An inductor of negligible resistance is connected to an alternating voltage source of…

PHYSICS · Subjective · CBSE · Physics · Alternating Current · Alternating Current

Problem

An inductor of negligible resistance is connected to an alternating voltage source of fixed rms value

V_{\mathrm{rms}}

. (i) Write the expression for the rms current

I_{\mathrm{rms}}

in terms of the inductive reactance. (ii) Show algebraically that if the frequency of the applied voltage is doubled, the rms current becomes half its original value. (iii) For

V_{\mathrm{rms}}=120\,\text V

L=0.30\,\text H

and initial frequency

f_1=40\,\text{Hz}

, calculate the rms current at

f_1

and at

2f_1

. (iv) Comment on the average power consumed by the inductor in both cases.

Related theory

Power in AC Circuits
AC Circuit Analysis
AC Circuit Elements
Alternating current
AC circuits with R, L, C
AC applied to an inductor

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