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Determine v using Superposition

Determine v using Superposition

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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Determine v using Superposition

 

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### Circuit Analysis Using Superposition #### Objective: Determine the voltage \( v \) using the Superposition Theorem. #### Circuit Description: The circuit consists of: - Three sources: - A 1V voltage source on the left side. - A 0.5A current source below the 1V voltage source. - A -5V voltage source on the right side. - Resistors connected as follows: - Two 20Ω resistors at the top forming a series path between the 1V and -5V sources. - A 40Ω resistor in between the two 20Ω resistors, connected vertically with the polarity marked for \( v \). - Two 50Ω resistors in parallel with the 40Ω resistor, vertically aligned between the middle nodes. - Two 60Ω resistors in parallel, vertically aligned on the right side between the top and bottom nodes. - Two 100Ω resistors at the bottom form a parallel path below the 50Ω and 60Ω resistors. #### Explanation of Diagram: - This circuit is analyzed using the Superposition Theorem by considering each source independently while turning off other sources (i.e., replacing voltage sources with short circuits and current sources with open circuits). #### Steps for Analysis Using Superposition: 1. **Consider the 1V voltage source alone:** - Deactivate the -5V voltage source (replace with a short circuit). - Deactivate the 0.5A current source (replace with an open circuit). - Analyze the resulting circuit to determine the contribution to \( v \) from the 1V source. 2. **Consider the -5V voltage source alone:** - Deactivate the 1V voltage source (replace with a short circuit). - Deactivate the 0.5A current source (replace with an open circuit). - Analyze the resulting circuit to determine the contribution to \( v \) from the -5V source. 3. **Consider the 0.5A current source alone:** - Deactivate the 1V voltage source (replace with a short circuit). - Deactivate the -5V voltage source (replace with a short circuit). - Analyze the resulting circuit to determine the contribution to \( v \) from the current source. 4. **Calculate the total voltage \( v \):** - Sum up all contributions from each independent
Transcribed Image Text:### Circuit Analysis Using Superposition #### Objective: Determine the voltage \( v \) using the Superposition Theorem. #### Circuit Description: The circuit consists of: - Three sources: - A 1V voltage source on the left side. - A 0.5A current source below the 1V voltage source. - A -5V voltage source on the right side. - Resistors connected as follows: - Two 20Ω resistors at the top forming a series path between the 1V and -5V sources. - A 40Ω resistor in between the two 20Ω resistors, connected vertically with the polarity marked for \( v \). - Two 50Ω resistors in parallel with the 40Ω resistor, vertically aligned between the middle nodes. - Two 60Ω resistors in parallel, vertically aligned on the right side between the top and bottom nodes. - Two 100Ω resistors at the bottom form a parallel path below the 50Ω and 60Ω resistors. #### Explanation of Diagram: - This circuit is analyzed using the Superposition Theorem by considering each source independently while turning off other sources (i.e., replacing voltage sources with short circuits and current sources with open circuits). #### Steps for Analysis Using Superposition: 1. **Consider the 1V voltage source alone:** - Deactivate the -5V voltage source (replace with a short circuit). - Deactivate the 0.5A current source (replace with an open circuit). - Analyze the resulting circuit to determine the contribution to \( v \) from the 1V source. 2. **Consider the -5V voltage source alone:** - Deactivate the 1V voltage source (replace with a short circuit). - Deactivate the 0.5A current source (replace with an open circuit). - Analyze the resulting circuit to determine the contribution to \( v \) from the -5V source. 3. **Consider the 0.5A current source alone:** - Deactivate the 1V voltage source (replace with a short circuit). - Deactivate the -5V voltage source (replace with a short circuit). - Analyze the resulting circuit to determine the contribution to \( v \) from the current source. 4. **Calculate the total voltage \( v \):** - Sum up all contributions from each independent
Expert Solution
Step 1: what is given and what is required:

Given:

a network, 

Electrical Engineering homework question answer, step 1, image 1

To find:

the voltage across 40capital omega resistance using superposition theorem. 


Note:

In superposition theorem, one source is applied at a time and remaining independent voltage source and current source are replaced by short circuit and open circuit respectively. Individual responses are added to get final response. 


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