A series – – circuit contains a inductor

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

Problem

A series RR–LL–CC circuit contains a 0.20 H0.20\,\text{H} inductor, a 50 μF50\,\mu\text{F} capacitor and a 20 Ω20\,\Omega resistor connected to a 220 V220\,\text{V} (rms) AC mains supply whose frequency can be adjusted. (i) Calculate the frequency at which the circuit is in resonance. (ii) Find the rms current in the circuit at this frequency. (iii) Determine the rms current when the supply frequency is reduced to 75%75\% of the resonant frequency.

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