To determine Find the Thevenin Voltage and Thevenin resistance at terminals a-b of the circuit. Explanation In the given circuit, V Th = 0 V since there is no independent source in the circuit. Therefore, Thevenin resistance or Norton resistance only need to be find for the given circuit. To find the Thevenin resistance, apply a 1 A test source and calculate the voltage drop across the test source. The given circuit is redrawn as shown in Figure 1 to find the Thevenin resistance. Apply Kirchhoff’s current law at node v 1 in Figure 1. v 1 100 + v 1 − 250 i Δ 200 + v 1 − v t 150 = 0 v 1 100 + v 1 200 − 250 i Δ 200 + v 1 150 − v t 150 = 0 0.0217 v 1 − 1.25 i Δ − 0.0067 v t = 0 (1) Apply Kirchhoff’s current law at node v t in Figure 1. v t − 250 i Δ 50 + v t − v 1 150 = 1 v t 50 − 250 i Δ 50 + v t 150 − v 1 150 = 1 0.0267 v t − 5 i Δ − 0.0067 v 1 = 1 (2) In Figure 1, the constraint equation is, i Δ = v t − v 1 150 (3) Substitute equation (3) in equation (1). 0.0217 v 1 − 1.25 ( v t − v 1 150 ) − 0.0067 v t = 0 0.0217 v 1 − 8.3333 × 10 − 3 v t + 8.3333 × 10 − 3 v 1 − 0.0067 v t = 0 0.03 v 1 − 0.015 v t = 0 0.03 v 1 = 0

11th Edition

ISBN: 9780134746968

Author: James W. Nilsson, Susan Riedel

Publisher: PEARSON

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In the analysis of any electric circuit, nodal analysis is the method of determining the potential difference or voltage between different nodes in an electric circuit. A node is a point where two or more branches connect each other. In the nodal analysi…

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Chapter 4, Problem 79P

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Find the Thevenin Voltage and Thevenin resistance at terminals a-b of the circuit.

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Chapter 4, Problem 78P

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