In a radio tuning RLC circuit,the half-power | vedclass

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(D) The quality factor $Q$ is defined as the ratio of the resonant frequency $f_r$ to the bandwidth $\Delta f$.Given half-power frequencies are $f_1 =

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$5.5$

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(D) The quality factor $Q$ is defined as the ratio of the resonant frequency $f_r$ to the bandwidth $\Delta f$.Given half-power frequencies are $f_1 = 100 \, MHz$ and $f_2 = 120 \, MHz$.The resonant frequency $f_r$ is the geometric mean of the half-power frequencies: $f_r = \sqrt{f_1 f_2} = \sqrt{100 	imes 120} = \sqrt{12000} \approx 109.54 \, MHz$.The bandwidth is $\Delta f = f_2 - f_1 = 120 - 100 = 20 \, MHz$.The quality factor is $Q = \frac{f_r}{\Delta f} = \frac{109.54}{20} = 5.477$.Rounding to the nearest option,we get $Q = 5.5$.

In a radio tuning $RLC$ circuit,the half-power frequencies are $100 \, MHz$ and $120 \, MHz$. Find the quality factor.

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