3-Lesson_Notes_Lecture_23 - Thevenins and Nortons...

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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 VV Solution: Thevenin voltage V th is the open circuit voltage across R.
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I = 80 0 [] o S VV oc V Voc = 18 I total V I Z = 80 0 80 0 80 0 30 18 24 18 6 18.97 18.43 I jj j ∠∠∠ == = +− + DDD D 80 0 4.216 18.43 18.97 18.43 IA ⇒= = D D D 4.216 18.43 18 75.89 18.43 OC × = DD
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This note was uploaded on 01/16/2010 for the course EE ee204 taught by Professor Profosama during the Spring '09 term at King Fahd University of Petroleum & Minerals.

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3-Lesson_Notes_Lecture_23 - Thevenins and Nortons...

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