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Question: Answered & Verified by Expert
A capacitor of capacitance $10 \mu \mathrm{F}$ is charged to $10 \mathrm{~V}$. The energy stored in it is
PhysicsCapacitanceKCETKCET 2012
Options:
  • A $1 \mu \mathrm{J}$
  • B $100 \mu \mathrm{J}$
  • C $500 \mu \mathrm{J}$
  • D $1000 \mu \mathrm{J}$
Solution:
1187 Upvotes Verified Answer
The correct answer is: $500 \mu \mathrm{J}$
Energy stored in capacitor,
$$
\begin{aligned}
\mathrm{U}=\frac{1}{2} \mathrm{CV}^{2} &=\frac{1}{2} \times 10 \times 10^{-6} \times(10)^{2} \\
&=500 \times 10^{-6} \mathrm{~J}
\end{aligned}
$$
Energy stored in a capacitor $\mathrm{U}=500 \mu \mathrm{J}$

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