AC Thevenin's Theorem

Any combination of sinusoidal AC sources and impedances with two terminals can be replaced by a single voltage source e and a single series impedance z. The value of e is the open circuit voltage at the terminals, and the value of z is e divided by the current with the terminals short circuited. In this case, that impedance evaluation involves a series-parallel combination.


Thevenin voltageThevenin resistanceNumerical exampleNorton equivalent
to DC Version
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AC Thevenin Example

To replace a network by its Thevenin equivalent, compute the Thevenin voltage: the output of the voltage divider formed by and . The Thevenin impedance is the impedance looking back from AB with replaced by a short circuit and is therefore a a series-parallel combination.

For impedances
= + j
= + j
= + j
with supply voltage
= V,

the Thevenin voltage would be
= + j V
=V at degrees.
The Thevenin impedance is
= + j
= ohms at degrees.
Thevenin resistanceThevenin voltageDC exampleNorton equivalent
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