Physics
NULL
Medium
Question
An inductive coil has a resistance of 100Ω. When an AC signal of frequency 1000Hz is fed to the coil the applied voltage leads the current by 45Ω. What is the inductance of the coil ?
A
10mH
B
12mH
C
16mH
✓ Official correct answer
D
20mH
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A
10mH
No member explanations yet for this option.
B
12mH
No member explanations yet for this option.
C
16mH
No member explanations yet for this option.
D
20mH
No member explanations yet for this option.
Explanation
Since tanφ=XL/R and φ=45° (tan45°=1), XL=R=100Ω. Then L=XL/(2πf)=100/(2π x 1000)≈0.0159H≈16mH.
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