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MHT CET 2024 (3 May, Shift 2) · Resonance, Bandwidth & Q Factor

Resonance, Bandwidth & Q Factor question from MHT CET 2024 (3 May, Shift 2)

Q52MHT CET 2024 · 3 MAY · SHIFT 2Medium

Resonance, Bandwidth & Q Factor

A series LCR circuit containing a resistance ' R ' has angular frequency ' ω\omega '. At resonance the voltage across resistance and inductor are ' VRV_R ' and ' VLV_L ' respectively, then value of inductance ' LL ' will be

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Answer: (d)

  1. I=VRRI = \frac{V_R}{R} and VL=IωLV_L = I\omega L.
  2. L=VLIω=VLRVRωL = \frac{V_L}{I\omega} = \frac{V_L R}{V_R\omega}
  3. So the answer is (d) VLRVRω\frac{V_L R}{V_R\omega}.
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