Tekneτέχνη

T-22 · Circuits

Charge on the move.

Kirchhoff's laws are linear equations, so a network of resistors is solved exactly, every current a fraction. Alternating current is the same algebra with i: the impedance is a right triangle, and when the circuit is critically damped every one of them is a Pythagorean triple. Charging a capacitor always loses half the energy.

12 V924/379 A492/379 A900/379 A516/379 A24/379 AA 12 VB 2700/379 VC 2580/379 VD 0 Vblue: each node's voltage, a fractiongreen: each resistor's current, a fractionTEKNE · T-22 CIRCUITS · DIRECT CURRENT12 V · R₁…R₄ = 2, 4, 3, 5 Ω · meter 5 ΩKIRCHHOFF, EXACTLY · R = 379/118 Ω