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What is the inductance (L) of an inductor whose reactance is 1Ω at 50/ ...

What is the inductance (L) of an inductor whose reactance is 1Ω at 50/ π hertz (H)?
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  • A 100 H
  • B 0.01H
  • C 10H
  • D 1H
Correct Answer: Option B
Explanation:
XL = WL = 2Ï€FL (w = 2Ï€f)
XL = reactance inductor (S.I unit Ω)
L = inductance (L) in Henry
XL = 1Ω, f = 50/π, L = ?
1 = 2× π × 50/π × L
1 = 100L
i.e. 100L = 1
L = 1/100
0.01H
∴ Inductance (L) of a inductor = 0.01H

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