Question

A 44 mH inductor is connected to 220 V, 50 Hz ac supply. Determine the rms value of the current in the circuit.

Answer 1

Inductance of inductor, L = 44 mH = 44 × 10−3 H

Supply voltage, V=220 V

Frequency, ν=50 Hz

Angular frequency, ω=2πν

Inductive reactance, XL = ωL = 2πνL = 2π×50 × 44 × 10-3 Ω

rms value of current is given as:

$I=\frac{V}{XL}=\frac{220}{2πX50X44X10^{-3}}=15.92 A$

Hence, the rms value of current in the circuit is 15.92 A.