What is the peak voltage of a 120V RMS AC voltage?
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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![### Question 10: Peak Voltage Calculation
**Question:**
What is the peak voltage of a 120V RMS AC voltage?
**Options:**
- 169.73V
- 188.38V
- 84.84V
- 240V
**Instructions:**
Click Save and Submit to save and submit. Click Save All Answers to save all answers.
### Explanation:
For an AC (Alternating Current) voltage, the RMS (Root Mean Square) value is related to the peak voltage by the following formula:
\[ \text{Peak Voltage} = \text{RMS Voltage} \times \sqrt{2} \]
Given an RMS voltage of 120V, the calculation for peak voltage is:
\[ \text{Peak Voltage} = 120V \times \sqrt{2} \approx 120V \times 1.414 = 169.73V \]
Therefore, the correct choice is:
- **169.73V**
Use this calculation to understand the relationship between RMS and peak values in AC circuits.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F504bb850-9868-4a2b-8e2e-320c60e255b2%2F4703d93e-c800-46d3-bf53-31b7fe55786b%2Fk8x90w4_reoriented.jpeg&w=3840&q=75)
Transcribed Image Text:### Question 10: Peak Voltage Calculation
**Question:**
What is the peak voltage of a 120V RMS AC voltage?
**Options:**
- 169.73V
- 188.38V
- 84.84V
- 240V
**Instructions:**
Click Save and Submit to save and submit. Click Save All Answers to save all answers.
### Explanation:
For an AC (Alternating Current) voltage, the RMS (Root Mean Square) value is related to the peak voltage by the following formula:
\[ \text{Peak Voltage} = \text{RMS Voltage} \times \sqrt{2} \]
Given an RMS voltage of 120V, the calculation for peak voltage is:
\[ \text{Peak Voltage} = 120V \times \sqrt{2} \approx 120V \times 1.414 = 169.73V \]
Therefore, the correct choice is:
- **169.73V**
Use this calculation to understand the relationship between RMS and peak values in AC circuits.
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