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Determine the power consumed by resistor R₂, given: E₁ = 224 V, R₁ = 180, R₂ = 370, and R₂ = 42 Q (Round the FINAL answer to the nearest whole number.) E₁ m R₁ R₂

Determine the power consumed by resistor R₂, given: E₁ = 224 V, R₁ = 180, R₂ = 370, and R₂ = 42 Q (Round the FINAL answer to the nearest whole number.) E₁ m R₁ R₂

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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**Problem Statement:** Determine the power consumed by resistor \( R_2 \), given: - \( E_T = 224 \, \text{V} \) - \( R_1 = 18 \, \Omega \) - \( R_2 = 37 \, \Omega \) - \( R_3 = 42 \, \Omega \) *Round the FINAL answer to the nearest whole number.* **Circuit Diagram Description:** The circuit consists of a battery with total voltage \( E_T \) connected in series with a resistor \( R_1 \). Beyond \( R_1 \), resistors \( R_2 \) and \( R_3 \) are connected in parallel to each other. The parallel combination of \( R_2 \) and \( R_3 \) then reconnects back to the battery, completing the circuit loop. **Solution Steps (Conceptual):** 1. **Calculate Total Resistance:** - Find the equivalent resistance of \( R_2 \) and \( R_3 \) in parallel. - Add the result to \( R_1 \) for the total series resistance. 2. **Determine Total Current:** - Use Ohm’s Law with total voltage \( E_T \) and total resistance to find the current flowing through the circuit. 3. **Calculate Voltage Across \( R_2 \):** - With total current known, determine the voltage drop across the parallel resistors \( R_2 \) and \( R_3 \). 4. **Find Power Consumed by \( R_2 \):** - Use the formula \( P = V^2 / R \) to find the power consumed by resistor \( R_2 \). **Conclusion:** This process will determine the power consumed by \( R_2 \) with the final answer rounded to the nearest whole number.
Transcribed Image Text:**Problem Statement:** Determine the power consumed by resistor \( R_2 \), given: - \( E_T = 224 \, \text{V} \) - \( R_1 = 18 \, \Omega \) - \( R_2 = 37 \, \Omega \) - \( R_3 = 42 \, \Omega \) *Round the FINAL answer to the nearest whole number.* **Circuit Diagram Description:** The circuit consists of a battery with total voltage \( E_T \) connected in series with a resistor \( R_1 \). Beyond \( R_1 \), resistors \( R_2 \) and \( R_3 \) are connected in parallel to each other. The parallel combination of \( R_2 \) and \( R_3 \) then reconnects back to the battery, completing the circuit loop. **Solution Steps (Conceptual):** 1. **Calculate Total Resistance:** - Find the equivalent resistance of \( R_2 \) and \( R_3 \) in parallel. - Add the result to \( R_1 \) for the total series resistance. 2. **Determine Total Current:** - Use Ohm’s Law with total voltage \( E_T \) and total resistance to find the current flowing through the circuit. 3. **Calculate Voltage Across \( R_2 \):** - With total current known, determine the voltage drop across the parallel resistors \( R_2 \) and \( R_3 \). 4. **Find Power Consumed by \( R_2 \):** - Use the formula \( P = V^2 / R \) to find the power consumed by resistor \( R_2 \). **Conclusion:** This process will determine the power consumed by \( R_2 \) with the final answer rounded to the nearest whole number.
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