To determine Calculate the voltage v in the given circuit using node-voltage method. Explanation The given circuit is redrawn with reference node and the node voltages v 1 and v 2 as shown in Figure 1. Apply Kirchhoff’s current law at node v 1 in Figure 1. v 1 − v 2 6 + 2 + v 1 1 = 4.5 v 1 8 − v 2 8 + v 1 = 4.5 v 1 ( 1 8 + 1 ) − v 2 8 = 4.5 1.125 v 1 − 0.125 v 2 = 4.5 (1) Apply Kirchhoff’s current law at node v 2 in Figure 1. v 2 − v 1 6 + 2 + v 2 12 + v 2 − 30 4 = 0 v 2 8 − v 1 8 + v 2 12 + v 2 4 − 30 4 = 0 − 1 8 v 1 + v 2 ( 1 8 + 1 12 + 1 4 ) = 30 4 − 0.125 v 1 + 0.4583 v 2 = 7.5 Rearrange the equation as follows, 0.125 v 1 = 0.4583 v 2 − 7.5 v 1 = 0.4583 v 2 − 7.5 0.125 v 1 = 3.6664 v 2 − 60 (2) Substitute equation (2) in equation (1). 1.125 ( 3.6664 v 2 − 60 ) − 0.125 v 2 = 4.5 4.1247 v 2 − 67.5 − 0.125 v 2 = 4.5 3.9997 v 2 = 4.5 + 67.5 3.9997 v 2 = 72 Rearrange the equation as follows, v 2 = 72 3

Electrical Circuits and Modified MasteringEngineering - With Access

10th Edition

ISBN: 9780133992793

Author: NILSSON

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 4.2, Problem 2AP

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

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Electrical Circuits and Modified MasteringEngineering - With Access

Ch. 4.2 - a) For the circuit shown, use the node-voltage...Ch. 4.2 - Use the node-voltage method to find v in the...Ch. 4.3 - Use the node-voltage method to find the power...Ch. 4.4 - Use the node-voltage method to find vo in the...Ch. 4.4 - Use the node-voltage method to find v in the...Ch. 4.4 - Use the node-voltage method to find v1 in the...Ch. 4.5 - Use the mesh-current method to find (a) the power...Ch. 4.6 - Determine the number of mesh-current equations...Ch. 4.6 - Use the mesh-current method to find vo in the...Ch. 4.7 - Use the mesh-current method to find the power...

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