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Obtain the resonant frequency and Q factor of a series LCR circuit with L= 3.0 H, C = 27 muF and R = 7.4 omega. It is desired to improve the sharpness of resonance of the ciecuit by reducing it's full width at half maximum by a factor 2. Suggest a suitable resistance. |
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Answer» SOLUTION :`omega _0 = 1/(sqrtLC) = 1/sqrt(3.0 xx 27 xx 10^(-6))rads^-1` `= 1000/9 = 111.1 rad//s`. `Q = (omega_0L)/R = (111.1 xx 3.0)/7.4 = 45.04` |
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