The reactance of a coil when used in the AC power supply (220 V, 50 cycle/s) is 50 Ω . The inductance of the coil is nearly

Question

The reactance of a coil when used in the AC power supply (220 V, 50 cycle/s) is 50 Ω . The inductance of the coil is nearly (A) 0.16 H (B) 0.22 H (C) 2.2 H (D) 1.6 H

Tardigrade Admin · Accepted Answer

In a coil the product of angular frequency

(ω)

and inductance

(L)

is known as the reactance of the coil or inductive reactance and is denoted by

X_{L}

.
Thus,

X_{L} = ω L = 2 π f L

where

f

is frequency.
Putting the numerical values from the question, we have

X_{L} = 50 Ω, f = 50 c p s

∴ L = \frac{X _{L}}{ω} = \frac{X _{L}}{2 π f} = \frac{50}{2 π \times 50}

= \frac{1}{2 \times 3.14} = 0.16 H

Q. The reactance of a coil when used in the AC power supply (220V,50 cycle/s) is 50Ω . The inductance of the coil is nearly

0.16 H

0.22 H

2.2 H

1.6 H

Q. The reactance of a coil when used in the $A C$ power supply ( $220 V, 50$ cycle/s) is $50 Ω$ . The inductance of the coil is nearly