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JEE Main 2013 (23 Apr, Shift 1) · Resonance, Bandwidth & Q Factor

Resonance, Bandwidth & Q Factor question from JEE Main 2013 (23 Apr, Shift 1)

Q106JEE Main 2013 · 23 APR · SHIFT 1Medium

Resonance, Bandwidth & Q Factor

The plot given below is of the average power delivered to an LRC circuit versus frequency. The quality factor of the circuit is:

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Answer: (b)

From the graph, peak power is at $f_0 = 5\text{ kHz}$ .
Half-power points (about $0.5\ \mu$ W) are near 3.75 kHz and 6.25 kHz, so bandwidth $\Delta f \approx 2.5\text{ kHz}$ .
$Q = \frac{f_0}{\Delta f} = \frac{5}{2.5} = 2$
So the answer is (b) 2.0.

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