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Determine the total power consumed in the circuit, given: Ę₁ = 183 V, R₁ = 27 £, R₂ = 14 §, and R₂ = 27 (Round the FINAL answer to the nearest whole number.) E₁ R₁ R₂ W ww

Determine the total power consumed in the circuit, given: Ę₁ = 183 V, R₁ = 27 £, R₂ = 14 §, and R₂ = 27 (Round the FINAL answer to the nearest whole number.) E₁ R₁ R₂ W ww

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 the total power consumed in the circuit

To determine the total power consumed in the circuit, we are given the following parameters: - \( E_T = 183 \, \text{V} \) - \( R_1 = 27 \, \Omega \) - \( R_2 = 14 \, \Omega \) - \( R_3 = 27 \, \Omega \) The problem asks us to round the final answer to the nearest whole number. **Circuit Diagram Description:** The circuit consists of the following components: 1. **Voltage Source (\( E_T \))**: A battery or power supply providing 183 volts. 2. **Resistors**: - \( R_1 \) is connected in series with the parallel combination of \( R_2 \) and \( R_3 \). - \( R_2 \) and \( R_3 \) are connected in parallel with each other. **Steps to Solve the Problem:** 1. **Calculate the Equivalent Resistance of \( R_2 \) and \( R_3 \) in Parallel**: \[ \frac{1}{R_{\text{parallel}}} = \frac{1}{R_2} + \frac{1}{R_3} = \frac{1}{14} + \frac{1}{27} \] Solve for \( R_{\text{parallel}} \). 2. **Calculate Total Resistance in the Circuit**: Add \( R_1 \) and \( R_{\text{parallel}} \): \[ R_{\text{total}} = R_1 + R_{\text{parallel}} \] 3. **Calculate Total Current (\( I \)) Using Ohm’s Law**: \[ I = \frac{E_T}{R_{\text{total}}} \] 4. **Calculate Total Power Consumed (\( P \))**: \[ P = E_T \cdot I \] Round the calculated power to the nearest whole number. Using these steps and formulas, you can find the total power consumed by the circuit.
Transcribed Image Text:To determine the total power consumed in the circuit, we are given the following parameters: - \( E_T = 183 \, \text{V} \) - \( R_1 = 27 \, \Omega \) - \( R_2 = 14 \, \Omega \) - \( R_3 = 27 \, \Omega \) The problem asks us to round the final answer to the nearest whole number. **Circuit Diagram Description:** The circuit consists of the following components: 1. **Voltage Source (\( E_T \))**: A battery or power supply providing 183 volts. 2. **Resistors**: - \( R_1 \) is connected in series with the parallel combination of \( R_2 \) and \( R_3 \). - \( R_2 \) and \( R_3 \) are connected in parallel with each other. **Steps to Solve the Problem:** 1. **Calculate the Equivalent Resistance of \( R_2 \) and \( R_3 \) in Parallel**: \[ \frac{1}{R_{\text{parallel}}} = \frac{1}{R_2} + \frac{1}{R_3} = \frac{1}{14} + \frac{1}{27} \] Solve for \( R_{\text{parallel}} \). 2. **Calculate Total Resistance in the Circuit**: Add \( R_1 \) and \( R_{\text{parallel}} \): \[ R_{\text{total}} = R_1 + R_{\text{parallel}} \] 3. **Calculate Total Current (\( I \)) Using Ohm’s Law**: \[ I = \frac{E_T}{R_{\text{total}}} \] 4. **Calculate Total Power Consumed (\( P \))**: \[ P = E_T \cdot I \] Round the calculated power to the nearest whole number. Using these steps and formulas, you can find the total power consumed by the circuit.
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