KCET · Physics · Capacitance
A capacitor of capacitance \(10 \mu \mathrm{F}\) is charged to \(10 \mathrm{~V}\). The energy stored in it is
- A \(1 \mu \mathrm{J}\)
- B \(100 \mu \mathrm{J}\)
- C \(500 \mu \mathrm{J}\)
- D \(1000 \mu \mathrm{J}\)
Answer & Solution
Correct Answer
(C) \(500 \mu \mathrm{J}\)
Step-by-step Solution
Detailed explanation
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 \(\mathrm{U}=500 \mu \mathrm{J}\)
\(\begin{aligned}\mathrm{U}=\frac{1}{2} \mathrm{CV}^{2} &=\frac{1}{2} \times 10 \times 10^{-6} \times(10)^{2} \\&=500 \times 10^{-6} \mathrm{~J}
\end{aligned}\)
Energy stored in a capacitor \(\mathrm{U}=500 \mu \mathrm{J}\)
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