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MHT CET 2026 (13 Apr, Shift 1) · Resonance, Bandwidth & Q Factor

Resonance, Bandwidth & Q Factor question from MHT CET 2026 (13 Apr, Shift 1)

Q17MHT CET 2026 · 13 APR · SHIFT 1Medium

Resonance, Bandwidth & Q Factor

A resistor of 100 $\Omega$ , inductor of self inductance $\left(\frac{4}{\pi^2}\right)$ H and a capacitor of unknown capacity are connected in series to an a.c. source of 200 V and 50 Hz. When the current and voltage are in phase, the value of capacity is

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Answer: (d)

In phase means resonance: $C = \frac{1}{\omega^2 L}$ , $\omega = 2\pi\times50 = 100\pi$ .
$C = \frac{1}{10^4\pi^2\cdot\frac{4}{\pi^2}} = \frac{1}{4\times10^{4}} = 25\times10^{-6}$ F
So the answer is (d) $25\ \mu$ F.

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