Question

A pure inductor of 50 mH is connected to a.c. supply of 220 V, 50 Hz. Find its inductive reactance, impedance, rms current and peak current.

Answer 1

Here, `L = 50 mH = 50 xx 10^(-3) H`
`E_(v) = 220 V, V = 50 Hz`
`X_(L) = omega L = 2 pi v L`
` = 2 xx 3.14 xx 50 xx 50 xx10^(-3) ohm`
`= 15700 xx 10^(-3) ohm = 15.7 ohm`
`Z = X_(L) = 15.7 ohm`
`I_(v) = (E_(V))/(Z) = (220)/(15.7) amp = 14.0 A`
`I_(0) = sqrt 2 I_(v) = 1.414 xx 14.0 = 19.8 A`