Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Question

the Total Resistance is found to be 6 Ohms.

FIND 

The required Voltage Source E

The value of R2

This image depicts an electrical circuit containing a voltage source labeled \( E \), two resistors \( R_1 \) and \( R_2 \), and the total resistance \( R_T \). ### Components: - **Voltage Source \( E \)**: The power source is shown by a symbol with a positive (+) and negative (-) terminal. - **Total Resistance \( R_T \)**: \( R_T = 6 \, \Omega \). This is the total resistance of the circuit. - **Resistor \( R_1 \)**: The resistance is \( 18 \, \Omega \). - **Resistor \( R_2 \)**: There is a power dissipation given by \( P = 81 \, W \), but the resistance value is not directly given. ### Configuration: - The circuit is a parallel circuit. - Resistor \( R_1 \) is in parallel with Resistor \( R_2 \). - The total resistance \( R_T \) is marked on the path leading from the voltage source to the branch containing the resistors. ### Analysis: - The value of \( R_2 \) can be determined using the power formula \( P = \frac{V^2}{R} \) once the voltage is known, or via the parallel resistance formula if the voltage \( E \) is provided. - The power consumed by \( R_2 \) is given as \( 81 \, W \). This circuit diagram is useful for understanding concepts of series and parallel resistances, as well as power dissipation in electrical circuits.
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Transcribed Image Text:This image depicts an electrical circuit containing a voltage source labeled \( E \), two resistors \( R_1 \) and \( R_2 \), and the total resistance \( R_T \). ### Components: - **Voltage Source \( E \)**: The power source is shown by a symbol with a positive (+) and negative (-) terminal. - **Total Resistance \( R_T \)**: \( R_T = 6 \, \Omega \). This is the total resistance of the circuit. - **Resistor \( R_1 \)**: The resistance is \( 18 \, \Omega \). - **Resistor \( R_2 \)**: There is a power dissipation given by \( P = 81 \, W \), but the resistance value is not directly given. ### Configuration: - The circuit is a parallel circuit. - Resistor \( R_1 \) is in parallel with Resistor \( R_2 \). - The total resistance \( R_T \) is marked on the path leading from the voltage source to the branch containing the resistors. ### Analysis: - The value of \( R_2 \) can be determined using the power formula \( P = \frac{V^2}{R} \) once the voltage is known, or via the parallel resistance formula if the voltage \( E \) is provided. - The power consumed by \( R_2 \) is given as \( 81 \, W \). This circuit diagram is useful for understanding concepts of series and parallel resistances, as well as power dissipation in electrical circuits.
Expert Solution
Check Mark
Step 1: Introduction about the given questionE

In this question, we need to determine the value of resistance R2  and value of voltage source E. 

Power in the resistance R, P= E2 /R 

Where E voltage across resistance R. 

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