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)
—
With Load Connected
Load Current
—
Load Voltage
—
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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