College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Question
![**Question:** What is the RMS voltage from a sinusoidal AC source that has an output \( V = 150 \sin(2\pi ft) \)? (Enter answer as an integer. Do not enter unit.)
**Additional Note:** Moving to another question will save this response.
**Explanation:**
- **Expression for AC Voltage:**
The expression given is \( V = 150 \sin(2\pi ft) \), where:
- 150 is the peak voltage (\( V_{\text{peak}} \)).
- \(\sin(2\pi ft)\) represents the sinusoidal function of time.
- **Root Mean Square (RMS) Voltage:**
\( V_{\text{RMS}} \) for a sinusoidal voltage is calculated using the formula:
\[
V_{\text{RMS}} = \frac{V_{\text{peak}}}{\sqrt{2}}
\]
- **Calculation:**
Substituting the given peak voltage:
\[
V_{\text{RMS}} = \frac{150}{\sqrt{2}} \approx 106
\]
Enter the value 106 as the integer answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe729a476-2c21-47cf-8145-b09785d3a477%2F5a70b92f-c390-4473-855a-80eee3320c5b%2Fk6in0y_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question:** What is the RMS voltage from a sinusoidal AC source that has an output \( V = 150 \sin(2\pi ft) \)? (Enter answer as an integer. Do not enter unit.)
**Additional Note:** Moving to another question will save this response.
**Explanation:**
- **Expression for AC Voltage:**
The expression given is \( V = 150 \sin(2\pi ft) \), where:
- 150 is the peak voltage (\( V_{\text{peak}} \)).
- \(\sin(2\pi ft)\) represents the sinusoidal function of time.
- **Root Mean Square (RMS) Voltage:**
\( V_{\text{RMS}} \) for a sinusoidal voltage is calculated using the formula:
\[
V_{\text{RMS}} = \frac{V_{\text{peak}}}{\sqrt{2}}
\]
- **Calculation:**
Substituting the given peak voltage:
\[
V_{\text{RMS}} = \frac{150}{\sqrt{2}} \approx 106
\]
Enter the value 106 as the integer answer.
Expert Solution
Step 1
Output voltage is given by :
V = 150Sin(2πft)
Step by step
Solved in 2 steps
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