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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