Use nodal analysis in the given circuit to find Va and V₁. Let R₁ = 15.5 ohm, R₂ = 6.2 ohm, R3 = 8.75 ohm, R4 = 14.25 ohm, V₁ = 2 V, V₂ = 4 V, I₁ = 2 A. ww R₁ V₁₂ 4₁ R₂ ww Vb H Ry R₁ V₂ www

Use nodal analysis in the given circuit to find Va and V₁. Let R₁ = 15.5 ohm, R₂ = 6.2 ohm, R3 = 8.75 ohm, R4 = 14.25 ohm, V₁ = 2 V, V₂ = 4 V, I₁ = 2 A. ww R₁ V₁₂ 4₁ R₂ ww Vb H Ry R₁ V₂ www

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter7: Parallel Circuits

Section: Chapter Questions

Problem 3PP: Using the rules for parallel circuits and Ohmslaw, solve for the missing values....

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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

Use nodal analysis in the given circuit to find V₁ and V₁. Let R₁ = 15.5 ohm, R₂ = 6.2 ohm,
R3 = 8.75 ohm, R4 = 14.25 ohm, V₁ = 2 V, V₂ = 4 V, I₁ = 2 A.
V₂
www
R₁
V₁
1₁
R₂
V₂
wwww
+₁₁
R3
R4
V₂
www

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Step 1: Given:

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Step 2: Applying nodal analysis to given circuit:

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Step 3: Finding node equations:

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Step 4: Finding node voltages:

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