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

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

Q2MHT CET 2026 · 13 MAY · SHIFT 1Easy

Resonance, Bandwidth & Q Factor

What is the value of inductance L for which the current is maximum in series LCR circuit with C=10 μC = 10\ \muF and ω=1000\omega = 1000/s?

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Answer: (a)

  1. Current is maximum at resonance: ω2=1LC\omega^2 = \dfrac{1}{LC}.
  2. L=1ω2C=1106×10−5=0.1 HL = \dfrac{1}{\omega^2 C} = \dfrac{1}{10^6 \times 10^{-5}} = 0.1\text{ H}
  3. So the answer is (a) 100100 mH.
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