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AIIMS 201926 May
Exam
AIIMS
Year
2019
Date
26 May
Subject
Physics
Chapter
Capacitance

AIIMS 2019 · 26 May · Physics · Capacitance

If maximum energy is stored in capacitor at t=0 , then find the...

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

Options

  1. Aπ2 ms\frac{\pi}{2} \mathrm{~ms}
  2. Bπ4 ms\frac{\pi}{4} \mathrm{~ms}
  3. Cπms\pi \mathrm{ms}
  4. D2 ms2 \mathrm{~ms}

Correct answer

B. π4 ms\frac{\pi}{4} \mathrm{~ms}

Step-by-step solution

In L−CL-C oscillations, total time in one complete cycle is, T=2πLCT=2 \pi \sqrt{L C}T=2π25×10−3×10×10−6⇒T=2π25×10−8=π×10−3sec\begin{aligned} & T=2 \pi \sqrt{25 \times 10^{-3} \times 10 \times 10^{-6}} \\ & \Rightarrow T=2 \pi \sqrt{25 \times 10^{-8}} \\ & =\pi \times 10^{-3} \mathrm{sec}\end{aligned}$AftertimeAfter timeT / 4capacitorisfullydischargedandcurrentincircuitwillbemaximum,thencapacitor is fully discharged and current in circuit will be maximum, then\frac{T}{4}=\frac{\pi \times 10^{-3}}{4}=\frac{\pi}{4} \mathrm{~ms}$
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