimensionless)
    network · reduced Incidence · entry 0 · entry 0network/reducedIncidence/0/011 (dimensionless)
    network · reduced Incidence · entry 0 · entry 1network/reducedIncidence/0/101 (dimensionless)
    network · reduced Incidence · entry 0 · entry 2network/reducedIncidence/0/211 (dimensionless)
    network · reduced Incidence · entry 0 · entry 3network/reducedIncidence/0/301 (dimensionless)
    network · reduced Incidence · entry 0 · entry 4network/reducedIncidence/0/401 (dimensionless)
    network · reduced Incidence · entry 0 · entry 5network/reducedIncidence/0/501 (dimensionless)
    network · reduced Incidence · entry 0 · entry 6network/reducedIncidence/0/601 (dimensionless)
    network · reduced Incidence · entry 0 · entry 7network/reducedIncidence/0/701 (dimensionless)
    network · reduced Incidence · entry 1 · entry 0network/reducedIncidence/1/001 (dimensionless)
    network · reduced Incidence · entry 1 · entry 1network/reducedIncidence/1/101 (dimensionless)
    network · reduced Incidence · entry 1 · entry 2network/reducedIncidence/1/2-11 (dimensionless)
    network · reduced Incidence · entry 1 · entry 3network/reducedIncidence/1/311 (dimensionless)
    network · reduced Incidence · entry 1 · entry 4network/reducedIncidence/1/411 (dimensionless)
    network · reduced Incidence · entry 1 · entry 5network/reducedIncidence/1/501 (dimensionless)
    network · reduced Incidence · entry 1 · entry 6network/reducedIncidence/1/601 (dimensionless)
    network · reduced Incidence · entry 1 · entry 7network/reducedIncidence/1/711 (dimensionless)
    network · reduced Incidence · entry 2 · entry 0network/reducedIncidence/2/001 (dimensionless)
    network · reduced Incidence · entry 2 · entry 1network/reducedIncidence/2/101 (dimensionless)
    network · reduced Incidence · entry 2 · entry 2network/reducedIncidence/2/201 (dimensionless)
    network · reduced Incidence · entry 2 · entry 3network/reducedIncidence/2/301 (dimensionless)
    network · reduced Incidence · entry 2 · entry 4network/reducedIncidence/2/4-11 (dimensionless)
    network · reduced Incidence · entry 2 · entry 5network/reducedIncidence/2/511 (dimensionless)
    network · reduced Incidence · entry 2 · entry 6network/reducedIncidence/2/611 (dimensionless)
    network · reduced Incidence · entry 2 · entry 7network/reducedIncidence/2/7-11 (dimensionless)
    network · reduced Incidence · entry 3 · entry 0network/reducedIncidence/3/001 (dimensionless)
    network · reduced Incidence · entry 3 · entry 1network/reducedIncidence/3/111 (dimensionless)
    network · reduced Incidence · entry 3 · entry 2network/reducedIncidence/3/201 (dimensionless)
    network · reduced Incidence · entry 3 · entry 3network/reducedIncidence/3/301 (dimensionless)
    network · reduced Incidence · entry 3 · entry 4network/reducedIncidence/3/401 (dimensionless)
    network · reduced Incidence · entry 3 · entry 5network/reducedIncidence/3/5-11 (dimensionless)
    network · reduced Incidence · entry 3 · entry 6network/reducedIncidence/3/601 (dimensionless)
    network · reduced Incidence · entry 3 · entry 7network/reducedIncidence/3/701 (dimensionless)
    network · cycle Matrix · entry 0 · entry 0network/cycleMatrix/0/0-11 (dimensionless)
    network · cycle Matrix · entry 0 · entry 1network/cycleMatrix/0/101 (dimensionless)
    network · cycle Matrix · entry 0 · entry 2network/cycleMatrix/0/211 (dimensionless)
    network · cycle Matrix · entry 0 · entry 3network/cycleMatrix/0/311 (dimensionless)
    network · cycle Matrix · entry 0 · entry 4network/cycleMatrix/0/401 (dimensionless)
    network · cycle Matrix · entry 0 · entry 5network/cycleMatrix/0/501 (dimensionless)
    network · cycle Matrix · entry 0 · entry 6network/cycleMatrix/0/601 (dimensionless)
    network · cycle Matrix · entry 0 · entry 7network/cycleMatrix/0/701 (dimensionless)
    network · cycle Matrix · entry 1 · entry 0network/cycleMatrix/1/0-11 (dimensionless)
    network · cycle Matrix · entry 1 · entry 1network/cycleMatrix/1/111 (dimensionless)
    network · cycle Matrix · entry 1 · entry 2network/cycleMatrix/1/211 (dimensionless)
    network · cycle Matrix · entry 1 · entry 3network/cycleMatrix/1/301 (dimensionless)
    network · cycle Matrix · entry 1 · entry 4network/cycleMatrix/1/411 (dimensionless)
    network · cycle Matrix · entry 1 · entry 5network/cycleMatrix/1/511 (dimensionless)
    network · cycle Matrix · entry 1 · entry 6network/cycleMatrix/1/601 (dimensionless)
    network · cycle Matrix · entry 1 · entry 7network/cycleMatrix/1/701 (dimensionless)
    network · cycle Matrix · entry 2 · entry 0network/cycleMatrix/2/0-11 (dimensionless)
    network · cycle Matrix · entry 2 · entry 1network/cycleMatrix/2/101 (dimensionless)
    network · cycle Matrix · entry 2 · entry 2network/cycleMatrix/2/211 (dimensionless)
    network · cycle Matrix · entry 2 · entry 3network/cycleMatrix/2/301 (dimensionless)
    network · cycle Matrix · entry 2 · entry 4network/cycleMatrix/2/411 (dimensionless)
    network · cycle Matrix · entry 2 · entry 5network/cycleMatrix/2/501 (dimensionless)
    network · cycle Matrix · entry 2 · entry 6network/cycleMatrix/2/611 (dimensionless)
    network · cycle Matrix · entry 2 · entry 7network/cycleMatrix/2/701 (dimensionless)
    network · cycle Matrix · entry 3 · entry 0network/cycleMatrix/3/001 (dimensionless)
    network · cycle Matrix · entry 3 · entry 1network/cycleMatrix/3/101 (dimensionless)
    network · cycle Matrix · entry 3 · entry 2network/cycleMatrix/3/201 (dimensionless)
    network · cycle Matrix · entry 3 · entry 3network/cycleMatrix/3/301 (dimensionless)
    network · cycle Matrix · entry 3 · entry 4network/cycleMatrix/3/4-11 (dimensionless)
    network · cycle Matrix · entry 3 · entry 5network/cycleMatrix/3/501 (dimensionless)
    network · cycle Matrix · entry 3 · entry 6network/cycleMatrix/3/601 (dimensionless)
    network · cycle Matrix · entry 3 · entry 7network/cycleMatrix/3/711 (dimensionless)
    network · fundamental Cutset · entry 0 · entry 0network/fundamentalCutset/0/011 (dimensionless)
    network · fundamental Cutset · entry 0 · entry 1network/fundamentalCutset/0/101 (dimensionless)
    network · fundamental Cutset · entry 0 · entry 2network/fundamentalCutset/0/201 (dimensionless)
    network · fundamental Cutset · entry 0 · entry 3network/fundamentalCutset/0/311 (dimensionless)
    network · fundamental Cutset · entry 0 · entry 4network/fundamentalCutset/0/401 (dimensionless)
    network · fundamental Cutset · entry 0 · entry 5network/fundamentalCutset/0/511 (dimensionless)
    network · fundamental Cutset · entry 0 · entry 6network/fundamentalCutset/0/611 (dimensionless)
    network · fundamental Cutset · entry 0 · entry 7network/fundamentalCutset/0/701 (dimensionless)
    network · fundamental Cutset · entry 1 · entry 0network/fundamentalCutset/1/001 (dimensionless)
    network · fundamental Cutset · entry 1 · entry 1network/fundamentalCutset/1/111 (dimensionless)
    network · fundamental Cutset · entry 1 · entry 2network/fundamentalCutset/1/201 (dimensionless)
    network · fundamental Cutset · entry 1 · entry 3network/fundamentalCutset/1/301 (dimensionless)
    network · fundamental Cutset · entry 1 · entry 4network/fundamentalCutset/1/401 (dimensionless)
    network · fundamental Cutset · entry 1 · entry 5network/fundamentalCutset/1/5-11 (dimensionless)
    network · fundamental Cutset · entry 1 · entry 6network/fundamentalCutset/1/601 (dimensionless)
    network · fundamental Cutset · entry 1 · entry 7network/fundamentalCutset/1/701 (dimensionless)
    network · fundamental Cutset · entry 2 · entry 0network/fundamentalCutset/2/001 (dimensionless)
    network · fundamental Cutset · entry 2 · entry 1network/fundamentalCutset/2/101 (dimensionless)
    network · fundamental Cutset · entry 2 · entry 2network/fundamentalCutset/2/211 (dimensionless)
    network · fundamental Cutset · entry 2 · entry 3network/fundamentalCutset/2/3-11 (dimensionless)
    network · fundamental Cutset · entry 2 · entry 4network/fundamentalCutset/2/401 (dimensionless)
    network · fundamental Cutset · entry 2 · entry 5network/fundamentalCutset/2/5-11 (dimensionless)
    network · fundamental Cutset · entry 2 · entry 6network/fundamentalCutset/2/6-11 (dimensionless)
    network · fundamental Cutset · entry 2 · entry 7network/fundamentalCutset/2/701 (dimensionless)
    network · fundamental Cutset · entry 3 · entry 0network/fundamentalCutset/3/001 (dimensionless)
    network · fundamental Cutset · entry 3 · entry 1network/fundamentalCutset/3/101 (dimensionless)
    network · fundamental Cutset · entry 3 · entry 2network/fundamentalCutset/3/201 (dimensionless)
    network · fundamental Cutset · entry 3 · entry 3network/fundamentalCutset/3/301 (dimensionless)
    network · fundamental Cutset · entry 3 · entry 4network/fundamentalCutset/3/411 (dimensionless)
    network · fundamental Cutset · entry 3 · entry 5network/fundamentalCutset/3/5-11 (dimensionless)
    network · fundamental Cutset · entry 3 · entry 6network/fundamentalCutset/3/6-11 (dimensionless)
    network · fundamental Cutset · entry 3 · entry 7network/fundamentalCutset/3/711 (dimensionless)
    network · topology · nodesnetwork/topology/nodes51 (dimensionless)
    network · topology · branchesnetwork/topology/branches81 (dimensionless)
    network · topology · componentsnetwork/topology/components11 (dimensionless)
    network · topology · rank Anetwork/topology/rankA41 (dimensionless)
    network · topology · cycle Dimensionnetwork/topology/cycleDimension41 (dimensionless)
    network · topology · rank Cnetwork/topology/rankC41 (dimensionless)
    network · topology · rank Qnetwork/topology/rankQ41 (dimensionless)
    network · orthogonality · A Ctranspose · entry 0 · entry 0network/orthogonality/A_Ctranspose/0/001 (dimensionless)
    network · orthogonality · A Ctranspose · entry 0 · entry 1network/orthogonality/A_Ctranspose/0/101 (dimensionless)
    network · orthogonality · A Ctranspose · entry 0 · entry 2network/orthogonality/A_Ctranspose/0/201 (dimensionless)
    network · orthogonality · A Ctranspose · entry 0 · entry 3network/orthogonality/A_Ctranspose/0/301 (dimensionless)
    network · orthogonality · A Ctranspose · entry 1 · entry 0network/orthogonality/A_Ctranspose/1/001 (dimensionless)
    network · orthogonality · A Ctranspose · entry 1 · entry 1network/orthogonality/A_Ctranspose/1/101 (dimensionless)
    network · orthogonality · A Ctranspose · entry 1 · entry 2network/orthogonality/A_Ctranspose/1/201 (dimensionless)
    network · orthogonality · A Ctranspose · entry 1 · entry 3network/orthogonality/A_Ctranspose/1/301 (dimensionless)
    network · orthogonality · A Ctranspose · entry 2 · entry 0network/orthogonality/A_Ctranspose/2/001 (dimensionless)
    network · orthogonality · A Ctranspose · entry 2 · entry 1network/orthogonality/A_Ctranspose/2/101 (dimensionless)
    network · orthogonality · A Ctranspose · entry 2 · entry 2network/orthogonality/A_Ctranspose/2/201 (dimensionless)
    network · orthogonality · A Ctranspose · entry 2 · entry 3network/orthogonality/A_Ctranspose/2/301 (dimensionless)
    network · orthogonality · A Ctranspose · entry 3 · entry 0network/orthogonality/A_Ctranspose/3/001 (dimensionless)
    network · orthogonality · A Ctranspose · entry 3 · entry 1network/orthogonality/A_Ctranspose/3/101 (dimensionless)
    network · orthogonality · A Ctranspose · entry 3 · entry 2network/orthogonality/A_Ctranspose/3/201 (dimensionless)
    network · orthogonality · A Ctranspose · entry 3 · entry 3network/orthogonality/A_Ctranspose/3/301 (dimensionless)
    network · orthogonality · A Ctranspose · entry 4 · entry 0network/orthogonality/A_Ctranspose/4/001 (dimensionless)
    network · orthogonality · A Ctranspose · entry 4 · entry 1network/orthogonality/A_Ctranspose/4/101 (dimensionless)
    network · orthogonality · A Ctranspose · entry 4 · entry 2network/orthogonality/A_Ctranspose/4/201 (dimensionless)
    network · orthogonality · A Ctranspose · entry 4 · entry 3network/orthogonality/A_Ctranspose/4/301 (dimensionless)
    network · orthogonality · Q Ctranspose · entry 0 · entry 0network/orthogonality/Q_Ctranspose/0/001 (dimensionless)
    network · orthogonality · Q Ctranspose · entry 0 · entry 1network/orthogonality/Q_Ctranspose/0/101 (dimensionless)
    network · orthogonality · Q Ctranspose · entry 0 · entry 2network/orthogonality/Q_Ctranspose/0/201 (dimensionless)
    network · orthogonality · Q Ctranspose · entry 0 · entry 3network/orthogonality/Q_Ctranspose/0/301 (dimensionless)
    network · orthogonality · Q Ctranspose · entry 1 · entry 0network/orthogonality/Q_Ctranspose/1/001 (dimensionless)
    network · orthogonality · Q Ctranspose · entry 1 · entry 1network/orthogonality/Q_Ctranspose/1/101 (dimensionless)
    network · orthogonality · Q Ctranspose · entry 1 · entry 2network/orthogonality/Q_Ctranspose/1/201 (dimensionless)
    network · orthogonality · Q Ctranspose · entry 1 · entry 3network/orthogonality/Q_Ctranspose/1/301 (dimensionless)
    network · orthogonality · Q Ctranspose · entry 2 · entry 0network/orthogonality/Q_Ctranspose/2/001 (dimensionless)
    network · orthogonality · Q Ctranspose · entry 2 · entry 1network/orthogonality/Q_Ctranspose/2/101 (dimensionless)
    network · orthogonality · Q Ctranspose · entry 2 · entry 2network/orthogonality/Q_Ctranspose/2/201 (dimensionless)
    network · orthogonality · Q Ctranspose · entry 2 · entry 3network/orthogonality/Q_Ctranspose/2/301 (dimensionless)
    network · orthogonality · Q Ctranspose · entry 3 · entry 0network/orthogonality/Q_Ctranspose/3/001 (dimensionless)
    network · orthogonality · Q Ctranspose · entry 3 · entry 1network/orthogonality/Q_Ctranspose/3/101 (dimensionless)
    network · orthogonality · Q Ctranspose · entry 3 · entry 2network/orthogonality/Q_Ctranspose/3/201 (dimensionless)
    network · orthogonality · Q Ctranspose · entry 3 · entry 3network/orthogonality/Q_Ctranspose/3/301 (dimensionless)
    network · unknown Node Conductance Matrix S · entry 0 · entry 0network/unknownNodeConductanceMatrixS/0/011/18S
    network · unknown Node Conductance Matrix S · entry 0 · entry 1network/unknownNodeConductanceMatrixS/0/1-1/3S
    network · unknown Node Conductance Matrix S · entry 1 · entry 0network/unknownNodeConductanceMatrixS/1/0-1/3S
    network · unknown Node Conductance Matrix S · entry 1 · entry 1network/unknownNodeConductanceMatrixS/1/12/3S
    network · conductance Determinant S2network/conductanceDeterminantS28/27S²
    network · critical Control · current Source Setpoint Anetwork/criticalControl/currentSourceSetpointA3/4A
    network · critical Control · node Potentials V · n0network/criticalControl/nodePotentialsV/n00V
    network · critical Control · node Potentials V · anetwork/criticalControl/nodePotentialsV/a12V
    network · critical Control · node Potentials V · bnetwork/criticalControl/nodePotentialsV/b9/2V
    network · critical Control · node Potentials V · cnetwork/criticalControl/nodePotentialsV/c9/2V
    network · critical Control · node Potentials V · dnetwork/criticalControl/nodePotentialsV/d3V
    network · critical Control · branches · branch b0 · voltage Vnetwork/criticalControl/branches/0/voltageV12V
    network · critical Control · branches · branch b0 · current Anetwork/criticalControl/branches/0/currentA-5/4A
    network · critical Control · branches · branch b0 · absorbed Power Wnetwork/criticalControl/branches/0/absorbedPowerW-15W
    network · critical Control · branches · branch b1 · voltage Vnetwork/criticalControl/branches/1/voltageV3V
    network · critical Control · branches · branch b1 · current Anetwork/criticalControl/branches/1/currentA3/8A
    network · critical Control · branches · branch b1 · absorbed Power Wnetwork/criticalControl/branches/1/absorbedPowerW9/8W
    network · critical Control · branches · branch b2 · voltage Vnetwork/criticalControl/branches/2/voltageV15/2V
    network · critical Control · branches · branch b2 · current Anetwork/criticalControl/branches/2/currentA5/4A
    network · critical Control · branches · branch b2 · absorbed Power Wnetwork/criticalControl/branches/2/absorbedPowerW75/8W
    network · critical Control · branches · branch b3 · voltage Vnetwork/criticalControl/branches/3/voltageV9/2V
    network · critical Control · branches · branch b3 · current Anetwork/criticalControl/branches/3/currentA1/2A
    network · critical Control · branches · branch b3 · absorbed Power Wnetwork/criticalControl/branches/3/absorbedPowerW9/4W
    network · critical Control · branches · branch b4 · voltage Vnetwork/criticalControl/branches/4/voltageV0V
    network · critical Control · branches · branch b4 · current Anetwork/criticalControl/branches/4/currentA0A
    network · critical Control · branches · branch b4 · absorbed Power Wnetwork/criticalControl/branches/4/absorbedPowerW0W
    network · critical Control · branches · branch b5 · voltage Vnetwork/criticalControl/branches/5/voltageV3/2V
    network · critical Control · branches · branch b5 · current Anetwork/criticalControl/branches/5/currentA3/8A
    network · critical Control · branches · branch b5 · absorbed Power Wnetwork/criticalControl/branches/5/absorbedPowerW9/16W
    network · critical Control · branches · branch b6 · voltage Vnetwork/criticalControl/branches/6/voltageV9/2V
    network · critical Control · branches · branch b6 · current Anetwork/criticalControl/branches/6/currentA3/8A
    network · critical Control · branches · branch b6 · absorbed Power Wnetwork/criticalControl/branches/6/absorbedPowerW27/16W
    network · critical Control · branches · branch b7 · voltage Vnetwork/criticalControl/branches/7/voltageV0V
    network · critical Control · branches · branch b7 · current Anetwork/criticalControl/branches/7/currentA3/4A
    network · critical Control · branches · branch b7 · absorbed Power Wnetwork/criticalControl/branches/7/absorbedPowerW0W
    network · critical Control · kcl Residuals A · entry 0network/criticalControl/kclResidualsA/00A
    network · critical Control · kcl Residuals A · entry 1network/criticalControl/kclResidualsA/10A
    network · critical Control · kcl Residuals A · entry 2network/criticalControl/kclResidualsA/20A
    network · critical Control · kcl Residuals A · entry 3network/criticalControl/kclResidualsA/30A
    network · critical Control · kcl Residuals A · entry 4network/criticalControl/kclResidualsA/40A
    network · critical Control · cycle Residuals V · entry 0network/criticalControl/cycleResidualsV/00V
    network · critical Control · cycle Residuals V · entry 1network/criticalControl/cycleResidualsV/10V
    network · critical Control · cycle Residuals V · entry 2network/criticalControl/cycleResidualsV/20V
    network · critical Control · cycle Residuals V · entry 3network/criticalControl/cycleResidualsV/30V
    network · critical Control · fundamental Cutset Residuals A · entry 0network/criticalControl/fundamentalCutsetResidualsA/00A
    network · critical Control · fundamental Cutset Residuals A · entry 1network/criticalControl/fundamentalCutsetResidualsA/10A
    network · critical Control · fundamental Cutset Residuals A · entry 2network/criticalControl/fundamentalCutsetResidualsA/20A
    network · critical Control · fundamental Cutset Residuals A · entry 3network/criticalControl/fundamentalCutsetResidualsA/30A
    network · critical Control · resistor Law Residuals V · entry 0network/criticalControl/resistorLawResidualsV/00V
    network · critical Control · resistor Law Residuals V · entry 1network/criticalControl/resistorLawResidualsV/10V
    network · critical Control · resistor Law Residuals V · entry 2network/criticalControl/resistorLawResidualsV/20V
    network · critical Control · resistor Law Residuals V · entry 3network/criticalControl/resistorLawResidualsV/30V
    network · critical Control · resistor Law Residuals V · entry 4network/criticalControl/resistorLawResidualsV/40V
    network · critical Control · total Absorbed Power Wnetwork/criticalControl/totalAbsorbedPowerW0W
    network · reference Reversal · new Incidence · entry 0 · entry 0network/referenceReversal/newIncidence/0/0-11 (dimensionless)
    network · reference Reversal · new Incidence · entry 0 · entry 1network/referenceReversal/newIncidence/0/1-11 (dimensionless)
    network · reference Reversal · new Incidence · entry 0 · entry 2network/referenceReversal/newIncidence/0/201 (dimensionless)
    network · reference Reversal · new Incidence · entry 0 · entry 3network/referenceReversal/newIncidence/0/3-11 (dimensionless)
    network · reference Reversal · new Incidence · entry 0 · entry 4network/referenceReversal/newIncidence/0/401 (dimensionless)
    network · reference Reversal · new Incidence · entry 0 · entry 5network/referenceReversal/newIncidence/0/501 (dimensionless)
    network · reference Reversal · new Incidence · entry 0 · entry 6network/referenceReversal/newIncidence/0/6-11 (dimensionless)
    network · reference Reversal · new Incidence · entry 0 · entry 7network/referenceReversal/newIncidence/0/701 (dimensionless)
    network · reference Reversal · new Incidence · entry 1 · entry 0network/referenceReversal/newIncidence/1/011 (dimensionless)
    network · reference Reversal · new Incidence · entry 1 · entry 1network/referenceReversal/newIncidence/1/101 (dimensionless)
    network · reference Reversal · new Incidence · entry 1 · entry 2network/referenceReversal/newIncidence/1/211 (dimensionless)
    network · reference Reversal · new Incidence · entry 1 · entry 3network/referenceReversal/newIncidence/1/301 (dimensionless)
    network · reference Reversal · new Incidence · entry 1 · entry 4network/referenceReversal/newIncidence/1/401 (dimensionless)
    network · reference Reversal · new Incidence · entry 1 · entry 5network/referenceReversal/newIncidence/1/501 (dimensionless)
    network · reference Reversal · new Incidence · entry 1 · entry 6network/referenceReversal/newIncidence/1/601 (dimensionless)
    network · reference Reversal · new Incidence · entry 1 · entry 7network/referenceReversal/newIncidence/1/701 (dimensionless)
    network · reference Reversal · new Incidence · entry 2 · entry 0network/referenceReversal/newIncidence/2/001 (dimensionless)
    network · reference Reversal · new Incidence · entry 2 · entry 1network/referenceReversal/newIncidence/2/101 (dimensionless)
    network · reference Reversal · new Incidence · entry 2 · entry 2network/referenceReversal/newIncidence/2/2-11 (dimensionless)
    network · reference Reversal · new Incidence · entry 2 · entry 3network/referenceReversal/newIncidence/2/311 (dimensionless)
    network · reference Reversal · new Incidence · entry 2 · entry 4network/referenceReversal/newIncidence/2/4-11 (dimensionless)
    network · reference Reversal · new Incidence · entry 2 · entry 5network/referenceReversal/newIncidence/2/501 (dimensionless)
    network · reference Reversal · new Incidence · entry 2 · entry 6network/referenceReversal/newIncidence/2/601 (dimensionless)
    network · reference Reversal · new Incidence · entry 2 · entry 7network/referenceReversal/newIncidence/2/711 (dimensionless)
    network · reference Reversal · new Incidence · entry 3 · entry 0network/referenceReversal/newIncidence/3/001 (dimensionless)
    network · reference Reversal · new Incidence · entry 3 · entry 1network/referenceReversal/newIncidence/3/101 (dimensionless)
    network · reference Reversal · new Incidence · entry 3 · entry 2network/referenceReversal/newIncidence/3/201 (dimensionless)
    network · reference Reversal · new Incidence · entry 3 · entry 3network/referenceReversal/newIncidence/3/301 (dimensionless)
    network · reference Reversal · new Incidence · entry 3 · entry 4network/referenceReversal/newIncidence/3/411 (dimensionless)
    network · reference Reversal · new Incidence · entry 3 · entry 5network/referenceReversal/newIncidence/3/511 (dimensionless)
    network · reference Reversal · new Incidence · entry 3 · entry 6network/referenceReversal/newIncidence/3/611 (dimensionless)
    network · reference Reversal · new Incidence · entry 3 · entry 7network/referenceReversal/newIncidence/3/7-11 (dimensionless)
    network · reference Reversal · new Incidence · entry 4 · entry 0network/referenceReversal/newIncidence/4/001 (dimensionless)
    network · reference Reversal · new Incidence · entry 4 · entry 1network/referenceReversal/newIncidence/4/111 (dimensionless)
    network · reference Reversal · new Incidence · entry 4 · entry 2network/referenceReversal/newIncidence/4/201 (dimensionless)
    network · reference Reversal · new Incidence · entry 4 · entry 3network/referenceReversal/newIncidence/4/301 (dimensionless)
    network · reference Reversal · new Incidence · entry 4 · entry 4network/referenceReversal/newIncidence/4/401 (dimensionless)
    network · reference Reversal · new Incidence · entry 4 · entry 5network/referenceReversal/newIncidence/4/5-11 (dimensionless)
    network · reference Reversal · new Incidence · entry 4 · entry 6network/referenceReversal/newIncidence/4/601 (dimensionless)
    network · reference Reversal · new Incidence · entry 4 · entry 7network/referenceReversal/newIncidence/4/701 (dimensionless)
    network · reference Reversal · new Cycle Matrix · entry 0 · entry 0network/referenceReversal/newCycleMatrix/0/0-11 (dimensionless)
    network · reference Reversal · new Cycle Matrix · entry 0 · entry 1network/referenceReversal/newCycleMatrix/0/101 (dimensionless)
    network · reference Reversal · new Cycle Matrix · entry 0 · entry 2network/referenceReversal/newCycleMatrix/0/211 (dimensionless)
    network · reference Reversal · new Cycle Matrix · entry 0 · entry 3network/referenceReversal/newCycleMatrix/0/311 (dimensionless)
    network · reference Reversal · new Cycle Matrix · entry 0 · entry 4network/referenceReversal/newCycleMatrix/0/401 (dimensionless)
    network · reference Reversal · new Cycle Matrix · entry 0 · entry 5network/referenceReversal/newCycleMatrix/0/501 (dimensionless)
    network · reference Reversal · new Cycle Matrix · entry 0 · entry 6network/referenceReversal/newCycleMatrix/0/601 (dimensionless)
    network · reference Reversal · new Cycle Matrix · entry 0 · entry 7network/referenceReversal/newCycleMatrix/0/701 (dimensionless)
    network · reference Reversal · new Cycle Matrix · entry 1 · entry 0network/referenceReversal/newCycleMatrix/1/0-11 (dimensionless)
    network · reference Reversal · new Cycle Matrix · entry 1 · entry 1network/referenceReversal/newCycleMatrix/1/111 (dimensionless)
    network · reference Reversal · new Cycle Matrix · entry 1 · entry 2network/referenceReversal/newCycleMatrix/1/211 (dimensionless)
    network · reference Reversal · new Cycle Matrix · entry 1 · entry 3network/referenceReversal/newCycleMatrix/1/301 (dimensionless)
    network · reference Reversal · new Cycle Matrix · entry 1 · entry 4network/referenceReversal/newCycleMatrix/1/4-11 (dimensionless)
    network · reference Reversal · new Cycle Matrix · entry 1 · entry 5network/referenceReversal/newCycleMatrix/1/511 (dimensionless)
    network · reference Reversal · new Cycle Matrix · entry 1 · entry 6network/referenceReversal/newCycleMatrix/1/601 (dimensionless)
    network · reference Reversal · new Cycle Matrix · entry 1 · entry 7network/referenceReversal/newCycleMatrix/1/701 (dimensionless)
    network · reference Reversal · new Cycle Matrix · entry 2 · entry 0network/referenceReversal/newCycleMatrix/2/0-11 (dimensionless)
    network · reference Reversal · new Cycle Matrix · entry 2 · entry 1network/referenceReversal/newCycleMatrix/2/101 (dimensionless)
    network · reference Reversal · new Cycle Matrix · entry 2 · entry 2network/referenceReversal/newCycleMatrix/2/211 (dimensionless)
    network · reference Reversal · new Cycle Matrix · entry 2 · entry 3network/referenceReversal/newCycleMatrix/2/301 (dimensionless)
    network · reference Reversal · new Cycle Matrix · entry 2 · entry 4network/referenceReversal/newCycleMatrix/2/4-11 (dimensionless)
    network · reference Reversal · new Cycle Matrix · entry 2 · entry 5network/referenceReversal/newCycleMatrix/2/501 (dimensionless)
    network · reference Reversal · new Cycle Matrix · entry 2 · entry 6network/referenceReversal/newCycleMatrix/2/611 (dimensionless)
    network · reference Reversal · new Cycle Matrix · entry 2 · entry 7network/referenceReversal/newCycleMatrix/2/701 (dimensionless)
    network · reference Reversal · new Cycle Matrix · entry 3 · entry 0network/referenceReversal/newCycleMatrix/3/001 (dimensionless)
    network · reference Reversal · new Cycle Matrix · entry 3 · entry 1network/referenceReversal/newCycleMatrix/3/101 (dimensionless)
    network · reference Reversal · new Cycle Matrix · entry 3 · entry 2network/referenceReversal/newCycleMatrix/3/201 (dimensionless)
    network · reference Reversal · new Cycle Matrix · entry 3 · entry 3network/referenceReversal/newCycleMatrix/3/301 (dimensionless)
    network · reference Reversal · new Cycle Matrix · entry 3 · entry 4network/referenceReversal/newCycleMatrix/3/411 (dimensionless)
    network · reference Reversal · new Cycle Matrix · entry 3 · entry 5network/referenceReversal/newCycleMatrix/3/501 (dimensionless)
    network · reference Reversal · new Cycle Matrix · entry 3 · entry 6network/referenceReversal/newCycleMatrix/3/601 (dimensionless)
    network · reference Reversal · new Cycle Matrix · entry 3 · entry 7network/referenceReversal/newCycleMatrix/3/711 (dimensionless)
    network · reference Reversal · new Branch Voltages V · entry 0network/referenceReversal/newBranchVoltagesV/012V
    network · reference Reversal · new Branch Voltages V · entry 1network/referenceReversal/newBranchVoltagesV/13V
    network · reference Reversal · new Branch Voltages V · entry 2network/referenceReversal/newBranchVoltagesV/2267/32V
    network · reference Reversal · new Branch Voltages V · entry 3network/referenceReversal/newBranchVoltagesV/3117/32V
    network · reference Reversal · new Branch Voltages V · entry 4network/referenceReversal/newBranchVoltagesV/499/64V
    network · reference Reversal · new Branch Voltages V · entry 5network/referenceReversal/newBranchVoltagesV/5141/64V
    network · reference Reversal · new Branch Voltages V · entry 6network/referenceReversal/newBranchVoltagesV/6333/64V
    network · reference Reversal · new Branch Voltages V · entry 7network/referenceReversal/newBranchVoltagesV/7-99/64V
    network · reference Reversal · new Branch Currents A · entry 0network/referenceReversal/newBranchCurrentsA/0-89/64A
    network · reference Reversal · new Branch Currents A · entry 1network/referenceReversal/newBranchCurrentsA/1141/256A
    network · reference Reversal · new Branch Currents A · entry 2network/referenceReversal/newBranchCurrentsA/289/64A
    network · reference Reversal · new Branch Currents A · entry 3network/referenceReversal/newBranchCurrentsA/313/32A
    network · reference Reversal · new Branch Currents A · entry 4network/referenceReversal/newBranchCurrentsA/433/64A
    network · reference Reversal · new Branch Currents A · entry 5network/referenceReversal/newBranchCurrentsA/5141/256A
    network · reference Reversal · new Branch Currents A · entry 6network/referenceReversal/newBranchCurrentsA/6111/256A
    network · reference Reversal · new Branch Currents A · entry 7network/referenceReversal/newBranchCurrentsA/73/2A
    network · reference Reversal · new Absorbed Powers W · entry 0network/referenceReversal/newAbsorbedPowersW/0-267/16W
    network · reference Reversal · new Absorbed Powers W · entry 1network/referenceReversal/newAbsorbedPowersW/1423/256W
    network · reference Reversal · new Absorbed Powers W · entry 2network/referenceReversal/newAbsorbedPowersW/223763/2048W
    network · reference Reversal · new Absorbed Powers W · entry 3network/referenceReversal/newAbsorbedPowersW/31521/1024W
    network · reference Reversal · new Absorbed Powers W · entry 4network/referenceReversal/newAbsorbedPowersW/43267/4096W
    network · reference Reversal · new Absorbed Powers W · entry 5network/referenceReversal/newAbsorbedPowersW/519881/16384W
    network · reference Reversal · new Absorbed Powers W · entry 6network/referenceReversal/newAbsorbedPowersW/636963/16384W
    network · reference Reversal · new Absorbed Powers W · entry 7network/referenceReversal/newAbsorbedPowersW/7-297/128W
    network · rereference · new Node Potentials V · n0network/rereference/newNodePotentialsV/n0-3V
    network · rereference · new Node Potentials V · anetwork/rereference/newNodePotentialsV/a9V
    network · rereference · new Node Potentials V · bnetwork/rereference/newNodePotentialsV/b21/32V
    network · rereference · new Node Potentials V · cnetwork/rereference/newNodePotentialsV/c141/64V
    network · rereference · new Node Potentials V · dnetwork/rereference/newNodePotentialsV/d0V
    network · rereference · unchanged Branch Voltages V · entry 0network/rereference/unchangedBranchVoltagesV/012V
    network · rereference · unchanged Branch Voltages V · entry 1network/rereference/unchangedBranchVoltagesV/13V
    network · rereference · unchanged Branch Voltages V · entry 2network/rereference/unchangedBranchVoltagesV/2267/32V
    network · rereference · unchanged Branch Voltages V · entry 3network/rereference/unchangedBranchVoltagesV/3117/32V
    network · rereference · unchanged Branch Voltages V · entry 4network/rereference/unchangedBranchVoltagesV/4-99/64V
    network · rereference · unchanged Branch Voltages V · entry 5network/rereference/unchangedBranchVoltagesV/5141/64V
    network · rereference · unchanged Branch Voltages V · entry 6network/rereference/unchangedBranchVoltagesV/6333/64V
    network · rereference · unchanged Branch Voltages V · entry 7network/rereference/unchangedBranchVoltagesV/7-99/64V
    network · mixed Tellegen · voltage State J Anetwork/mixedTellegen/voltageStateJ_A1/4A
    network · mixed Tellegen · current State J Anetwork/mixedTellegen/currentStateJ_A7/4A
    network · mixed Tellegen · voltages V · entry 0network/mixedTellegen/voltagesV/012V
    network · mixed Tellegen · voltages V · entry 1network/mixedTellegen/voltagesV/13V
    network · mixed Tellegen · voltages V · entry 2network/mixedTellegen/voltagesV/2111/16V
    network · mixed Tellegen · voltages V · entry 3network/mixedTellegen/voltagesV/381/16V
    network · mixed Tellegen · voltages V · entry 4network/mixedTellegen/voltagesV/433/32V
    network · mixed Tellegen · voltages V · entry 5network/mixedTellegen/voltagesV/533/32V
    network · mixed Tellegen · voltages V · entry 6network/mixedTellegen/voltagesV/6129/32V
    network · mixed Tellegen · voltages V · entry 7network/mixedTellegen/voltagesV/733/32V
    network · mixed Tellegen · currents A · entry 0network/mixedTellegen/currentsA/0-23/16A
    network · mixed Tellegen · currents A · entry 1network/mixedTellegen/currentsA/139/64A
    network · mixed Tellegen · currents A · entry 2network/mixedTellegen/currentsA/223/16A
    network · mixed Tellegen · currents A · entry 3network/mixedTellegen/currentsA/33/8A
    network · mixed Tellegen · currents A · entry 4network/mixedTellegen/currentsA/4-11/16A
    network · mixed Tellegen · currents A · entry 5network/mixedTellegen/currentsA/539/64A
    network · mixed Tellegen · currents A · entry 6network/mixedTellegen/currentsA/629/64A
    network · mixed Tellegen · currents A · entry 7network/mixedTellegen/currentsA/77/4A
    network · mixed Tellegen · pairing Terms W dimension · entry 0network/mixedTellegen/pairingTermsW_dimension/0-69/4W dimensions (mixed algebraic pairing)
    network · mixed Tellegen · pairing Terms W dimension · entry 1network/mixedTellegen/pairingTermsW_dimension/1117/64W dimensions (mixed algebraic pairing)
    network · mixed Tellegen · pairing Terms W dimension · entry 2network/mixedTellegen/pairingTermsW_dimension/22553/256W dimensions (mixed algebraic pairing)
    network · mixed Tellegen · pairing Terms W dimension · entry 3network/mixedTellegen/pairingTermsW_dimension/3243/128W dimensions (mixed algebraic pairing)
    network · mixed Tellegen · pairing Terms W dimension · entry 4network/mixedTellegen/pairingTermsW_dimension/4-363/512W dimensions (mixed algebraic pairing)
    network · mixed Tellegen · pairing Terms W dimension · entry 5network/mixedTellegen/pairingTermsW_dimension/51287/2048W dimensions (mixed algebraic pairing)
    network · mixed Tellegen · pairing Terms W dimension · entry 6network/mixedTellegen/pairingTermsW_dimension/63741/2048W dimensions (mixed algebraic pairing)
    network · mixed Tellegen · pairing Terms W dimension · entry 7network/mixedTellegen/pairingTermsW_dimension/7231/128W dimensions (mixed algebraic pairing)
    network · mixed Tellegen · sum Pairing W dimensionnetwork/mixedTellegen/sumPairingW_dimension0W dimensions (mixed algebraic pairing)
    rank Control · nodesrankControl/nodes71 (dimensionless)
    rank Control · branchesrankControl/branches81 (dimensionless)
    rank Control · componentsrankControl/components21 (dimensionless)
    rank Control · incidence RankrankControl/incidenceRank51 (dimensionless)
    rank Control · cycle DimensionrankControl/cycleDimension31 (dimensionless)

    Each graph and exact table scrolls within its own labelled region. Focus the region to use horizontal arrow keys. The data tables retain exact rational values; plotted decimals do not add scientific precision.

    21

    Separate mixed pairings from physical power

    Tellegen’s algebra also permits v from one compatible state and i from another state on the same oriented graph. We retain the voltages from J_s=1/4 A and the currents from J_s=7/4 A. Their eight products sum exactly to zero. This is a useful demonstration of orthogonality, not a claim that both source settings occur simultaneously.

    For example, the mixed product in resistor branch b4 is −363/512 in watt dimensions. A positive resistor cannot have that negative absorbed power in a simultaneous state satisfying v=Ri. The paired voltage and current are from different solutions and do not generally satisfy that resistor relation together.

    This distinction prevents an important overclaim. A bilinear zero sum is not by itself energy conservation for a realizable common state, still less proof of circuit existence or uniqueness. For actual power accounting, enforce the element laws and state conditions as well as the graph constraints.

    22

    Demand constitutive closure and consistency

    KCL and KVL leave degrees of freedom. In this connected graph, four independent current constraints and four independent voltage constraints act on sixteen branch variables. The eight element relations provide the remaining closure, although the resulting equations can still be dependent or inconsistent. Equation counting is a guide, not an existence theorem.

    A positive resistor gives v=Ri. An ideal voltage constraint gives v=V_s without independently fixing i; an ideal current constraint gives i=I_s without independently fixing v. Capacitors and inductors introduce state and derivative relations, and need appropriate initial conditions in a time-dependent problem. Their complete RC/RL evolution is outside this lesson.

    Nonlinear or controlled elements may produce multiple equilibria, no equilibrium, or a singular linearization. Real sources have compliance limits; real conductors have geometry and thermal constraints. The exact unique result for our specified positive-resistor example does not justify a universal claim that any collection of ideal symbols is solvable.

    23

    Examine ideal-source degeneracy

    Two ideal voltage constraints across the same ordered node pair cannot simultaneously require 5 V and 7 V. Their difference forms an inconsistent loop. The one-column constraint matrix has rank one, while the augmented matrix has rank two. No finite value of an unspecified source current fixes that contradiction.

    If both constraints require 5 V, a 5 Ω parallel load draws 1 A. The source currents referred from the positive node to the reference can be j and −(1 A)−j for arbitrary current j. KCL and total power hold for every j, but the ideal model cannot choose how the two sources share the current. Small output impedances or control laws are a physical refinement, not information already present in the ideal symbols.

    Two imposed series currents of 1 A and 2 A at an otherwise isolated zero-storage junction are inconsistent for the complementary cutset reason. A real node may charge or a source may reach its compliance limit, but those outcomes require an augmented model. Declaring an automatic infinite voltage is not a solution of the stated ideal DC equations.

    Ideal constraints: distinguish inconsistent, nonunique and solvable statements
    Specified situationGraph consequenceInterpretation
    Parallel 5 V and 7 V, same polarityNonzero imposed loop sumNo ideal state
    Parallel 5 V and 5 V with 5 Ω loadLoad current fixed; source sharing freeMany ideal source-current assignments
    Series 1 A and 2 A at isolated zero-storage nodeNonzero imposed node-current sumNo ideal steady state
    24

    Include the meter in the network

    A voltmeter is connected across a port and ideally draws no current. A real input draws some current and changes the network. An ammeter is inserted in series and ideally adds no voltage drop; a real one has burden impedance. Placing a low-impedance current input directly across a voltage source creates a different, potentially destructive circuit, rather than merely observing its current.

    Our original divider has a 12 V ideal source, 6 kΩ upper resistor and 12 kΩ lower resistor. An ideal open-input voltmeter reads 8 V. A 12 kΩ meter in parallel with the lower resistor makes that effective lower resistance 6 kΩ, so the reading becomes 6 V. The meter draws 1/2 mA, equal to the lower-resistor current; the top branch carries 1 mA.

    Writing α for meter conductance divided by 1/(12 kΩ), the exact static reading is 24/(3+α) V. The retained seventeen states use α=0,1/4,…,4. At α=0 the input is open, with no ordinary finite input-resistance value; it is not a zero-ohm meter. The full model includes source and meter powers rather than treating the instrument as absent.

    Meter loading, induced paths and model limits

    Include the meter load, follow explicit lead paths and retain nonunique ideal-source and finite-propagation qualifications.

    A voltmeter is part of the circuit it loads

    • Loaded node voltage (V)
    • Top resistor current (mA)
    • Bottom resistor current (mA)
    • Meter input current (mA)
    • Source passive-reference current (mA)
    A voltmeter is part of the circuit it loadsAll 17 conductance loads retain both the changed node voltage and every current, with open-input endpoint and separate V/mA axes.0123402468α=0: open input, V=8 V, I_meter=0No finite input-resistance value exists at that endpoint.Loaded node voltage (V)α: meter conductance = α/12000 S; 17 static load states01234-1.5-1-0.500.511.5Every curve here is in mA (1000 × source current in A)α is an input-conductance setpoint, not timeAt α=1: input resistance 12000 Ω; voltage 6 V. Loading is included, not corrected afterward.

    Routed induction, ideal-source freedom and propagation limits

    • Source 1: free passive-reference current j (A)
    • Source 2: passive-reference current −1−j (A)
    • Load: fixed current 1 A
    Routed induction, ideal-source freedom and propagation limitsTwo directed lead paths retain a specified baseline and induced difference; separate ideal-source-sharing and propagation controls keep their model limits visible.Two explicitly routed a→b path integrals; C1 then reverse C2 is positive CCW.abC2: V₂ = 2 V (assigned baseline)C1: V₁ = 7/5 VdΦ_ext/dt = 3/5 Wb/s (+z)V₁−V₂ = −dΦ_ext/dt = -3/5 VLoop current relative to positive CCW: -1/5 A (opposite sign)v_R = -3/5 Vassigned source drop = 3/5 VThe emf is included once. Fixed prescribed flux, stationary loop; no self-inductance/startup model.-2-1012-3-2-1012Associated-reference currents (A), equal 5 V source constraintsFree ideal-source current j (A); five allowed sharing states, not a unique predictionPropagation ratio, slow rise: 1/20 (dimensionless)Propagation ratio, fast rise: 5 (dimensionless)Small ratio is necessary, not an accuracy guarantee. Speed is prescribed, not measured cable data.Unequal parallel 5 V/7 V constraints are inconsistent; equal 5 V/5 V gives nonunique sharing.Series 1 A/2 A at an isolated zero-storage node is inconsistent, not an infinite-voltage prediction.
    • The 17 meter states vary input conductance α/12000 S. At α=0 the meter is ideally open: input current is zero and no finite input resistance is assigned. It is not a zero-ohm input.
    • For the fixed positive CCW induction loop, assigned source drop is −emf. The two a-to-b lead paths have path2 baseline 2 V and path1 7/5 V, so their difference is −3/5 V. They are routed field integrals, not a universal path-independent voltmeter reading.
    • The five ideal-source-sharing states have a free current parameter. Equal ideal voltage constraints do not select unique source currents; inconsistent voltage or current constraints have no steady ideal solution.
    • Propagation ratios use a prescribed illustrative speed. A small length/(speed×rise-time) ratio is necessary for neglecting propagation, not an accuracy guarantee. No new transient or measured instrument model is supplied.

    Ideal constraints: distinguish inconsistent, nonunique and solvable statements

    Original divider with and without the specified meter load

    Meter loading, induced paths and model limits — complete exact source quantities (313 exact quantities)

    All original states and controls remain here, including matrix, residual, reference-change and mixed-pairing quantities. Each value is the raw exact reduced rational from its labelled source path.

    Meter loading, induced paths and model limits — complete exact source quantities
    Source quantity and recordExact rational valueSI units or interpretation
    induction And Leads · flux Derivative Wb Per SinductionAndLeads/fluxDerivativeWbPerS3/5Wb/s
    induction And Leads · induced Emf VinductionAndLeads/inducedEmfV-3/5V
    induction And Leads · resistance OhminductionAndLeads/resistanceOhm3Ω
    induction And Leads · ccw Current AinductionAndLeads/ccwCurrentA-1/5A
    induction And Leads · resistor Passive Drop VinductionAndLeads/resistorPassiveDropV-3/5V
    induction And Leads · assigned Induced Source Passive Drop VinductionAndLeads/assignedInducedSourcePassiveDropV3/5V
    induction And Leads · resistor Absorbed Power WinductionAndLeads/resistorAbsorbedPowerW3/25W
    induction And Leads · assigned Source Absorbed Power WinductionAndLeads/assignedSourceAbsorbedPowerW-3/25W
    induction And Leads · circuit KVLResidual VinductionAndLeads/circuitKVLResidualV0V
    induction And Leads · total Port Power WinductionAndLeads/totalPortPowerW0W
    induction And Leads · path2 Drop VinductionAndLeads/path2DropV2V
    induction And Leads · path1 Drop VinductionAndLeads/path1DropV7/5V
    induction And Leads · path1 Minus Path2 VinductionAndLeads/path1MinusPath2V-3/5V
    meter Loading · rows · entry 0 · conductance Ratio AlphameterLoading/rows/0/conductanceRatioAlpha01 (dimensionless)
    meter Loading · rows · entry 0 · input Conductance SmeterLoading/rows/0/inputConductanceS0S
    meter Loading · rows · entry 0 · node Voltage VmeterLoading/rows/0/nodeVoltageV8V
    meter Loading · rows · entry 0 · source Current AmeterLoading/rows/0/sourceCurrentA-1/1500A
    meter Loading · rows · entry 0 · top Current AmeterLoading/rows/0/topCurrentA1/1500A
    meter Loading · rows · entry 0 · bottom Current AmeterLoading/rows/0/bottomCurrentA1/1500A
    meter Loading · rows · entry 0 · meter Current AmeterLoading/rows/0/meterCurrentA0A
    meter Loading · rows · entry 0 · absorbed Powers W · entry 0meterLoading/rows/0/absorbedPowersW/0-1/125W
    meter Loading · rows · entry 0 · absorbed Powers W · entry 1meterLoading/rows/0/absorbedPowersW/11/375W
    meter Loading · rows · entry 0 · absorbed Powers W · entry 2meterLoading/rows/0/absorbedPowersW/22/375W
    meter Loading · rows · entry 0 · absorbed Powers W · entry 3meterLoading/rows/0/absorbedPowersW/30W
    meter Loading · rows · entry 0 · kcl Residual AmeterLoading/rows/0/kclResidualA0A
    meter Loading · rows · entry 0 · total Power WmeterLoading/rows/0/totalPowerW0W
    meter Loading · rows · entry 1 · conductance Ratio AlphameterLoading/rows/1/conductanceRatioAlpha1/41 (dimensionless)
    meter Loading · rows · entry 1 · input Conductance SmeterLoading/rows/1/inputConductanceS1/48000S
    meter Loading · rows · entry 1 · input Resistance OhmmeterLoading/rows/1/inputResistanceOhm48000Ω
    meter Loading · rows · entry 1 · node Voltage VmeterLoading/rows/1/nodeVoltageV96/13V
    meter Loading · rows · entry 1 · source Current AmeterLoading/rows/1/sourceCurrentA-1/1300A
    meter Loading · rows · entry 1 · top Current AmeterLoading/rows/1/topCurrentA1/1300A
    meter Loading · rows · entry 1 · bottom Current AmeterLoading/rows/1/bottomCurrentA1/1625A
    meter Loading · rows · entry 1 · meter Current AmeterLoading/rows/1/meterCurrentA1/6500A
    meter Loading · rows · entry 1 · absorbed Powers W · entry 0meterLoading/rows/1/absorbedPowersW/0-3/325W
    meter Loading · rows · entry 1 · absorbed Powers W · entry 1meterLoading/rows/1/absorbedPowersW/13/845W
    meter Loading · rows · entry 1 · absorbed Powers W · entry 2meterLoading/rows/1/absorbedPowersW/296/21125W
    meter Loading · rows · entry 1 · absorbed Powers W · entry 3meterLoading/rows/1/absorbedPowersW/324/21125W
    meter Loading · rows · entry 1 · kcl Residual AmeterLoading/rows/1/kclResidualA0A
    meter Loading · rows · entry 1 · total Power WmeterLoading/rows/1/totalPowerW0W
    meter Loading · rows · entry 2 · conductance Ratio AlphameterLoading/rows/2/conductanceRatioAlpha1/21 (dimensionless)
    meter Loading · rows · entry 2 · input Conductance SmeterLoading/rows/2/inputConductanceS1/24000S
    meter Loading · rows · entry 2 · input Resistance OhmmeterLoading/rows/2/inputResistanceOhm24000Ω
    meter Loading · rows · entry 2 · node Voltage VmeterLoading/rows/2/nodeVoltageV48/7V
    meter Loading · rows · entry 2 · source Current AmeterLoading/rows/2/sourceCurrentA-3/3500A
    meter Loading · rows · entry 2 · top Current AmeterLoading/rows/2/topCurrentA3/3500A
    meter Loading · rows · entry 2 · bottom Current AmeterLoading/rows/2/bottomCurrentA1/1750A
    meter Loading · rows · entry 2 · meter Current AmeterLoading/rows/2/meterCurrentA1/3500A
    meter Loading · rows · entry 2 · absorbed Powers W · entry 0meterLoading/rows/2/absorbedPowersW/0-9/875W
    meter Loading · rows · entry 2 · absorbed Powers W · entry 1meterLoading/rows/2/absorbedPowersW/127/6125W
    meter Loading · rows · entry 2 · absorbed Powers W · entry 2meterLoading/rows/2/absorbedPowersW/224/6125W
    meter Loading · rows · entry 2 · absorbed Powers W · entry 3meterLoading/rows/2/absorbedPowersW/312/6125W
    meter Loading · rows · entry 2 · kcl Residual AmeterLoading/rows/2/kclResidualA0A
    meter Loading · rows · entry 2 · total Power WmeterLoading/rows/2/totalPowerW0W
    meter Loading · rows · entry 3 · conductance Ratio AlphameterLoading/rows/3/conductanceRatioAlpha3/41 (dimensionless)
    meter Loading · rows · entry 3 · input Conductance SmeterLoading/rows/3/inputConductanceS1/16000S
    meter Loading · rows · entry 3 · input Resistance OhmmeterLoading/rows/3/inputResistanceOhm16000Ω
    meter Loading · rows · entry 3 · node Voltage VmeterLoading/rows/3/nodeVoltageV32/5V
    meter Loading · rows · entry 3 · source Current AmeterLoading/rows/3/sourceCurrentA-7/7500A
    meter Loading · rows · entry 3 · top Current AmeterLoading/rows/3/topCurrentA7/7500A
    meter Loading · rows · entry 3 · bottom Current AmeterLoading/rows/3/bottomCurrentA1/1875A
    meter Loading · rows · entry 3 · meter Current AmeterLoading/rows/3/meterCurrentA1/2500A
    meter Loading · rows · entry 3 · absorbed Powers W · entry 0meterLoading/rows/3/absorbedPowersW/0-7/625W
    meter Loading · rows · entry 3 · absorbed Powers W · entry 1meterLoading/rows/3/absorbedPowersW/149/9375W
    meter Loading · rows · entry 3 · absorbed Powers W · entry 2meterLoading/rows/3/absorbedPowersW/232/9375W
    meter Loading · rows · entry 3 · absorbed Powers W · entry 3meterLoading/rows/3/absorbedPowersW/38/3125W
    meter Loading · rows · entry 3 · kcl Residual AmeterLoading/rows/3/kclResidualA0A
    meter Loading · rows · entry 3 · total Power WmeterLoading/rows/3/totalPowerW0W
    meter Loading · rows · entry 4 · conductance Ratio AlphameterLoading/rows/4/conductanceRatioAlpha11 (dimensionless)
    meter Loading · rows · entry 4 · input Conductance SmeterLoading/rows/4/inputConductanceS1/12000S
    meter Loading · rows · entry 4 · input Resistance OhmmeterLoading/rows/4/inputResistanceOhm12000Ω
    meter Loading · rows · entry 4 · node Voltage VmeterLoading/rows/4/nodeVoltageV6V
    meter Loading · rows · entry 4 · source Current AmeterLoading/rows/4/sourceCurrentA-1/1000A
    meter Loading · rows · entry 4 · top Current AmeterLoading/rows/4/topCurrentA1/1000A
    meter Loading · rows · entry 4 · bottom Current AmeterLoading/rows/4/bottomCurrentA1/2000A
    meter Loading · rows · entry 4 · meter Current AmeterLoading/rows/4/meterCurrentA1/2000A
    meter Loading · rows · entry 4 · absorbed Powers W · entry 0meterLoading/rows/4/absorbedPowersW/0-3/250W
    meter Loading · rows · entry 4 · absorbed Powers W · entry 1meterLoading/rows/4/absorbedPowersW/13/500W
    meter Loading · rows · entry 4 · absorbed Powers W · entry 2meterLoading/rows/4/absorbedPowersW/23/1000W
    meter Loading · rows · entry 4 · absorbed Powers W · entry 3meterLoading/rows/4/absorbedPowersW/33/1000W
    meter Loading · rows · entry 4 · kcl Residual AmeterLoading/rows/4/kclResidualA0A
    meter Loading · rows · entry 4 · total Power WmeterLoading/rows/4/totalPowerW0W
    meter Loading · rows · entry 5 · conductance Ratio AlphameterLoading/rows/5/conductanceRatioAlpha5/41 (dimensionless)
    meter Loading · rows · entry 5 · input Conductance SmeterLoading/rows/5/inputConductanceS1/9600S
    meter Loading · rows · entry 5 · input Resistance OhmmeterLoading/rows/5/inputResistanceOhm9600Ω
    meter Loading · rows · entry 5 · node Voltage VmeterLoading/rows/5/nodeVoltageV96/17V
    meter Loading · rows · entry 5 · source Current AmeterLoading/rows/5/sourceCurrentA-9/8500A
    meter Loading · rows · entry 5 · top Current AmeterLoading/rows/5/topCurrentA9/8500A
    meter Loading · rows · entry 5 · bottom Current AmeterLoading/rows/5/bottomCurrentA1/2125A
    meter Loading · rows · entry 5 · meter Current AmeterLoading/rows/5/meterCurrentA1/1700A
    meter Loading · rows · entry 5 · absorbed Powers W · entry 0meterLoading/rows/5/absorbedPowersW/0-27/2125W
    meter Loading · rows · entry 5 · absorbed Powers W · entry 1meterLoading/rows/5/absorbedPowersW/1243/36125W
    meter Loading · rows · entry 5 · absorbed Powers W · entry 2meterLoading/rows/5/absorbedPowersW/296/36125W
    meter Loading · rows · entry 5 · absorbed Powers W · entry 3meterLoading/rows/5/absorbedPowersW/324/7225W
    meter Loading · rows · entry 5 · kcl Residual AmeterLoading/rows/5/kclResidualA0A
    meter Loading · rows · entry 5 · total Power WmeterLoading/rows/5/totalPowerW0W
    meter Loading · rows · entry 6 · conductance Ratio AlphameterLoading/rows/6/conductanceRatioAlpha3/21 (dimensionless)
    meter Loading · rows · entry 6 · input Conductance SmeterLoading/rows/6/inputConductanceS1/8000S
    meter Loading · rows · entry 6 · input Resistance OhmmeterLoading/rows/6/inputResistanceOhm8000Ω
    meter Loading · rows · entry 6 · node Voltage VmeterLoading/rows/6/nodeVoltageV16/3V
    meter Loading · rows · entry 6 · source Current AmeterLoading/rows/6/sourceCurrentA-1/900A
    meter Loading · rows · entry 6 · top Current AmeterLoading/rows/6/topCurrentA1/900A
    meter Loading · rows · entry 6 · bottom Current AmeterLoading/rows/6/bottomCurrentA1/2250A
    meter Loading · rows · entry 6 · meter Current AmeterLoading/rows/6/meterCurrentA1/1500A
    meter Loading · rows · entry 6 · absorbed Powers W · entry 0meterLoading/rows/6/absorbedPowersW/0-1/75W
    meter Loading · rows · entry 6 · absorbed Powers W · entry 1meterLoading/rows/6/absorbedPowersW/11/135W
    meter Loading · rows · entry 6 · absorbed Powers W · entry 2meterLoading/rows/6/absorbedPowersW/28/3375W
    meter Loading · rows · entry 6 · absorbed Powers W · entry 3meterLoading/rows/6/absorbedPowersW/34/1125W
    meter Loading · rows · entry 6 · kcl Residual AmeterLoading/rows/6/kclResidualA0A
    meter Loading · rows · entry 6 · total Power WmeterLoading/rows/6/totalPowerW0W
    meter Loading · rows · entry 7 · conductance Ratio AlphameterLoading/rows/7/conductanceRatioAlpha7/41 (dimensionless)
    meter Loading · rows · entry 7 · input Conductance SmeterLoading/rows/7/inputConductanceS7/48000S
    meter Loading · rows · entry 7 · input Resistance OhmmeterLoading/rows/7/inputResistanceOhm48000/7Ω
    meter Loading · rows · entry 7 · node Voltage VmeterLoading/rows/7/nodeVoltageV96/19V
    meter Loading · rows · entry 7 · source Current AmeterLoading/rows/7/sourceCurrentA-11/9500A
    meter Loading · rows · entry 7 · top Current AmeterLoading/rows/7/topCurrentA11/9500A
    meter Loading · rows · entry 7 · bottom Current AmeterLoading/rows/7/bottomCurrentA1/2375A
    meter Loading · rows · entry 7 · meter Current AmeterLoading/rows/7/meterCurrentA7/9500A
    meter Loading · rows · entry 7 · absorbed Powers W · entry 0meterLoading/rows/7/absorbedPowersW/0-33/2375W
    meter Loading · rows · entry 7 · absorbed Powers W · entry 1meterLoading/rows/7/absorbedPowersW/1363/45125W
    meter Loading · rows · entry 7 · absorbed Powers W · entry 2meterLoading/rows/7/absorbedPowersW/296/45125W
    meter Loading · rows · entry 7 · absorbed Powers W · entry 3meterLoading/rows/7/absorbedPowersW/3168/45125W
    meter Loading · rows · entry 7 · kcl Residual AmeterLoading/rows/7/kclResidualA0A
    meter Loading · rows · entry 7 · total Power WmeterLoading/rows/7/totalPowerW0W
    meter Loading · rows · entry 8 · conductance Ratio AlphameterLoading/rows/8/conductanceRatioAlpha21 (dimensionless)
    meter Loading · rows · entry 8 · input Conductance SmeterLoading/rows/8/inputConductanceS1/6000S
    meter Loading · rows · entry 8 · input Resistance OhmmeterLoading/rows/8/inputResistanceOhm6000Ω
    meter Loading · rows · entry 8 · node Voltage VmeterLoading/rows/8/nodeVoltageV24/5V
    meter Loading · rows · entry 8 · source Current AmeterLoading/rows/8/sourceCurrentA-3/2500A
    meter Loading · rows · entry 8 · top Current AmeterLoading/rows/8/topCurrentA3/2500A
    meter Loading · rows · entry 8 · bottom Current AmeterLoading/rows/8/bottomCurrentA1/2500A
    meter Loading · rows · entry 8 · meter Current AmeterLoading/rows/8/meterCurrentA1/1250A
    meter Loading · rows · entry 8 · absorbed Powers W · entry 0meterLoading/rows/8/absorbedPowersW/0-9/625W
    meter Loading · rows · entry 8 · absorbed Powers W · entry 1meterLoading/rows/8/absorbedPowersW/127/3125W
    meter Loading · rows · entry 8 · absorbed Powers W · entry 2meterLoading/rows/8/absorbedPowersW/26/3125W
    meter Loading · rows · entry 8 · absorbed Powers W · entry 3meterLoading/rows/8/absorbedPowersW/312/3125W
    meter Loading · rows · entry 8 · kcl Residual AmeterLoading/rows/8/kclResidualA0A
    meter Loading · rows · entry 8 · total Power WmeterLoading/rows/8/totalPowerW0W
    meter Loading · rows · entry 9 · conductance Ratio AlphameterLoading/rows/9/conductanceRatioAlpha9/41 (dimensionless)
    meter Loading · rows · entry 9 · input Conductance SmeterLoading/rows/9/inputConductanceS3/16000S
    meter Loading · rows · entry 9 · input Resistance OhmmeterLoading/rows/9/inputResistanceOhm16000/3Ω
    meter Loading · rows · entry 9 · node Voltage VmeterLoading/rows/9/nodeVoltageV32/7V
    meter Loading · rows · entry 9 · source Current AmeterLoading/rows/9/sourceCurrentA-13/10500A
    meter Loading · rows · entry 9 · top Current AmeterLoading/rows/9/topCurrentA13/10500A
    meter Loading · rows · entry 9 · bottom Current AmeterLoading/rows/9/bottomCurrentA1/2625A
    meter Loading · rows · entry 9 · meter Current AmeterLoading/rows/9/meterCurrentA3/3500A
    meter Loading · rows · entry 9 · absorbed Powers W · entry 0meterLoading/rows/9/absorbedPowersW/0-13/875W
    meter Loading · rows · entry 9 · absorbed Powers W · entry 1meterLoading/rows/9/absorbedPowersW/1169/18375W
    meter Loading · rows · entry 9 · absorbed Powers W · entry 2meterLoading/rows/9/absorbedPowersW/232/18375W
    meter Loading · rows · entry 9 · absorbed Powers W · entry 3meterLoading/rows/9/absorbedPowersW/324/6125W
    meter Loading · rows · entry 9 · kcl Residual AmeterLoading/rows/9/kclResidualA0A
    meter Loading · rows · entry 9 · total Power WmeterLoading/rows/9/totalPowerW0W
    meter Loading · rows · entry 10 · conductance Ratio AlphameterLoading/rows/10/conductanceRatioAlpha5/21 (dimensionless)
    meter Loading · rows · entry 10 · input Conductance SmeterLoading/rows/10/inputConductanceS1/4800S
    meter Loading · rows · entry 10 · input Resistance OhmmeterLoading/rows/10/inputResistanceOhm4800Ω
    meter Loading · rows · entry 10 · node Voltage VmeterLoading/rows/10/nodeVoltageV48/11V
    meter Loading · rows · entry 10 · source Current AmeterLoading/rows/10/sourceCurrentA-7/5500A
    meter Loading · rows · entry 10 · top Current AmeterLoading/rows/10/topCurrentA7/5500A
    meter Loading · rows · entry 10 · bottom Current AmeterLoading/rows/10/bottomCurrentA1/2750A
    meter Loading · rows · entry 10 · meter Current AmeterLoading/rows/10/meterCurrentA1/1100A
    meter Loading · rows · entry 10 · absorbed Powers W · entry 0meterLoading/rows/10/absorbedPowersW/0-21/1375W
    meter Loading · rows · entry 10 · absorbed Powers W · entry 1meterLoading/rows/10/absorbedPowersW/1147/15125W
    meter Loading · rows · entry 10 · absorbed Powers W · entry 2meterLoading/rows/10/absorbedPowersW/224/15125W
    meter Loading · rows · entry 10 · absorbed Powers W · entry 3meterLoading/rows/10/absorbedPowersW/312/3025W
    meter Loading · rows · entry 10 · kcl Residual AmeterLoading/rows/10/kclResidualA0A
    meter Loading · rows · entry 10 · total Power WmeterLoading/rows/10/totalPowerW0W
    meter Loading · rows · entry 11 · conductance Ratio AlphameterLoading/rows/11/conductanceRatioAlpha11/41 (dimensionless)
    meter Loading · rows · entry 11 · input Conductance SmeterLoading/rows/11/inputConductanceS11/48000S
    meter Loading · rows · entry 11 · input Resistance OhmmeterLoading/rows/11/inputResistanceOhm48000/11Ω
    meter Loading · rows · entry 11 · node Voltage VmeterLoading/rows/11/nodeVoltageV96/23V
    meter Loading · rows · entry 11 · source Current AmeterLoading/rows/11/sourceCurrentA-3/2300A
    meter Loading · rows · entry 11 · top Current AmeterLoading/rows/11/topCurrentA3/2300A
    meter Loading · rows · entry 11 · bottom Current AmeterLoading/rows/11/bottomCurrentA1/2875A
    meter Loading · rows · entry 11 · meter Current AmeterLoading/rows/11/meterCurrentA11/11500A
    meter Loading · rows · entry 11 · absorbed Powers W · entry 0meterLoading/rows/11/absorbedPowersW/0-9/575W
    meter Loading · rows · entry 11 · absorbed Powers W · entry 1meterLoading/rows/11/absorbedPowersW/127/2645W
    meter Loading · rows · entry 11 · absorbed Powers W · entry 2meterLoading/rows/11/absorbedPowersW/296/66125W
    meter Loading · rows · entry 11 · absorbed Powers W · entry 3meterLoading/rows/11/absorbedPowersW/3264/66125W
    meter Loading · rows · entry 11 · kcl Residual AmeterLoading/rows/11/kclResidualA0A
    meter Loading · rows · entry 11 · total Power WmeterLoading/rows/11/totalPowerW0W
    meter Loading · rows · entry 12 · conductance Ratio AlphameterLoading/rows/12/conductanceRatioAlpha31 (dimensionless)
    meter Loading · rows · entry 12 · input Conductance SmeterLoading/rows/12/inputConductanceS1/4000S
    meter Loading · rows · entry 12 · input Resistance OhmmeterLoading/rows/12/inputResistanceOhm4000Ω
    meter Loading · rows · entry 12 · node Voltage VmeterLoading/rows/12/nodeVoltageV4V
    meter Loading · rows · entry 12 · source Current AmeterLoading/rows/12/sourceCurrentA-1/750A
    meter Loading · rows · entry 12 · top Current AmeterLoading/rows/12/topCurrentA1/750A
    meter Loading · rows · entry 12 · bottom Current AmeterLoading/rows/12/bottomCurrentA1/3000A
    meter Loading · rows · entry 12 · meter Current AmeterLoading/rows/12/meterCurrentA1/1000A
    meter Loading · rows · entry 12 · absorbed Powers W · entry 0meterLoading/rows/12/absorbedPowersW/0-2/125W
    meter Loading · rows · entry 12 · absorbed Powers W · entry 1meterLoading/rows/12/absorbedPowersW/14/375W
    meter Loading · rows · entry 12 · absorbed Powers W · entry 2meterLoading/rows/12/absorbedPowersW/21/750W
    meter Loading · rows · entry 12 · absorbed Powers W · entry 3meterLoading/rows/12/absorbedPowersW/31/250W
    meter Loading · rows · entry 12 · kcl Residual AmeterLoading/rows/12/kclResidualA0A
    meter Loading · rows · entry 12 · total Power WmeterLoading/rows/12/totalPowerW0W
    meter Loading · rows · entry 13 · conductance Ratio AlphameterLoading/rows/13/conductanceRatioAlpha13/41 (dimensionless)
    meter Loading · rows · entry 13 · input Conductance SmeterLoading/rows/13/inputConductanceS13/48000S
    meter Loading · rows · entry 13 · input Resistance OhmmeterLoading/rows/13/inputResistanceOhm48000/13Ω
    meter Loading · rows · entry 13 · node Voltage VmeterLoading/rows/13/nodeVoltageV96/25V
    meter Loading · rows · entry 13 · source Current AmeterLoading/rows/13/sourceCurrentA-17/12500A
    meter Loading · rows · entry 13 · top Current AmeterLoading/rows/13/topCurrentA17/12500A
    meter Loading · rows · entry 13 · bottom Current AmeterLoading/rows/13/bottomCurrentA1/3125A
    meter Loading · rows · entry 13 · meter Current AmeterLoading/rows/13/meterCurrentA13/12500A
    meter Loading · rows · entry 13 · absorbed Powers W · entry 0meterLoading/rows/13/absorbedPowersW/0-51/3125W
    meter Loading · rows · entry 13 · absorbed Powers W · entry 1meterLoading/rows/13/absorbedPowersW/1867/78125W
    meter Loading · rows · entry 13 · absorbed Powers W · entry 2meterLoading/rows/13/absorbedPowersW/296/78125W
    meter Loading · rows · entry 13 · absorbed Powers W · entry 3meterLoading/rows/13/absorbedPowersW/3312/78125W
    meter Loading · rows · entry 13 · kcl Residual AmeterLoading/rows/13/kclResidualA0A
    meter Loading · rows · entry 13 · total Power WmeterLoading/rows/13/totalPowerW0W
    meter Loading · rows · entry 14 · conductance Ratio AlphameterLoading/rows/14/conductanceRatioAlpha7/21 (dimensionless)
    meter Loading · rows · entry 14 · input Conductance SmeterLoading/rows/14/inputConductanceS7/24000S
    meter Loading · rows · entry 14 · input Resistance OhmmeterLoading/rows/14/inputResistanceOhm24000/7Ω
    meter Loading · rows · entry 14 · node Voltage VmeterLoading/rows/14/nodeVoltageV48/13V
    meter Loading · rows · entry 14 · source Current AmeterLoading/rows/14/sourceCurrentA-9/6500A
    meter Loading · rows · entry 14 · top Current AmeterLoading/rows/14/topCurrentA9/6500A
    meter Loading · rows · entry 14 · bottom Current AmeterLoading/rows/14/bottomCurrentA1/3250A
    meter Loading · rows · entry 14 · meter Current AmeterLoading/rows/14/meterCurrentA7/6500A
    meter Loading · rows · entry 14 · absorbed Powers W · entry 0meterLoading/rows/14/absorbedPowersW/0-27/1625W
    meter Loading · rows · entry 14 · absorbed Powers W · entry 1meterLoading/rows/14/absorbedPowersW/1243/21125W
    meter Loading · rows · entry 14 · absorbed Powers W · entry 2meterLoading/rows/14/absorbedPowersW/224/21125W
    meter Loading · rows · entry 14 · absorbed Powers W · entry 3meterLoading/rows/14/absorbedPowersW/384/21125W
    meter Loading · rows · entry 14 · kcl Residual AmeterLoading/rows/14/kclResidualA0A
    meter Loading · rows · entry 14 · total Power WmeterLoading/rows/14/totalPowerW0W
    meter Loading · rows · entry 15 · conductance Ratio AlphameterLoading/rows/15/conductanceRatioAlpha15/41 (dimensionless)
    meter Loading · rows · entry 15 · input Conductance SmeterLoading/rows/15/inputConductanceS1/3200S
    meter Loading · rows · entry 15 · input Resistance OhmmeterLoading/rows/15/inputResistanceOhm3200Ω
    meter Loading · rows · entry 15 · node Voltage VmeterLoading/rows/15/nodeVoltageV32/9V
    meter Loading · rows · entry 15 · source Current AmeterLoading/rows/15/sourceCurrentA-19/13500A
    meter Loading · rows · entry 15 · top Current AmeterLoading/rows/15/topCurrentA19/13500A
    meter Loading · rows · entry 15 · bottom Current AmeterLoading/rows/15/bottomCurrentA1/3375A
    meter Loading · rows · entry 15 · meter Current AmeterLoading/rows/15/meterCurrentA1/900A
    meter Loading · rows · entry 15 · absorbed Powers W · entry 0meterLoading/rows/15/absorbedPowersW/0-19/1125W
    meter Loading · rows · entry 15 · absorbed Powers W · entry 1meterLoading/rows/15/absorbedPowersW/1361/30375W
    meter Loading · rows · entry 15 · absorbed Powers W · entry 2meterLoading/rows/15/absorbedPowersW/232/30375W
    meter Loading · rows · entry 15 · absorbed Powers W · entry 3meterLoading/rows/15/absorbedPowersW/38/2025W
    meter Loading · rows · entry 15 · kcl Residual AmeterLoading/rows/15/kclResidualA0A
    meter Loading · rows · entry 15 · total Power WmeterLoading/rows/15/totalPowerW0W
    meter Loading · rows · entry 16 · conductance Ratio AlphameterLoading/rows/16/conductanceRatioAlpha41 (dimensionless)
    meter Loading · rows · entry 16 · input Conductance SmeterLoading/rows/16/inputConductanceS1/3000S
    meter Loading · rows · entry 16 · input Resistance OhmmeterLoading/rows/16/inputResistanceOhm3000Ω
    meter Loading · rows · entry 16 · node Voltage VmeterLoading/rows/16/nodeVoltageV24/7V
    meter Loading · rows · entry 16 · source Current AmeterLoading/rows/16/sourceCurrentA-1/700A
    meter Loading · rows · entry 16 · top Current AmeterLoading/rows/16/topCurrentA1/700A
    meter Loading · rows · entry 16 · bottom Current AmeterLoading/rows/16/bottomCurrentA1/3500A
    meter Loading · rows · entry 16 · meter Current AmeterLoading/rows/16/meterCurrentA1/875A
    meter Loading · rows · entry 16 · absorbed Powers W · entry 0meterLoading/rows/16/absorbedPowersW/0-3/175W
    meter Loading · rows · entry 16 · absorbed Powers W · entry 1meterLoading/rows/16/absorbedPowersW/13/245W
    meter Loading · rows · entry 16 · absorbed Powers W · entry 2meterLoading/rows/16/absorbedPowersW/26/6125W
    meter Loading · rows · entry 16 · absorbed Powers W · entry 3meterLoading/rows/16/absorbedPowersW/324/6125W
    meter Loading · rows · entry 16 · kcl Residual AmeterLoading/rows/16/kclResidualA0A
    meter Loading · rows · entry 16 · total Power WmeterLoading/rows/16/totalPowerW0W
    meter Loading · worked Relative Voltage ChangemeterLoading/workedRelativeVoltageChange1/41 (dimensionless)
    ideal Constraints · parallel Different Voltage · assigned Voltages V · entry 0idealConstraints/parallelDifferentVoltage/assignedVoltagesV/05V
    ideal Constraints · parallel Different Voltage · assigned Voltages V · entry 1idealConstraints/parallelDifferentVoltage/assignedVoltagesV/17V
    ideal Constraints · parallel Different Voltage · constraint RankidealConstraints/parallelDifferentVoltage/constraintRank11 (dimensionless)
    ideal Constraints · parallel Different Voltage · augmented RankidealConstraints/parallelDifferentVoltage/augmentedRank21 (dimensionless)
    ideal Constraints · parallel Equal Voltage · assigned Voltages V · entry 0idealConstraints/parallelEqualVoltage/assignedVoltagesV/05V
    ideal Constraints · parallel Equal Voltage · assigned Voltages V · entry 1idealConstraints/parallelEqualVoltage/assignedVoltagesV/15V
    ideal Constraints · parallel Equal Voltage · load Resistance OhmidealConstraints/parallelEqualVoltage/loadResistanceOhm5Ω
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 0 · free Source Current AidealConstraints/parallelEqualVoltage/sharingRows/0/freeSourceCurrentA-2A
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 0 · passive Currents A · entry 0idealConstraints/parallelEqualVoltage/sharingRows/0/passiveCurrentsA/0-2A
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 0 · passive Currents A · entry 1idealConstraints/parallelEqualVoltage/sharingRows/0/passiveCurrentsA/11A
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 0 · passive Currents A · entry 2idealConstraints/parallelEqualVoltage/sharingRows/0/passiveCurrentsA/21A
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 0 · absorbed Powers W · entry 0idealConstraints/parallelEqualVoltage/sharingRows/0/absorbedPowersW/0-10W
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 0 · absorbed Powers W · entry 1idealConstraints/parallelEqualVoltage/sharingRows/0/absorbedPowersW/15W
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 0 · absorbed Powers W · entry 2idealConstraints/parallelEqualVoltage/sharingRows/0/absorbedPowersW/25W
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 0 · node Residual AidealConstraints/parallelEqualVoltage/sharingRows/0/nodeResidualA0A
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 0 · power Residual WidealConstraints/parallelEqualVoltage/sharingRows/0/powerResidualW0W
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 1 · free Source Current AidealConstraints/parallelEqualVoltage/sharingRows/1/freeSourceCurrentA-1A
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 1 · passive Currents A · entry 0idealConstraints/parallelEqualVoltage/sharingRows/1/passiveCurrentsA/0-1A
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 1 · passive Currents A · entry 1idealConstraints/parallelEqualVoltage/sharingRows/1/passiveCurrentsA/10A
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 1 · passive Currents A · entry 2idealConstraints/parallelEqualVoltage/sharingRows/1/passiveCurrentsA/21A
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 1 · absorbed Powers W · entry 0idealConstraints/parallelEqualVoltage/sharingRows/1/absorbedPowersW/0-5W
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 1 · absorbed Powers W · entry 1idealConstraints/parallelEqualVoltage/sharingRows/1/absorbedPowersW/10W
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 1 · absorbed Powers W · entry 2idealConstraints/parallelEqualVoltage/sharingRows/1/absorbedPowersW/25W
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 1 · node Residual AidealConstraints/parallelEqualVoltage/sharingRows/1/nodeResidualA0A
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 1 · power Residual WidealConstraints/parallelEqualVoltage/sharingRows/1/powerResidualW0W
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 2 · free Source Current AidealConstraints/parallelEqualVoltage/sharingRows/2/freeSourceCurrentA0A
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 2 · passive Currents A · entry 0idealConstraints/parallelEqualVoltage/sharingRows/2/passiveCurrentsA/00A
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 2 · passive Currents A · entry 1idealConstraints/parallelEqualVoltage/sharingRows/2/passiveCurrentsA/1-1A
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 2 · passive Currents A · entry 2idealConstraints/parallelEqualVoltage/sharingRows/2/passiveCurrentsA/21A
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 2 · absorbed Powers W · entry 0idealConstraints/parallelEqualVoltage/sharingRows/2/absorbedPowersW/00W
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 2 · absorbed Powers W · entry 1idealConstraints/parallelEqualVoltage/sharingRows/2/absorbedPowersW/1-5W
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 2 · absorbed Powers W · entry 2idealConstraints/parallelEqualVoltage/sharingRows/2/absorbedPowersW/25W
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 2 · node Residual AidealConstraints/parallelEqualVoltage/sharingRows/2/nodeResidualA0A
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 2 · power Residual WidealConstraints/parallelEqualVoltage/sharingRows/2/powerResidualW0W
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 3 · free Source Current AidealConstraints/parallelEqualVoltage/sharingRows/3/freeSourceCurrentA1A
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 3 · passive Currents A · entry 0idealConstraints/parallelEqualVoltage/sharingRows/3/passiveCurrentsA/01A
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 3 · passive Currents A · entry 1idealConstraints/parallelEqualVoltage/sharingRows/3/passiveCurrentsA/1-2A
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 3 · passive Currents A · entry 2idealConstraints/parallelEqualVoltage/sharingRows/3/passiveCurrentsA/21A
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 3 · absorbed Powers W · entry 0idealConstraints/parallelEqualVoltage/sharingRows/3/absorbedPowersW/05W
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 3 · absorbed Powers W · entry 1idealConstraints/parallelEqualVoltage/sharingRows/3/absorbedPowersW/1-10W
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 3 · absorbed Powers W · entry 2idealConstraints/parallelEqualVoltage/sharingRows/3/absorbedPowersW/25W
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 3 · node Residual AidealConstraints/parallelEqualVoltage/sharingRows/3/nodeResidualA0A
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 3 · power Residual WidealConstraints/parallelEqualVoltage/sharingRows/3/powerResidualW0W
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 4 · free Source Current AidealConstraints/parallelEqualVoltage/sharingRows/4/freeSourceCurrentA2A
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 4 · passive Currents A · entry 0idealConstraints/parallelEqualVoltage/sharingRows/4/passiveCurrentsA/02A
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 4 · passive Currents A · entry 1idealConstraints/parallelEqualVoltage/sharingRows/4/passiveCurrentsA/1-3A
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 4 · passive Currents A · entry 2idealConstraints/parallelEqualVoltage/sharingRows/4/passiveCurrentsA/21A
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 4 · absorbed Powers W · entry 0idealConstraints/parallelEqualVoltage/sharingRows/4/absorbedPowersW/010W
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 4 · absorbed Powers W · entry 1idealConstraints/parallelEqualVoltage/sharingRows/4/absorbedPowersW/1-15W
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 4 · absorbed Powers W · entry 2idealConstraints/parallelEqualVoltage/sharingRows/4/absorbedPowersW/25W
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 4 · node Residual AidealConstraints/parallelEqualVoltage/sharingRows/4/nodeResidualA0A
    ideal Constraints · parallel Equal Voltage · sharing Rows · entry 4 · power Residual WidealConstraints/parallelEqualVoltage/sharingRows/4/powerResidualW0W
    ideal Constraints · series Different Current · entering AidealConstraints/seriesDifferentCurrent/enteringA1A
    ideal Constraints · series Different Current · leaving AidealConstraints/seriesDifferentCurrent/leavingA2A
    ideal Constraints · series Different Current · net Out AidealConstraints/seriesDifferentCurrent/netOutA1A
    propagation Diagnostic · length MpropagationDiagnostic/lengthM3/10m
    propagation Diagnostic · prescribed Speed Mper SpropagationDiagnostic/prescribedSpeedMperS200000000m/s
    propagation Diagnostic · one Way Time SpropagationDiagnostic/oneWayTimeS3/2000000000s
    propagation Diagnostic · slow Rise Time SpropagationDiagnostic/slowRiseTimeS3/100000000s
    propagation Diagnostic · fast Rise Time SpropagationDiagnostic/fastRiseTimeS3/10000000000s
    propagation Diagnostic · slow RatiopropagationDiagnostic/slowRatio1/201 (dimensionless)
    propagation Diagnostic · fast RatiopropagationDiagnostic/fastRatio51 (dimensionless)

    Each graph and exact table scrolls within its own labelled region. Focus the region to use horizontal arrow keys. The data tables retain exact rational values; plotted decimals do not add scientific precision.

    Original divider with and without the specified meter load
    StateReading (V)Top current (A)Meter current (A)
    Ideal open input81/15000
    12 kΩ meter61/10001/2000
    3 kΩ meter (α=4)24/71/7001/875
    25

    Separate reference ground from physical ground

    A zero-potential choice removes a mathematical freedom in a component’s node potentials. Earth, chassis and signal returns are physical conductors with distinct purposes, impedances and possible current paths. Calling a point ground does not make its potential identical at every location or frequency.

    Connecting an instrument return can join nodes that were previously separate. Some instruments have returns connected to chassis or protective earth; isolation must be established from the instrument specification, not inferred from a schematic’s ground icon. Do not defeat protective connections to force a mathematical reference choice.

    The re-referencing calculation above changes no physical connection. By contrast, adding a wire between two actual nodes imposes a voltage constraint and may change source currents or create inconsistency. A drawing that makes two returns look close is not enough to decide whether they are connected; node identity must be stated explicitly.

    26

    Follow the voltmeter lead path

    For two fixed paths C1 and C2 from a to b, define D1=∫_C1 E·dl and D2=∫_C2 E·dl. With the positive closed contour C1 followed by reversed C2, Faraday’s law gives D1−D2=−dΦ/dt. These are explicitly routed drops; a changing linked flux prevents a universal path-independent value from being assigned to every possible lead route.

    For the separate original control, dΦ/dt=3/5 Wb/s and D2=2 V, so D1=7/5 V. Their difference is −3/5 V. The contour orientation is essential: reversing the entire contour reverses the signed flux and the difference together. One does not fix the sign by saying only that a field is increasing.

    An actual voltmeter includes its lead pair, internal return path, input impedance and bandwidth. The ideal path-integral control isolates the field-routing effect; it is not a complete instrument model. Closely routed outgoing and return leads can reduce unwanted loop area, but no unspecified field geometry or universal measurement-error value is assumed here.

    27

    Know when a lumped model ends

    A useful propagation diagnostic is η=ℓ/(v_propτ), where ℓ is the relevant path size, v_prop the propagation speed and τ the fastest relevant variation time. Neglect of delay needs η≪1. For a sinusoid the comparable phase parameter is ωℓ/v_prop. There is no universal frequency threshold independent of dimensions, material, required accuracy and waveform rise time.

    In the original illustrative control, ℓ=3/10 m and the prescribed speed is 2×10⁸ m/s, giving a one-way delay of 3/2 ns. A 30 ns rise time gives η=1/20; a 3/10 ns rise time gives η=5. The first ratio alone is not proof of a particular error tolerance, while the second is incompatible with treating both ends as responding instantaneously on that rise-time scale.

    Even small delay does not eliminate parasitic inductance, capacitance, coupling, return-path impedance or radiation. Refine a wire to an appropriate impedance, introduce a node capacitance or mutual/induced element, or use transmission-line and field variables when necessary. Preserve conservation and defined measurement ports rather than stretching a single ideal node over a distributed system.

    28

    Connect the laws without duplicating the next lessons

    Graph power balance accounts for energy transfer between selected element boundaries. It does not assert that electromagnetic energy physically travels only along electron drift paths. Field energy can cross the space around conductors or between capacitor plates; terminal vi is a useful integrated description when the chosen port model applies.

    The topology proof can support later nonlinear, controlled-source and dynamic circuits without assuming that all such circuits are linear or reciprocal. For a multiport element, sum the associated v_ki_k over its defined ports before interpreting its total input. Missing an electrically relevant terminal, storage degree of freedom or mechanical/chemical energy exchange can make an otherwise tidy ledger incomplete.

    The next lesson develops systematic DC reductions and network theorems; the following lesson solves RC and RL transients with initial conditions. Here the durable skills are to choose references, close the graph with the right element laws, test each residual, interpret power and check the boundary of the model. Exact arithmetic supports those tasks; it does not replace them.

    Worked examples

    Two negative reference values

    A generic port has associated v=−4 V and i=−3/10 A. Is it delivering power? What changes if both references are reversed?

    1. Multiply the signed values with the associated convention: p=(−4 V)(−3/10 A)=+6/5 W.
    2. Positive absorbed power means input to the element. Negative current merely reverses the conventional direction relative to the chosen arrow.
    3. Reverse both references: v′=+4 V and i′=+3/10 A. Their product is again +6/5 W.

    It absorbs 6/5 W. Reversing both references changes neither its physical behavior nor absorbed power.

    Solve the original multi-node network

    For the eight-branch network with J_s=3/2 A, find e_b,e_c and the b4 resistor current, retaining the original references.

    1. KCL at b gives (11/18 S)e_b−(1/3 S)e_c=1/2 A. KCL at c gives −(1/3 S)e_b+(2/3 S)e_c=9/4 A.
    2. Multiplying the equations by 18 Ω and 12 Ω respectively gives 11e_b−6e_c=9 V and −4e_b+8e_c=27 V.
    3. Eliminate one unknown to obtain e_b=117/32 V and e_c=333/64 V.
    4. For b4 use its associated voltage e_b−e_c=−99/64 V, then divide by 3 Ω.

    e_b=117/32 V, e_c=333/64 V, and i_b4=−33/64 A. Conventional current flows c→b; R remains positive.

    A source absorbs power inside a balanced network

    Use the worked state to determine the 3 V source power and reconcile all source and resistor powers.

    1. The c→d resistor has drop e_c−3 V=141/64 V. Its 4 Ω resistance gives i_b5=141/256 A.
    2. KCL at d sets i_b1=i_b5. Since v_b1=3 V, p_b1=423/256 W is positive.
    3. The 12 V constraint and current constraint have absorbed powers −267/16 W and −297/128 W. Their combined delivery is 2433/128 W.
    4. The five resistor powers sum to 4443/256 W. Adding the 3 V constraint absorption 423/256 W gives 4866/256 W=2433/128 W.

    The 3 V constraint absorbs 423/256 W. All eight signed absorbed powers sum exactly to zero; source delivery is not synonymous with every source symbol.

    Move storage into an explicit capacitor branch

    A physical region receives 5 mA and 3 mA and emits 6 mA. Represent its storage with a 4 nF capacitor at v=3/2 V and find dv/dt and power.

    1. Net incoming conduction current is 5+3−6=2 mA, so physical dQ/dt=2 mC/s.
    2. At an ideal zero-storage junction add an outgoing capacitor branch i_C=2 mA. Its KCL sum is −5−3+6+2=0 mA.
    3. Use i_C=C dv/dt: dv/dt=(2×10⁻³ A)/(4×10⁻⁹ F)=500000 V/s.
    4. At this instant p_C=v i_C=3 mW and W_C=Cv²/2=9/2 nJ. Do not add dQ/dt a second time to the ideal junction.

    dv/dt=500000 V/s and p_C=+3 mW. The physical-region equation and the ideal-node-plus-capacitor equation describe alternative storage boundaries.

    A zero pairing that is not actual resistor power

    Pair branch voltages from J_s=1/4 A with currents from J_s=7/4 A. Why can the b4 product be negative while the total is zero?

    1. Each voltage vector is in im(Aᵀ); each current vector is in ker(A). Therefore the cross pairing is e_firstᵀA i_second=0.
    2. The model retains all eight cross terms. For b4 the product is −363/512 in watt dimensions.
    3. The voltage and current are from different DC settings and generally fail v=Ri when paired on that resistor.

    The sum is zero by topology. The b4 cross term is not physical absorbed power at a common state, so it does not describe a positive resistor delivering energy.

    Include an induced source without cancelling Faraday’s law

    A fixed positive CCW loop has dΦ/dt=3/5 Wb/s and R=3 Ω. Find its current and port-power balance. Also compare routed drops when D2=2 V for the same signed flux rate.

    1. Faraday gives e_ind=−3/5 V and I=e_ind/R=−1/5 A. This is clockwise relative to the chosen loop.
    2. The resistor passive drop is −3/5 V and the assigned emf-element passive drop is +3/5 V, so their circuit-voltage sum is zero.
    3. The resistor absorbs 3/25 W and the assigned source delivers 3/25 W. The source represents the prescribed external flux drive, not a globally conservative E field.
    4. For the closed contour C1−C2, D1−D2=−3/5 V. Therefore D1=2 V−3/5 V=7/5 V.

    I=−1/5 A with zero total signed port power. Routed drops differ by −3/5 V; the algebraic source assignment does not set the physical electric circulation to zero.

    A voltmeter changes the value it reads

    A 12 V divider uses 6 kΩ above and 12 kΩ below its output. What does a 12 kΩ input voltmeter read, and what is the relative change from an ideal open-input reading?

    1. The open-input output is 12 V×12000/(6000+12000)=8 V.
    2. With the meter connected, the lower resistor and meter are parallel: their combined resistance is 6000 Ω.
    3. The output is then 12 V×6000/(6000+6000)=6 V. Meter current is 6 V/(12000 Ω)=1/2000 A and top current is 1/1000 A.
    4. The relative decrease from the open-input reading is (8−6)/8=1/4. This is a defined loading effect, not an unexplained measurement tolerance.

    The finite-input meter reads 6 V, 25% below the ideal open-input 8 V. Its current and 3 mW input power belong in the model.

    Try it yourself

    1. Use the original generic-port controls to identify p for v=+4 V,i=−3/10 A and explain the sign.

      Show the answer and reasoning

      p=−6/5 W, so the element delivers power under the associated references.

      The current enters the assigned + terminal only when its signed value is positive. Here it is negative; the product, not the source/passive name, sets the instantaneous energy-transfer sign.

    2. Reverse both b4 references in the worked network. Give v′,i′,p′.

      Show the answer and reasoning

      v′=99/64 V,i′=33/64 A,p′=3267/4096 W.

      Both signs reverse while their product is unchanged. The graph incidence/cycle column for b4 must also reverse, so equations still refer to the same physical branch.

    3. Verify KCL at b in the worked state using outgoing currents.

      Show the answer and reasoning

      −89/64+13/32−33/64+3/2=0 A.

      b2 enters b, so it contributes −i_b2; b3,b4,b7 use their original outgoing references. The negative b4 result is retained rather than replaced by its magnitude.

    4. What is p_b1 for the 3 V constraint in the worked state? Is the ideal-source model a complete battery-charging law?

      Show the answer and reasoning

      p_b1=423/256 W absorbed. No complete battery-charging law follows.

      The current 141/256 A enters its assigned positive terminal. State of charge, chemistry, efficiency and operating limits require additional constitutive information.

    5. At what source-current setting does the original b4 resistor current vanish? What are e_b and e_c there?

      Show the answer and reasoning

      J_s=3/4 A and e_b=e_c=9/2 V.

      Set e_b=e_c in the original two nodal equations and solve for the same current-source setting. Zero resistor voltage gives zero current because R_b4=3 Ω; the parallel current constraint can still carry 3/4 A.

    6. An abstract graph has n=7 nodes,m=8 branches and c=2 connected components. What are rank(A) and the cycle-space dimension?

      Show the answer and reasoning

      rank(A)=5 and dim ker(A)=3.

      Use n−c and m−n+c. Each component needs an independent reference choice. These topological counts alone do not establish compatibility of the element constraints.

    7. Keep the worked currents fixed but add +1 V only to the assigned b7 voltage. What happens to the total pairing and cycle compatibility?

      Show the answer and reasoning

      The total pairing becomes +3/2 W and the b7−b4 cycle sum becomes +1 V.

      Only the b7 product changes, and i_b7=3/2 A. The new voltage vector is outside the graph cut space; a power mismatch diagnoses this particular inconsistent assignment.

    8. For the storage control, why is adding both i_C and the same dQ/dt to ideal-node KCL wrong? Give the residual.

      Show the answer and reasoning

      It doublecounts the same storage and leaves +1/500 A.

      The physical-region equation uses dQ/dt; the alternative ideal-node equation uses the explicit capacitor branch. Their simultaneous inclusion gives −5−3+6+2+2=2 mA rather than zero.

    9. At the capacitor snapshot, distinguish stored energy from absorbed power.

      Show the answer and reasoning

      Stored energy is 9/2 nJ; absorbed power is 3 mW.

      Cv²/2 has joule units and vi has watt units. Positive power is the instantaneous rate of ideal electrical storage here, not a statement that the capacitor dissipates heat.

    10. For L=3/5 H,i=−2 A and di/dt=1/4 A/s, find v,p and stored energy. Does negative p violate passivity?

      Show the answer and reasoning

      v=3/20 V,p=−3/10 W,W=6/5 J. It does not violate passivity.

      The fixed linear inductor relation gives v=L di/dt. Its energy decreases at Li di/dt=−3/10 W; it returns some initially stored energy while current magnitude decreases.

    11. Does a zero mixed-state Tellegen sum prove that every mixed(v,i) pair obeys its element law?

      Show the answer and reasoning

      No.

      The theorem needs compatible topology, not constitutive pairing. The retained b4 cross product −363/512 has watt dimensions but is not a physical positive-resistor power at one simultaneous state.

    12. For the original positive contour, what is D1−D2 when dΦ/dt=3/5 Wb/s? Would a bare globally scalar voltage model capture every lead route?

      Show the answer and reasoning

      D1−D2=−3/5 V. A bare globally scalar voltage model would not capture those linked paths.

      Apply Faraday to C1 followed by reversed C2. An explicit induced-source/path assignment can represent a chosen lumped experiment, but cannot turn nonconservative E into a global gradient.

    13. Distinguish parallel 5 V/7 V constraints from parallel 5 V/5 V constraints feeding the original 5 Ω load.

      Show the answer and reasoning

      The first is inconsistent; the second fixes the load current at 1 A but leaves source sharing nonunique.

      A single node difference cannot equal two different imposed voltages. Equal constraints are redundant, and source currents j and −(1 A)−j all satisfy the same ideal load/node equations.

    14. For the illustrative 0.3 m path at 2×10⁸ m/s, compare 30 ns and 0.3 ns rise times. What do the ratios establish?

      Show the answer and reasoning

      The delay is 1.5 ns; the ratios are 1/20 and 5.

      The fast case cannot be regarded as instantaneous on that time scale. The slow-case ratio alone is not a guaranteed 5% error estimate or proof that stray impedance/coupling is negligible; required accuracy and the actual device model still matter.

    What to carry forward

    • Current and voltage references define positive values; they do not predict the actual direction or sign.
    • With associated references, p=vi is absorbed port power; sources can absorb and passive storage can return energy.
    • Physical charge continuity includes dQ/dt; ideal-node KCL needs a consistent retained-storage boundary.
    • Circuit KVL is compatible branch-voltage bookkeeping; physical Faraday circulation still governs linked fields and paths.
    • A graph needs constitutive relations and domain assumptions as well as Kirchhoff constraints.
    • The original negative resistor current and absorbing 3 V source are consistent parts of one exact balanced DC solution.
    • Cycle and cut spaces are orthogonal; this gives vᵀi=0 for compatible branch vectors on the same graph.
    • A mixed-state zero pairing is not automatically a realizable circuit’s power ledger.
    • Reference ground is a potential choice; physical grounds, meters and returns can change the circuit.
    • Exact arithmetic removes arithmetic roundoff, not uncertainty, missing field physics or ideal-model degeneracy.

    References

    Sources for the concepts and teaching approaches in this article.

    1. MIT6.200S23 Foundations and VocabularyMIT6.200S23 Foundations and VocabularyCourse notes · PDFcircuits.mit.eduRead source
    2. MIT6.200S23 Lumped-Element AbstractionMIT6.200S23 Lumped-Element AbstractionCourse notes · PDFcircuits.mit.eduRead source
    3. MIT6.002 Lecture1 transcriptMIT6.002 Lecture1 transcriptCourse notes · PDFocw.mit.eduRead source
    4. MIT6.002 Lecture2 transcriptMIT6.002 Lecture2 transcriptCourse notes · PDFocw.mit.eduRead source
    5. MIT6.200S26 Big KCL and TellegenMIT6.200S26 Big KCL and TellegenCourse notescircuits.mit.eduRead source
    6. Caltech FeynmanII22 AC CircuitsCaltech FeynmanII22 AC CircuitsTextbook chapterfeynmanlectures.caltech.eduRead source
    7. MIT Haus and Melcher11.0MIT Haus and Melcher11.0Textbook chapterweb.mit.eduRead source
    8. Caltech FeynmanII17 Laws of InductionCaltech FeynmanII17 Laws of InductionTextbook chapterfeynmanlectures.caltech.eduRead source