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MHT CET 2021 (24 Sep, Shift 2) · Energy Stored & Force between Plates

Energy Stored & Force between Plates question from MHT CET 2021 (24 Sep, Shift 2)

Q26MHT CET 2021 · 24 SEP · SHIFT 2Easy

Energy Stored & Force between Plates

A battery is used to charge a parallel plate capacitor till the potential difference between the plates becomes equal to the e.m.f. of the battery. The ratio of the energy stored int he capacitor to the work done by the battery will be

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Answer: (b)

  1. Charge delivered Q=CEQ = CE; battery work W=QE=CE2W = QE = CE^2.
  2. Energy stored U=12CE2U = \frac{1}{2}CE^2 (the other half is lost as heat).
  3. UW=12\frac{U}{W} = \frac{1}{2}
  4. So the answer is (b) 12\frac{1}{2}.
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