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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)

Q22MHT CET 2026 · 13 APR · SHIFT 1Medium

Resonance, Bandwidth & Q Factor

In series LCR circuit C = 2 uF, L=1 mH and R= 10 Ω\Omega. What is the ratio of energies stored in the capacitor and inductor when maximum current flows through circuit?

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Answer: (c)

  1. At maximum current dIdt=0\frac{dI}{dt} = 0, so VC=IRV_C = IR.
  2. UCUL=12CI2R212LI2=CR2L\frac{U_C}{U_L} = \frac{\frac{1}{2}CI^2R^2}{\frac{1}{2}LI^2} = \frac{CR^2}{L}
  3. UCUL=2×10−6×10010−3=0.2\frac{U_C}{U_L} = \frac{2\times10^{-6}\times100}{10^{-3}} = 0.2
  4. So the answer is (c) 0.2:10.2 : 1.
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