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:**
At what frequency will a 20.0-mH inductor have an inductive reactance of 100 Ω?
**Options:**
A. 666.5 Hz
B. 795.8 Hz
C. 879.4 Hz
D. None
**Explanation:**
To find the frequency at which an inductor will have a given inductive reactance, use the formula for inductive reactance:
\[ X_L = 2\pi f L \]
Where:
- \( X_L \) is the inductive reactance in ohms (Ω),
- \( f \) is the frequency in hertz (Hz),
- \( L \) is the inductance in henries (H).
Plug in the given values:
\[ 100 = 2\pi f (0.020) \]
Solve for \( f \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F24227ad7-0cee-4cb3-bf8f-36b2c099999b%2Fb0f8f60d-c8db-475a-a18c-574388107d68%2F3nouxw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question:**
At what frequency will a 20.0-mH inductor have an inductive reactance of 100 Ω?
**Options:**
A. 666.5 Hz
B. 795.8 Hz
C. 879.4 Hz
D. None
**Explanation:**
To find the frequency at which an inductor will have a given inductive reactance, use the formula for inductive reactance:
\[ X_L = 2\pi f L \]
Where:
- \( X_L \) is the inductive reactance in ohms (Ω),
- \( f \) is the frequency in hertz (Hz),
- \( L \) is the inductance in henries (H).
Plug in the given values:
\[ 100 = 2\pi f (0.020) \]
Solve for \( f \).
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