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Determine the current supplied by each voltage source (8 V.12 V). using superposition theorem in figure 4. Fig.4 8v 2012 m 24ол гол б 2 12v

Determine the current supplied by each voltage source (8 V.12 V). using superposition theorem in figure 4. Fig.4 8v 2012 m 24ол гол б 2 12v

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
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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**Superposition Theorem Example:** *Determine the current supplied by each voltage source (8 V, 12 V) using the superposition theorem in figure 4.* *Figure 4:* The diagram presented in Figure 4 depicts an electrical circuit including: - Three resistors with resistance values of 1 ohm, 2 ohms, and 4 ohms. - Two voltage sources of 8 V and 12 V. This circuit can be analyzed using the superposition theorem, which states that in a linear network with multiple independent sources, the contribution of each individual source can be considered separately and the total current through any element is the algebraic sum of the currents due to each source acting alone with all other independent sources turned off (replaced by their internal resistances). **Explanation:** 1. **Identify Each Source's Contributions Separately:** - When considering one voltage source, the other voltage source is turned off (replaced by a short circuit if it’s an ideal voltage source). 2. **Analyze the Circuit with Only the 8V Source:** - Replace the 12V source with a short circuit. - Calculate the current on each branch of the circuit due to the 8V source. 3. **Analyze the Circuit with Only the 12V Source:** - Replace the 8V source with a short circuit. - Calculate the current on each branch of the circuit due to the 12V source. 4. **Combine Results:** - Sum the currents from each analysis to determine the total current that flows through each resistor and voltage source. **Diagram Description (Figure 4):** - The circuit is a combination of series and parallel resistances. - The left branch consists of a 1-ohm resistor in series with an 8V voltage source. - The middle branch consists of a 4-ohm resistor in parallel with a 10-ohm resistor. - The right branch consists of a 2-ohm resistor in series with a 12V voltage source. - All branches are interconnected, forming a complex loop. Using the superposition theorem, this type of problem can simplify the analysis process, helping students understand the effects of each individual source in a multi-source network.
Transcribed Image Text:**Superposition Theorem Example:** *Determine the current supplied by each voltage source (8 V, 12 V) using the superposition theorem in figure 4.* *Figure 4:* The diagram presented in Figure 4 depicts an electrical circuit including: - Three resistors with resistance values of 1 ohm, 2 ohms, and 4 ohms. - Two voltage sources of 8 V and 12 V. This circuit can be analyzed using the superposition theorem, which states that in a linear network with multiple independent sources, the contribution of each individual source can be considered separately and the total current through any element is the algebraic sum of the currents due to each source acting alone with all other independent sources turned off (replaced by their internal resistances). **Explanation:** 1. **Identify Each Source's Contributions Separately:** - When considering one voltage source, the other voltage source is turned off (replaced by a short circuit if it’s an ideal voltage source). 2. **Analyze the Circuit with Only the 8V Source:** - Replace the 12V source with a short circuit. - Calculate the current on each branch of the circuit due to the 8V source. 3. **Analyze the Circuit with Only the 12V Source:** - Replace the 8V source with a short circuit. - Calculate the current on each branch of the circuit due to the 12V source. 4. **Combine Results:** - Sum the currents from each analysis to determine the total current that flows through each resistor and voltage source. **Diagram Description (Figure 4):** - The circuit is a combination of series and parallel resistances. - The left branch consists of a 1-ohm resistor in series with an 8V voltage source. - The middle branch consists of a 4-ohm resistor in parallel with a 10-ohm resistor. - The right branch consists of a 2-ohm resistor in series with a 12V voltage source. - All branches are interconnected, forming a complex loop. Using the superposition theorem, this type of problem can simplify the analysis process, helping students understand the effects of each individual source in a multi-source network.
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