The reactance of a coil when used in the domestic AC power supply `(220V,50cycl es)` is `50ohm`. The inductance of the coil is nearly

Options

A. 0.16 H
B. 0.22 H
C. 2.2 H
D. 1.6 H

Answer

A

Explanation

Reactance of the coil or inductive reacctance is given as, `X_(L)=omegaL=2pifL`
where, f is frequency.
Given, `X_(L)=50Omega,f=50`cps
`therefore L=(X_(L))/(omega)=(X_(L))/(2pif)=(50)/(2pixx50)=(1)/(2xx3.14)=0.16H`