Q. 34.5( 24 Votes )

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

Answer :

Given: Inductance = 44 mH = 44 × 10^{-3}H

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 X_{L} = ω × L

Substituting the value of ω from above

X_{L} = 2 × 3.14 × 50Hz × 44 × 10^{-3}H

The root mean square value of the current in the circuit is given as:

I_{rms} = V/X_{L}

Substituting the value of inductive reactance from equation (i), we get

⇒

⇒ I_{rms} = 15.92 A

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

RELATED QUESTIONS :

Consider the LCR circuit shown in Fig 7.6. Find the net current i and the phase of i. Show that . Find the impedance Z for this circuit.

Physics - Exemplar