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Question: Answered & Verified by Expert
A $10 \mathrm{mF}$ capacitor has been charged to a potential of $100 \mathrm{~V}$. Suddenly if it explodes, the energy given out is
PhysicsCapacitanceCOMEDKCOMEDK 2014
Options:
  • A $50 \mathrm{~J}$
  • B $10^{5} \mathrm{~J}$
  • C $50 \mathrm{~mJ}$
  • D $10^{3} \mathrm{~J}$
Solution:
1291 Upvotes Verified Answer
The correct answer is: $50 \mathrm{~J}$
Given, capacitance, $C=10 \mathrm{mF}=10^{-2} \mathrm{~F}$
Potential, $V=100 \mathrm{~V}$
When capacitor explodes, then its whole stored potential energy is given out in the form of heat and lightning.
$$
\therefore \quad E_{\text {out }}=\frac{1}{2} C V^{2}=\frac{1}{2} \times 10^{-2} \times(100)^{2}=50 \mathrm{~J}
$$

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