Two capacitors,one of capacity $\frac{C}{2}$ and the other of capacity $C$,are connected to a battery of voltage $V$ as shown. The work done in charging both the capacitors fully is

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

Three plates $A, B, C$ each have an area of $50 \, cm^2$ and the distance between them is $3 \, mm$. Find the energy stored in the system when the plates are fully charged.

$A$ parallel plate capacitor has plate area $A$ and separation between plates is $d$. It is charged to a potential difference of $V_0$ volt. The charging battery is then disconnected and plates are pulled apart to three times the initial distance. The work done to increase the distance between the plates is $(\varepsilon_0 = \text{permittivity of free space})$

$A$ $5.0 \mu F$ capacitor is charged to a potential difference of $800 V$ and discharged through a conductor. The energy (in $J$) given to the conductor during the discharge is:

$A$ parallel plate capacitor carries a charge $q$. The distance between the plates is doubled by the application of a force. The work done by the force is