To determine Calculate the voltage v o in the given circuit using node-voltage method. Explanation The given circuit is redrawn with reference node and the node voltage v o as shown in Figure 1. Apply Kirchhoff’s current law at node v o in Figure 1. v o − 10 10 + v o 40 + v o + 20 i Δ 20 = 0 v o 10 − 10 10 + v o 40 + v o 20 + 20 i Δ 20 = 0 ( 1 10 + 1 40 + 1 20 ) v o + 20 20 i Δ = 10 10 0.175 v o + i Δ = 1 (1) The constraint equation required by the current-controlled voltage-source (dependent source) is calculated as follows. i Δ = i 10 Ω + i 30 Ω (2) In Figure 1, the current i 10 Ω through the 10 ohms resistor is calculated as follows. i 10 Ω = 10 − v o 10 (3) In Figure 1, the current i 30 Ω through the 30 ohms resistor is calculated as follows. i 30 Ω = 10 + 20 i Δ 30 (4) Substitute equation (3) and (4) in equation (2)

11th Edition

ISBN: 9780134746968

Author: James W. Nilsson, Susan Riedel

Publisher: PEARSON

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Nodal Analysis

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 4.4, Problem 4AP

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Calculate the voltage vo in the given circuit using node-voltage method.

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