To determine Calculate the Thevenin equivalent at terminals a-b in the given circuit. Explanation To find the Thevenin voltage V Th : The given circuit is redrawn with reference node and the node voltage V Th as shown in Figure 1. Apply Kirchhoff’s current law at node V Th in Figure 1. V Th 8 + V Th − 24 2 = − 4 − 3 i x V Th 8 + V Th 2 − 24 2 = − 4 − 3 i x 0.625 V Th − 12 = − 4 − 3 i x 0.625 V Th + 3 i x = − 4 + 12 Reduce the equation as follows, 0.625 V Th + 3 i x = 8 (1) In Figure 1, using Ohm’s law for the 8 ohms resistor to find i x . i x = V Th 8 (2) Substitute equation (2) in equation (1). 0.625 V Th + 3 ( V Th 8 ) = 8 0.625 V Th + 0.375 V Th = 8 V Th = 8 V To find the Thevenin resistance R Th : In Figure 1, replace the voltage source with a short circuit, the current source with an open circuit and also apply the test voltage v t in the circuit across the terminals a-b

10th Edition

ISBN: 9780133760033

Author: James W. Nilsson, Susan Riedel

Publisher: PEARSON

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Thevenin Theorem

Any linear circuit, no matter how complex, maybe simplified to an equivalent circuit utilizing only a single voltage source and series resistance coupled to a load, according to Thevenin's Theorem. The superposition principle says that all foundational e…

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Chapter 4.11, Problem 19AP

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Calculate the Thevenin equivalent at terminals a-b in the given circuit.

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Chapter 4.10, Problem 18AP

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