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JEE Main 2013 (22 Apr, Shift 1) · Resonance, Bandwidth & Q Factor

Resonance, Bandwidth & Q Factor question from JEE Main 2013 (22 Apr, Shift 1)

Q107JEE Main 2013 · 22 APR · SHIFT 1Difficult

Resonance, Bandwidth & Q Factor

An LCR circuit as shown in the figure is connected to a voltage source $V_{ac}$ whose frequency can be varied. The frequency, at which the voltage across the resistor is maximum, is:

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Answer: (c)

Voltage across $R$ is maximum when current is maximum, i.e. at resonance.
$f_0 = \frac{1}{2\pi\sqrt{LC}} = \frac{1}{2\pi\sqrt{24\times2\times10^{-6}}} = \frac{1}{2\pi\times6.93\times10^{-3}}$
$f_0 \approx 23\text{ Hz}$
So the answer is (c) 23 Hz.

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