An circuit has a fixed inductance and resistance

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

Problem

RLC

circuit has a fixed inductance

L = 0.10\,\text{H}

and resistance

R = 40\,\Omega

. The capacitor can be switched between two values,

C_1 = 10\,\mu\text{F}

and

C_2 = 40\,\mu\text{F}

, to tune the circuit to two different radio stations. The circuit is connected to a

220\,\text{V}

(rms) supply. (a) Calculate the resonant frequency for each capacitor setting. (b) Determine the rms current in the circuit at resonance for each setting. (c) By what factor does the maximum current change when the capacitor is switched from

C_1

C_2

Related theory

Resonance in AC Circuits
AC Circuit Analysis
Resonance and LC oscillations
Alternating Current

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