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)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F35b78b40-6a45-4b58-8186-5bcc6d82334d%2F721618d2-b118-4073-b340-5adff43383c1%2Fyzjys1c_processed.png&w=3840&q=75)
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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