A resistor is connected in series with a inductor to a (rms) AC source.

PHYSICS · Multi-part · CBSE · Physics · Alternating Current · Alternating Current

Problem

30\,\Omega

resistor is connected in series with a

0.15\,\text{H}

inductor to a

240\,\text{V}

(rms) AC source. (i) For a supply frequency of

50\,\text{Hz}

, calculate the inductive reactance, impedance, rms current, power factor, and average power consumed. (ii) The supply frequency is now increased to

100\,\text{Hz}

without changing the source voltage. Recalculate the quantities listed in (i) for the new frequency. (iii) Determine the ratios

I_{100}/I_{50}

and

P_{100}/P_{50}

, where the subscripts refer to the two operating frequencies. (iv) Based on your results, explain how increasing frequency affects both current and power in a series

R

–

L

circuit, and comment on whether the circuit becomes more resistive or inductive in behaviour.

Related theory

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

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