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

$A$ capacitor of capacity $50\,\mu F$ is charged to $10\;V$. Its energy is equal to:

$A$ $12 \text{ pF}$ capacitor is connected to a $50 \text{ V}$ battery. The electrostatic energy stored in the capacitor will be . . . . . . $\text{J}$.

$A$ capacitor having a capacity of $2.0 \; \mu F$ is charged to $200 \; V$ and then the plates of the capacitor are connected to a resistance wire. The heat produced in joules will be:

$A$ parallel plate capacitor has a potential of $20 \, kV$ and a capacitance of $2 \times 10^{-4} \, \mu F$. If the area of the plates is $0.01 \, m^2$ and the distance between the plates is $2 \, mm$,find the energy stored in the capacitor.

Obtain the expression for the energy stored per unit volume in a charged capacitor.