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Passive DC Node Network Workbench

Solve a small arbitrary resistor topology from fixed DC node voltages and inspect exact KCL and power balances.

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How to use Passive DC Node Network Workbench

Write reduced nodal conductance equations, solve exact rational potentials and calculate oriented branch currents, resistor losses and net boundary power.

  1. Use the example as the schema; replace its labels and entered model assumptions.
  2. Write reduced nodal conductance equations, solve exact rational potentials and calculate oriented branch currents, resistor losses and net boundary power.
  3. Calculate, inspect the complete witnesses and limitations, then copy or download the JSON report.

Good to know

  • 2–12 distinct nodes with at most 8 unknown potentials and 1–30 distinct resistors. Declare at least one zero-volt fixed reference; every unknown component must connect to a fixed potential.
  • Fixed potentials are decimal strings within ±1 million volts; resistances are positive decimal strings at most 1 billion ohms. Exact ideal arithmetic is not a safe operating design, component rating or real-circuit certification. No current/controlled/floating sources, AC, transients or netlist execution.
  • Local calculation with no upload, input persistence or outside lookup. Model JSON is limited to 30,000 characters and 10,000 values. Decimal quantities are strings with up to six places; count fields use plain JSON integers. Exact fractions are capped at 8,192 bits. The complete JSON output is limited to 1,000,000 characters; approximate numbers preserve their stored values. Unsupported states fail explicitly.

Common questions

Can this solve a bridge that is not a simple series or parallel chain?

Yes, within the node/resistor bounds. The conductance equations handle arbitrary passive branches. Fixed node potentials replace boundary voltage sources; a voltage source between two unknown nodes is outside this restricted model.

Are my model inputs saved or sent to a server?

No. This model runs in the current browser tab and creates a local JSON download. It does not save your input or call an external data service.

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