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GATE 2022 IN – Question 33

Electrical Circuits and Machines · AC circuits and resonance · 1 mark · Numerical answer

For the bandpass-filter circuit shown, $R_0=50\ \Omega$, $L_0=1$ mH, and $C_0=10$ nF. Its Q factor is ______ (two decimal places).

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Correct answer: 6.22 to 6.42

Explanation

Q=ω0L/R=(1/R)√(L/C). Substituting 1 mH, 10 nF and 50 Ω gives √100000/50=6.32456, hence **6.32**.