What is the inductance (L) of an inductor whose reactance is 1Ω at 50/ π hertz (H)?

A. 100 H
B. 0.01H
C. 10H
D. 1H

Correct Answer:

Option B = 0.01H

Explanation

XL = WL = 2πFL (w = 2πf)

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