A series LCR circuit is required to resonate at with a quality factor of

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

Problem

A series LCR circuit is required to resonate at 200 kHz200\,\text{kHz} with a quality factor of 5050. The coil has a resistance of 2 Ω2\,\Omega, while its inductance and the circuit capacitance are yet to be decided. (a) (i) Calculate the inductance that satisfies the given quality factor. (b) (ii) For this inductance, find the capacitance needed to obtain resonance at 200 kHz200\,\text{kHz}. (c) Express inductance in μH\mu\text{H} and capacitance in nF\text{nF}, each correct to two significant figures.

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