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MHT CET 2025 (23 Apr, Shift 2) · Capacitors in DC Circuits & RC

Capacitors in DC Circuits & RC question from MHT CET 2025 (23 Apr, Shift 2)

Q8MHT CET 2025 · 23 APR · SHIFT 2Medium

Capacitors in DC Circuits & RC

A 4 μF4\ \mu\text{F} capacitor is charged to 10 V. The battery is then disconnected and a pure 10 mH coil is connected across the capacitor so that LC oscillations are set up. The maximum current in the coil is

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Answer: (a)

  1. Energy conservation: 12CV2=12LImax2⇒Imax=VCL\dfrac{1}{2}CV^2 = \dfrac{1}{2}LI_{max}^2 \Rightarrow I_{max} = V\sqrt{\dfrac{C}{L}}
  2. Imax=104×10−610×10−3=10×0.02I_{max} = 10\sqrt{\dfrac{4\times10^{-6}}{10\times10^{-3}}} = 10\times0.02
  3. So the answer is (a) 0.2 A.
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