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MHT CET 2025 (21 Apr, Shift 1) · LC Oscillations

LC Oscillations question from MHT CET 2025 (21 Apr, Shift 1)

Q7MHT CET 2025 · 21 APR · SHIFT 1Medium

LC Oscillations

If maximum energy is stored in a capacitor at t=0t = 0 then the time after which, current in the circuit will be maximum is

Figure

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Answer: (c)

  1. Energy goes from fully electric to fully magnetic in a quarter period: t=T4=π2LCt = \frac{T}{4} = \frac{\pi}{2}\sqrt{LC}
  2. LC=16×10−3×10×10−6=1.6×10−7=16×10−8⇒LC=4×10−4 sLC = 16\times10^{-3} \times 10\times10^{-6} = 1.6\times10^{-7} = 16\times10^{-8} \Rightarrow \sqrt{LC} = 4\times10^{-4}\text{ s}
  3. t=π2×4×10−4=2π×10−4 st = \frac{\pi}{2} \times 4\times10^{-4} = 2\pi\times10^{-4}\text{ s}
  4. So the answer is (c).
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