DC Fundamentals

Kirchhoff's Current Law (KCL) Parallel Node Simulator

Verify charge conservation ∑I_in = ∑I_out at multi-branch T-junctions with animated branch current particles.

Speed
Three parallel branches powered by 5V through identical 150 Ω resistors demonstrate real semiconductor bandgap differences: Red (~1.85V), Green (~2.15V), and Blue (~3.05V)!
● CH1: CH1
● CH2: CH2

Engineering Theory & Mathematical Model

I_source = I_branch1 + I_branch2 + I_branch3

Because electric charge cannot accumulate indefinitely at a mathematical conductor node, the instantaneous current entering any junction equals the sum of currents leaving that junction. Watch how our MNA sub-segment solver computes exact wire currents between every parallel tap!

Interactive Lab Procedure

  1. Hover over the main top feed wire from V1 to read total supply current I_total.
  2. Hover over each of the three parallel resistors (RR, RG, RB) and sum their currents to confirm I_total = IR + IG + IB.
  3. Notice how wire particle density slows step-by-step after each tap!

Technical FAQ

What is the core governing formula for Kirchhoff's Current Law (KCL) Parallel Node Simulator?

I_source = I_branch1 + I_branch2 + I_branch3 — Because electric charge cannot accumulate indefinitely at a mathematical conductor node, the instantaneous current entering any junction equals the sum of currents leaving that junction. Watch how our MNA sub-segment solver computes exact wire currents between every parallel tap!

Can I modify component values and rewire this circuit live?

Yes! The schematic above runs a live MNA SPICE engine. Click any part to adjust parameters, add or delete wires and components, and click Share URL to save your custom topology.

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