Determine the total resistance for the circuit
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Determine the total resistance for the circuit
![**Title: Calculating Total Resistance in a Circuit**
**Objective:**
Determine the total resistance for the given circuit using the values:
- Total voltage, \( E_T = 359 \, \text{V} \)
- Power dissipated by each resistor:
- \( P_1 = 356 \, \text{W} \)
- \( P_2 = 356 \, \text{W} \)
- \( P_3 = 356 \, \text{W} \)
- \( P_4 = 356 \, \text{W} \)
*Note: Round the final answer to the nearest whole number.*
**Circuit Diagram:**
The diagram features a parallel circuit configuration:
- \( R_1 \) and \( R_2 \) are connected in parallel to each other.
- \( R_3 \) and \( R_4 \) are also connected in parallel to each other.
- The entire setup is powered by a voltage source \( E_T \).
**Explanation:**
The circuit consists of two sets of parallel resistors, \( (R_1, R_2) \) and \( (R_3, R_4) \). Each set functions as a single equivalent resistor when calculating the total resistance of the circuit. The process involves calculating the resistance for each parallel pair using the formula for power:
\[ P = \frac{V^2}{R} \]
where \( P \) is the power, \( V \) is the voltage across the resistor, and \( R \) is the resistance.
This information will help determine the resistance values for each resistor and calculate the total equivalent resistance of the circuit using the parallel resistance formula:
\[ \frac{1}{R_{\text{eq}}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} + \frac{1}{R_4} \]
**Solution:**
1. Calculate the resistance for each resistor using the given power values.
2. Determine the equivalent resistance for each parallel configuration.
3. Combine the equivalent resistances to find the total resistance of the circuit.
By following these steps, you will attain the total resistance value.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F35b78b40-6a45-4b58-8186-5bcc6d82334d%2F41c41193-6fc3-4add-916e-4e8203b44735%2F3j3tks_processed.png&w=3840&q=75)
Transcribed Image Text:**Title: Calculating Total Resistance in a Circuit**
**Objective:**
Determine the total resistance for the given circuit using the values:
- Total voltage, \( E_T = 359 \, \text{V} \)
- Power dissipated by each resistor:
- \( P_1 = 356 \, \text{W} \)
- \( P_2 = 356 \, \text{W} \)
- \( P_3 = 356 \, \text{W} \)
- \( P_4 = 356 \, \text{W} \)
*Note: Round the final answer to the nearest whole number.*
**Circuit Diagram:**
The diagram features a parallel circuit configuration:
- \( R_1 \) and \( R_2 \) are connected in parallel to each other.
- \( R_3 \) and \( R_4 \) are also connected in parallel to each other.
- The entire setup is powered by a voltage source \( E_T \).
**Explanation:**
The circuit consists of two sets of parallel resistors, \( (R_1, R_2) \) and \( (R_3, R_4) \). Each set functions as a single equivalent resistor when calculating the total resistance of the circuit. The process involves calculating the resistance for each parallel pair using the formula for power:
\[ P = \frac{V^2}{R} \]
where \( P \) is the power, \( V \) is the voltage across the resistor, and \( R \) is the resistance.
This information will help determine the resistance values for each resistor and calculate the total equivalent resistance of the circuit using the parallel resistance formula:
\[ \frac{1}{R_{\text{eq}}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} + \frac{1}{R_4} \]
**Solution:**
1. Calculate the resistance for each resistor using the given power values.
2. Determine the equivalent resistance for each parallel configuration.
3. Combine the equivalent resistances to find the total resistance of the circuit.
By following these steps, you will attain the total resistance value.
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