For a particular series circuit, ,

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

Problem

For a particular series

RLC

circuit,

R = 10\,\Omega

L = 0.10\,\text{H}

C = 25\,\mu\text{F}

and the peak value of the applied sinusoidal voltage is

100\,\text{V}

. The circuit is operated successively at two different frequencies

f_1 = 200\,\text{Hz}

and

f_2 = 800\,\text{Hz}

. (a) Calculate the impedance of the circuit at

f_1

. (b) Calculate the impedance of the circuit at

f_2

. (c) Hence find the ratio of the peak currents

I_{m,1}:I_{m,2}

at the two frequencies. (d) Which of the two frequencies is closer to the resonant frequency of the circuit? Justify your choice with reference to the results obtained.

Related theory

Resonance in AC Circuits
AC Circuit Analysis
Alternating current
Series LCR circuit
AC applied to a series LCR circuit

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