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Question

Obtain the resonant frequency and Q-factor of a series LCR circuit with L = 3.0 H, C=27μF, and R=7.4Ω. It is desired to improve the sharpness of the resonance of the circuit by reducing its 'full width at half maximum' by a factor of 2. Suggest a suitable way.

Solution
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The frequency and Q factor are given by
ω=1LC=13×27=0.111rad/s
Q=1RLC=17.4327=0.045
To double Q without changing ω, reduce R to 3.7

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