(a) To determine Calculate the voltages v 1 , v 2 , and v 3 in the given circuit using node-voltage method in PSPICE. Explanation The given circuit is redrawn with reference node and the node voltages v a , v b and v c as shown in Figure 1. Apply Kirchhoff’s current law at node v a in Figure 1. v a − v b 2 + v a 40 + v a − 40 3 + 1 = 0 v a 2 − v b 2 + v a 40 + v a 4 − 40 4 = 0 v a ( 1 2 + 1 40 + 1 4 ) − v b 2 = 40 4 0.775 v a − 0.5 v b = 10 (1) Apply Kirchhoff’s current law at node v b in Figure 1. v b − v a 2 + v b − v c 4 = 28 v b 2 − v a 2 + v b 4 − v c 4 = 28 − v a 2 + v b ( 1 2 + 1 4 ) − v c 4 = 28 − 0.5 v a + 0.75 v b − 0.25 v c = 28 (2) Apply Kirchhoff’s current law at node v c in Figure 1. v c 2 + v c − v b 4 = − 28 v c 2 + v c 4 − v b 4 = − 28 − 0.25 v b + 0.75 v c = − 28 Rearrange the equation as follows, 0.25 v b = 0.75 v c + 28 v b = 0.75 v c + 28 0.25 v b = 3 v c + 112 (3) Substitute equation (3) in equation (1). 0.775 v a − 0.5 ( 3 v c + 112 ) = 10 0.775 v a − 1.5 v c − 56 = 10 0.775 v a − 1.5 v c = 10 + 56 0.775 v a − 1.5 v c = 66 Rearrange the equation as follows, 0.775 v a = 66 + 1.5 v c v a = 66 + 1.5 v c 0.775 v a = 85.1613 + 1.9355 v c (4) Substitute equation (3) and (4) in equation (2). − 0.5 ( 85.1613 + 1 (b) To determine Calculate the power delivered by the 40 V source to the circuit using PSPICE.

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, Problem 14P

(a)

To determine

Calculate the voltages v1, v2, and v3 in the given circuit using node-voltage method in PSPICE.

(b)

To determine

Calculate the power delivered by the 40 V source to the circuit using PSPICE.

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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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