Determine the power consumed by R, given: E₁=161 V, R₁ = 33 02, R₂ = 450, R₂ = 1402, and R₁ = 320 Ω (Round the FINAL answer to the nearest whole number.) ET R₁ Answer: R₁ R₂ www R₂ Click on the image to view a larger version of it.
Determine the power consumed by R, given: E₁=161 V, R₁ = 33 02, R₂ = 450, R₂ = 1402, and R₁ = 320 Ω (Round the FINAL answer to the nearest whole number.) ET R₁ Answer: R₁ R₂ www R₂ Click on the image to view a larger version of it.
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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What is the power (watts) consumed by R4?
![**Determine the Power Consumed by \( R_4 \):**
Given:
- \( E_T = 161 \, \text{V} \)
- \( R_1 = 33 \, \Omega \)
- \( R_2 = 45 \, \Omega \)
- \( R_3 = 14 \, \Omega \)
- \( R_4 = 32 \, \Omega \)
*(Round the FINAL answer to the nearest whole number.)*
**Circuit Diagram Explanation:**
The circuit diagram consists of:
1. A power source labeled \( E_T \).
2. A series connection of resistors \( R_1 \) and \( R_4 \).
3. Parallel branches consisting of \( R_2 \) and \( R_3 \).
The goal is to calculate the power used by the resistor \( R_4 \).
**Steps to Solve the Problem:**
1. **Find Total Equivalent Resistance (\( R_{\text{total}} \)):**
- Combine \( R_2 \) and \( R_3 \) since they are in parallel:
\[
\frac{1}{R_{\text{parallel}}} = \frac{1}{R_2} + \frac{1}{R_3}
\]
- Add \( R_1 \), \( R_4 \), and \( R_{\text{parallel}} \).
2. **Calculate Total Current (\( I_T \)):**
- Use Ohm's Law: \( I_T = \frac{E_T}{R_{\text{total}}} \).
3. **Determine Voltage Across \( R_4 \):**
- \( V_{R_4} = I_T \times R_4 \)
4. **Calculate Power Consumed by \( R_4 \):**
- Use the formula: \( P_{R_4} = I_T^2 \times R_4 \)
**Answer:**
(After solving using the above steps, input the final rounded answer here.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb829ca59-6dac-48ed-925f-bca16add6a16%2Ff2feff9d-6587-4a02-8964-8b4efdd027ee%2F9aktfg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Determine the Power Consumed by \( R_4 \):**
Given:
- \( E_T = 161 \, \text{V} \)
- \( R_1 = 33 \, \Omega \)
- \( R_2 = 45 \, \Omega \)
- \( R_3 = 14 \, \Omega \)
- \( R_4 = 32 \, \Omega \)
*(Round the FINAL answer to the nearest whole number.)*
**Circuit Diagram Explanation:**
The circuit diagram consists of:
1. A power source labeled \( E_T \).
2. A series connection of resistors \( R_1 \) and \( R_4 \).
3. Parallel branches consisting of \( R_2 \) and \( R_3 \).
The goal is to calculate the power used by the resistor \( R_4 \).
**Steps to Solve the Problem:**
1. **Find Total Equivalent Resistance (\( R_{\text{total}} \)):**
- Combine \( R_2 \) and \( R_3 \) since they are in parallel:
\[
\frac{1}{R_{\text{parallel}}} = \frac{1}{R_2} + \frac{1}{R_3}
\]
- Add \( R_1 \), \( R_4 \), and \( R_{\text{parallel}} \).
2. **Calculate Total Current (\( I_T \)):**
- Use Ohm's Law: \( I_T = \frac{E_T}{R_{\text{total}}} \).
3. **Determine Voltage Across \( R_4 \):**
- \( V_{R_4} = I_T \times R_4 \)
4. **Calculate Power Consumed by \( R_4 \):**
- Use the formula: \( P_{R_4} = I_T^2 \times R_4 \)
**Answer:**
(After solving using the above steps, input the final rounded answer here.)
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