The heat generated through $2 \, \Omega$ and $8 \, \Omega$ resistances separately, when a capacitor of $200 \, \mu F$ capacity charged to $200 \, V$ is discharged one by one, will be

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.

The work done in placing a charge of $8 \times 10^{-18} \ C$ on a capacitor of $800 \ \mu F$ is:

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

$A$ parallel plate air capacitor has capacity $C$,distance of separation between plates is $d$,and potential difference $V$ is applied between the plates. The force of attraction between the plates of the parallel plate air capacitor is

The amount of work done in increasing the voltage across the plates of a capacitor from $5 \ V$ to $10 \ V$ is $W$. The work done in increasing it from $10 \ V$ to $15 \ V$ will be (nearly):