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  4. A battery does 200 J of work in charging a capacitor. The energy stored in the capacitor is

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Q. A battery does $200 \,J$ of work in charging a capacitor. The energy stored in the capacitor is

Electrostatic Potential and Capacitance

Solution:

$U=\frac{1}{2} C v^{2}$
$W=C v^{2}$
$U=\frac{W}{2}=100\, J$
(half of work is lost in heat)