A sine wave has a peak value of 354 VAC. What is the RMS value?
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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A sine wave has a peak value of 354 VAC. What is the RMS value?
![**Question:**
A sine wave has a peak value of 354 VAC. What is the RMS value?
**Options:**
- ○ 250 VAC
- ○ 170 VAC
- ○ 500.56 VAC
- ○ 240 VAC
**Explanation:**
To calculate the Root Mean Square (RMS) value of a sine wave, use the formula:
\[ \text{RMS} = \frac{\text{Peak Value}}{\sqrt{2}} \]
Given the peak value of 354 VAC, the calculation is:
\[ \text{RMS} = \frac{354}{\sqrt{2}} \approx 250 \, \text{VAC} \]
So, the correct answer is **250 VAC**.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F45694c89-08dc-4cba-91a1-85b08f29da35%2Fbb661c6d-6096-4bac-a86a-15dcb70db2e8%2Ft8ccusg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question:**
A sine wave has a peak value of 354 VAC. What is the RMS value?
**Options:**
- ○ 250 VAC
- ○ 170 VAC
- ○ 500.56 VAC
- ○ 240 VAC
**Explanation:**
To calculate the Root Mean Square (RMS) value of a sine wave, use the formula:
\[ \text{RMS} = \frac{\text{Peak Value}}{\sqrt{2}} \]
Given the peak value of 354 VAC, the calculation is:
\[ \text{RMS} = \frac{354}{\sqrt{2}} \approx 250 \, \text{VAC} \]
So, the correct answer is **250 VAC**.
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