46. An inductor is connected to a 240-V, 60-Hz supply. The current in the circuit is 5 A. WWhat is the inductance of the inductor? a. 0.0048 H b. 0.0075 H c. 0.1185 H d. 0.127 H
46. An inductor is connected to a 240-V, 60-Hz supply. The current in the circuit is 5 A. WWhat is the inductance of the inductor? a. 0.0048 H b. 0.0075 H c. 0.1185 H d. 0.127 H
Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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![**Problem Statement:**
An inductor is connected to a 240-V, 60-Hz supply. The current in the circuit is 5 A. What is the inductance of the inductor?
**Options:**
a. 0.0048 H
b. 0.0075 H
c. 0.1185 H
d. 0.127 H
**Explanation:**
This problem involves calculating the inductance of an inductor in an AC circuit. The relevant formula to use is:
\[ V = I \times X_L \]
Where:
- \( V \) is the voltage (240 V),
- \( I \) is the current (5 A),
- \( X_L \) is the inductive reactance.
The inductive reactance (\( X_L \)) can also be expressed as:
\[ X_L = 2\pi f L \]
Where:
- \( f \) is the frequency (60 Hz),
- \( L \) is the inductance.
By solving these equations, you can find the value of \( L \) that matches one of the given options.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3c64c691-4381-4c3b-ba72-71ddf7a7103d%2F59acd5e1-d4a0-4753-a838-fb6323fde4f1%2Frke1vaf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
An inductor is connected to a 240-V, 60-Hz supply. The current in the circuit is 5 A. What is the inductance of the inductor?
**Options:**
a. 0.0048 H
b. 0.0075 H
c. 0.1185 H
d. 0.127 H
**Explanation:**
This problem involves calculating the inductance of an inductor in an AC circuit. The relevant formula to use is:
\[ V = I \times X_L \]
Where:
- \( V \) is the voltage (240 V),
- \( I \) is the current (5 A),
- \( X_L \) is the inductive reactance.
The inductive reactance (\( X_L \)) can also be expressed as:
\[ X_L = 2\pi f L \]
Where:
- \( f \) is the frequency (60 Hz),
- \( L \) is the inductance.
By solving these equations, you can find the value of \( L \) that matches one of the given options.
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