**Circuit Analysis Using Superposition****Objective:**For the circuit provided, where \( V_S = 125 \, \text{V} \), apply the principle of superposition to find the node voltages \( V_A \), \( V_B \), and \( V_C \).**Components and Layout:**1. **Voltage Source:** - \( V_1 = 20 \, \text{VDC} \)2. **Current Source:** - \( I_1 = 0.015 \, \text{A} \)3. **Resistors:** - \( R_1 = 2 \, \text{k}\Omega \) - \( R_2 = 1 \, \text{k}\Omega \) - \( R_3 = 3 \, \text{k}\Omega \) - \( R_4 = 1 \, \text{k}\Omega \) - \( R_5 = 1 \, \text{k}\Omega \) - \( R_6 = 1 \, \text{k}\Omega \) - \( R_8 = 1 \, \text{k}\Omega \)**Circuit Description:**- The circuit has a voltage source \( V_1 = 20 \, \text{VDC} \) connected between the ground node and one terminal of \( R_1 \).- Node \( V_A \) connects \( R_1 \), \( R_3 \), \( R_8 \), and \( R_2 \).- Node \( V_B \) connects \( R_4 \), \( R_5 \), and \( R_8 \).- Node \( V_C \) connects \( R_2 \), \( R_5 \), and the current source \( I_1 = 0.015 \, \text{A} \).**Analysis Steps with Superposition:**1. **Deactivate all sources except one and calculate the contribution to each node voltage.** - For the voltage source \( V_1 \), replace the current source with an open circuit. - For the current source \( I_1 \), replace the voltage source with a short circuit.2. **Repeat steps for each source, then sum their contributions for \( V_A \), \( V_B \), and \( V_C \).**By following these

Superposition theorem states that voltage or current impressed by different voltage or current…

Answered: For the below circuit and Vs = 125 V,…

For the below circuit and Vs = 125 V, use superposition to find the node voltages VA, VB and Vc: VB R4 R5 1k 1k R8 1k VA R1 Vc R2 1k 2k 20vdc V1 1 R3 3k 0.015Ado 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

**Circuit Analysis Using Superposition**

**Objective:**
For the circuit provided, where \( V_S = 125 \, \text{V} \), apply the principle of superposition to find the node voltages \( V_A \), \( V_B \), and \( V_C \).

**Components and Layout:**

1. **Voltage Source:**
- \( V_1 = 20 \, \text{VDC} \)

2. **Current Source:**
- \( I_1 = 0.015 \, \text{A} \)

3. **Resistors:**
- \( R_1 = 2 \, \text{k}\Omega \)
- \( R_2 = 1 \, \text{k}\Omega \)
- \( R_3 = 3 \, \text{k}\Omega \)
- \( R_4 = 1 \, \text{k}\Omega \)
- \( R_5 = 1 \, \text{k}\Omega \)
- \( R_6 = 1 \, \text{k}\Omega \)
- \( R_8 = 1 \, \text{k}\Omega \)

**Circuit Description:**

- The circuit has a voltage source \( V_1 = 20 \, \text{VDC} \) connected between the ground node and one terminal of \( R_1 \).
- Node \( V_A \) connects \( R_1 \), \( R_3 \), \( R_8 \), and \( R_2 \).
- Node \( V_B \) connects \( R_4 \), \( R_5 \), and \( R_8 \).
- Node \( V_C \) connects \( R_2 \), \( R_5 \), and the current source \( I_1 = 0.015 \, \text{A} \).

**Analysis Steps with Superposition:**

1. **Deactivate all sources except one and calculate the contribution to each node voltage.**
- For the voltage source \( V_1 \), replace the current source with an open circuit.
- For the current source \( I_1 \), replace the voltage source with a short circuit.

2. **Repeat steps for each source, then sum their contributions for \( V_A \), \( V_B \), and \( V_C \).**

By following these

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