1192www2 Ω 3 V1V₂-V₁39222% ++V2 2 V3292wwwThe node-voltage equation at node 2 in the above circuit isV₂-V₁20 V₂-V₁ - 2io + V₁-V/²V₂-V₂= 00-¹ + 2% + V₂-V₁ = 02= 03V₂V + 2io + V₂-V₁ = 0254 V

Given Data:A DC three-node circuit having a node with,Current dependent current source Resistors…

1 192 www OV/₂= -21, + V2- - 2io + 202 V1 V2 2 V3+54 V -V₁ 392 ww 2 The node-voltage equation at node 2 in the above circuit is 0 V₂-V₁+2i0 + ₁-₁ 21, + O V/₁-₁ + 2% + 292 www V₁-V₁ = 0 V₁-V³ V₁-V₂ 2 V₂-V₁ 2 = 0 3 = 0 = 0

1 192 www OV/₂= -21, + V2- - 2io + 202 V1 V2 2 V3+54 V -V₁ 392 ww 2 The node-voltage equation at node 2 in the above circuit is 0 V₂-V₁+2i0 + ₁-₁ 21, + O V/₁-₁ + 2% + 292 www V₁-V₁ = 0 V₁-V³ V₁-V₂ 2 V₂-V₁ 2 = 0 3 = 0 = 0

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Concept explainers

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 analysis, the voltages are determined in the terms of branch currents. The nodal analysis is also known as the node voltage method or branch current method. The nodal analysis method is one of the several applications of Kirchhoff's Current Law (KCL).

Question

1
192
www
2 Ω 3 V1
V₂-V₁
392
2
2% +
+
V2 2 V3
292
www
The node-voltage equation at node 2 in the above circuit is
V₂-V₁
2
0 V₂-V₁ - 2io + V₁-V/²
V₂-V₂
= 0
0-¹ + 2% + V₂-V₁ = 0
2
= 0
3
V₂V + 2io + V₂-V₁ = 0
2
54 V

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