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JEE Main 2021 (27 Jul, Shift 2) · Resonance, Bandwidth & Q Factor

Resonance, Bandwidth & Q Factor question from JEE Main 2021 (27 Jul, Shift 2)

Q92JEE Main 2021 · 27 JUL · SHIFT 2Medium

Resonance, Bandwidth & Q Factor

A 100Ω\Omega resistance, a 0.1 μ\muF capacitor and an inductor are connected in series across a 250 V supply at variable frequency. Calculate the value of inductance of inductor at which resonance will occur. Given that the resonant frequency is 60 Hz.

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Answer: (d)

  1. At resonance L=14π2f2CL = \frac{1}{4\pi^2 f^2 C}.
  2. L=14×9.87×3600×0.1×10−6=10.0142L = \frac{1}{4\times9.87\times3600\times0.1\times10^{-6}} = \frac{1}{0.0142}
  3. L≈70.3L \approx 70.3 H
  4. So the answer is (d) 70.3 H.
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