The total energy stored in the capacitor system shown in the figure will be (in $\mu J$)

The work done in placing a charge of $8 \times 10^{-18} \, C$ on a condenser of capacity $100 \, \mu F$ is:

If $C$ is the capacitance and $V$ is the electric potential,then the dimensional formula of $C V^{2}$ is

The plates of a parallel plate capacitor have an area of $90 \,cm^{2}$ each and are separated by $2.5 \,mm$. The capacitor is charged by connecting it to a $400 \,V$ supply.
$(a)$ How much electrostatic energy is stored by the capacitor?
$(b)$ View this energy as stored in the electrostatic field between the plates,and obtain the energy per unit volume $u$. Hence arrive at a relation between $u$ and the magnitude of electric field $E$ between the plates.

$A$ $2\,\mu F$ capacitor is charged to $100\,V$ and then its plates are connected by a conducting wire. The heat produced is........$J$.

$A$ capacitor of capacitance $6 \, \mu F$ is charged up to $100 \, V$. The energy stored in the capacitor is ........ $J$.