EE 204
Lecture 23
Thevenin’s and Norton’s Equivalents in Sinusoidal
Circuits
Thevenin’s and Norton’s equivalents circuits are powerful tools for circuit reduction that can
also be applied to frequency domain circuits. The same process is used as seen in lecture 9
except that we substitute impedance (Z) for resistance (R).
th
V
th
Z
a
b
The figure above illustrates the frequency-domain version of a Thevenin equivalent circuit.
The figure below shows a Norton equivalent circuit.
N
I
N
Z
Thevenin voltage and impedance are calculated in the same way as those used with resistive
circuit
except that it involves manipulation of complex quantities.
Example 1:
Find the Thevenin equivalent circuit with respect to the terminals a, b for the circuit
shown
=
80 0 [
]
o
S
V
V
Solution:
Thevenin voltage
V
th
is the open circuit voltage across R.

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