The power output of the half-wave rectifier is rated at 102.4 W with a load resistor of 40 ohms. The RMS voltage at the output is: O A. None of the other choices are correct OB. 12.5 V O C. 102 V O D. 25.5 V O E. 51 V
The power output of the half-wave rectifier is rated at 102.4 W with a load resistor of 40 ohms. The RMS voltage at the output is: O A. None of the other choices are correct OB. 12.5 V O C. 102 V O D. 25.5 V O E. 51 V
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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![**Question:**
The power output of the half-wave rectifier is rated at 102.4 W with a load resistor of 40 ohms. The RMS voltage at the output is:
- A. None of the other choices are correct
- B. 12.5 V
- C. 102 V
- D. 25.5 V
- E. 51 V
**Explanation:**
To find the RMS voltage at the output, we use the formula for power:
\[ P = \frac{V^2}{R} \]
Where:
- \( P \) is the power (102.4 W)
- \( V \) is the RMS voltage
- \( R \) is the resistance (40 ohms)
Rearranging to find \( V \):
\[ V^2 = P \times R \]
\[ V = \sqrt{P \times R} \]
\[ V = \sqrt{102.4 \times 40} \]
Calculate the result to determine the correct choice for the RMS voltage.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc1ee6c1d-c12c-4394-b43c-43844765daaa%2F91982e23-9f15-4ddc-9e3a-40a136d2b275%2Fg4indw9_processed.png&w=3840&q=75)
Transcribed Image Text:**Question:**
The power output of the half-wave rectifier is rated at 102.4 W with a load resistor of 40 ohms. The RMS voltage at the output is:
- A. None of the other choices are correct
- B. 12.5 V
- C. 102 V
- D. 25.5 V
- E. 51 V
**Explanation:**
To find the RMS voltage at the output, we use the formula for power:
\[ P = \frac{V^2}{R} \]
Where:
- \( P \) is the power (102.4 W)
- \( V \) is the RMS voltage
- \( R \) is the resistance (40 ohms)
Rearranging to find \( V \):
\[ V^2 = P \times R \]
\[ V = \sqrt{P \times R} \]
\[ V = \sqrt{102.4 \times 40} \]
Calculate the result to determine the correct choice for the RMS voltage.
Expert Solution

Step 1
Given,
P = 102.4 W
R = 40 ohm
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