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11. In the figure below, use node-voltage analysis to solve for all unknown values of voltage and current. 28 V R1=40 C www www FE R3=202 D R2=202 7 V

11. In the figure below, use node-voltage analysis to solve for all unknown values of voltage and current. 28 V R1=40 C www www FE R3=202 D R2=202 7 V

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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--- **Exercise on Node-Voltage Analysis** **Problem Statement:** 11. In the figure below, use node-voltage analysis to solve for all unknown values of voltage and current. **Diagram Explanation:** - The diagram consists of a circuit with three nodes labeled A, C, and D. - There are three resistors: - \( R1 = 4 \, \Omega \) between nodes A and C - \( R2 = 2 \, \Omega \) between nodes C and E - \( R3 = 2 \, \Omega \) between nodes C and D - There is a voltage source of 28 V between node A (positive terminal) and node B (negative terminal). - There is another voltage source of 7 V between node E (positive terminal) and node F (negative terminal). **Diagram Key Points:** - **Nodes**: - \( A \), \( C \), and \( E \) are the key nodes for voltage analysis. - **Voltage Sources**: - 28 V source connected between nodes A and B. - 7 V source connected between nodes E and F. - **Resistors**: - \( R1 \) (4 \( \Omega \)) between nodes A and C. - \( R2 \) (2 \( \Omega \)) between nodes C and E. - \( R3 \) (2 \( \Omega \)) between nodes C and D. **Analytical Approach:** To solve for the node voltages and then the branch currents, you can follow these steps: 1. **Identify Reference Node**: Set node B (or any other node) as the reference ground (0V). 2. **Apply Kirchhoff's Current Law (KCL) at each non-reference node**: - For node \( A \) - For node \( C \) - For node \( E \) 3. **Write Equations**: - Write the KCL equation for each node in terms of node voltages. - Solve the simultaneous equations to find node voltages. 4. **Calculate Currents**: - Use Ohm's Law (\(I = \frac{V}{R}\)) to find currents through each resistor. Using these steps, you can solve for all unknown voltages and currents in the given circuit. --- This exercise will help in
Transcribed Image Text:--- **Exercise on Node-Voltage Analysis** **Problem Statement:** 11. In the figure below, use node-voltage analysis to solve for all unknown values of voltage and current. **Diagram Explanation:** - The diagram consists of a circuit with three nodes labeled A, C, and D. - There are three resistors: - \( R1 = 4 \, \Omega \) between nodes A and C - \( R2 = 2 \, \Omega \) between nodes C and E - \( R3 = 2 \, \Omega \) between nodes C and D - There is a voltage source of 28 V between node A (positive terminal) and node B (negative terminal). - There is another voltage source of 7 V between node E (positive terminal) and node F (negative terminal). **Diagram Key Points:** - **Nodes**: - \( A \), \( C \), and \( E \) are the key nodes for voltage analysis. - **Voltage Sources**: - 28 V source connected between nodes A and B. - 7 V source connected between nodes E and F. - **Resistors**: - \( R1 \) (4 \( \Omega \)) between nodes A and C. - \( R2 \) (2 \( \Omega \)) between nodes C and E. - \( R3 \) (2 \( \Omega \)) between nodes C and D. **Analytical Approach:** To solve for the node voltages and then the branch currents, you can follow these steps: 1. **Identify Reference Node**: Set node B (or any other node) as the reference ground (0V). 2. **Apply Kirchhoff's Current Law (KCL) at each non-reference node**: - For node \( A \) - For node \( C \) - For node \( E \) 3. **Write Equations**: - Write the KCL equation for each node in terms of node voltages. - Solve the simultaneous equations to find node voltages. 4. **Calculate Currents**: - Use Ohm's Law (\(I = \frac{V}{R}\)) to find currents through each resistor. Using these steps, you can solve for all unknown voltages and currents in the given circuit. --- This exercise will help in
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