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  4. A capacitor of capacitance 6 μ F is charged upto 100 V. The energy stored in the capacitor is :

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Q. A capacitor of capacitance $6\, \mu F$ is charged upto $100\, V$. The energy stored in the capacitor is :

ManipalManipal 2006Electrostatic Potential and Capacitance

Solution:

The energy stored in the capacitor is given by
$U=\frac{1}{2} C V^{2}$
Given, $C=6 \times 10^{-6} F,\, V=100\, V$
So, $U =\frac{1}{2} \times 6 \times 10^{-6} \times(100)^{2}$
$=3 \times 10^{-2} J =0.03\, J$