A 44 mH inductor is connected to 220 V, 50 Hz A.C. supply. Determine the rms value of the current in the circuit.
Given: Inductance = 44 mH = 44 × 10-3H
Voltage V = 220 V
Frequency, v = 50 Hz
The diagram is:
Angular frequency, ω = 2πv
ω = 2 × 3.14 × 50Hz
Inductive reactance is given by the formula XL = ω × L
Substituting the value of ω from above
XL = 2 × 3.14 × 50Hz × 44 × 10-3H
The root mean square value of the current in the circuit is given as:
Irms = V/XL
Substituting the value of inductive reactance from equation (i), we get
⇒ 
⇒ Irms = 15.92 A
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