Thevenin / Norton Equivalent Circuit Solver

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Thevenin / Norton Equivalent Circuit Solver

Reduce a source + 3-resistor network to its Thevenin/Norton equivalent, with optional loaded output

Circuit Values
Circuit (terminals A–B, load removed)
Thevenin / Norton Equivalent
Thevenin Voltage Vth
Thevenin Resistance Rth
Norton Current IN
Norton Resistance RN (= Rth)
Circuit modeled: source V through series R1 reaches an internal node; R2 goes from that node to ground (forming a divider), and R3 continues from that node to output terminal A (ground = terminal B). Thevenin voltage Vth is the open-circuit voltage at A-B: since no current flows through R3 with the load removed, Vth = V×R2/(R1+R2). Thevenin resistance Rth is the resistance seen from A-B with the source zeroed (shorted): Rth = R3 + (R1∥R2). Norton equivalent: IN = Vth/Rth, RN = Rth — the two equivalents predict identical behavior for any load. With a load RL entered, load current and voltage are computed directly from the equivalent (I = Vth/(Rth+RL)) rather than re-solving the original network, demonstrating why the simplification is useful.
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