If the potential of a capacitor having capacity of $6\,\mu F$ is increased from $10\,V$ to $20\,V$,then the increase in its energy will be:

Two capacitors $C_1$ and $C_2$ are connected in parallel to a battery. The charge-time graph is shown below for the two capacitors. The energy stored in them is $U_1$ and $U_2$,respectively. Which of the given statements is true?

$A$ capacitor of capacitance $C$ is fully charged. It is discharged through a small coil of negligible resistance embedded in a thermally insulated block of mass $m$ and specific heat capacity $S$. If the temperature of the block rises by $\Delta T$,find the potential difference across the capacitor.

$A$ charge of $40\,\mu C$ is given to a capacitor having capacitance $C = 10\,\mu F$. The stored energy in ergs is

$A$ parallel plate capacitor of capacitance $1 \ \mu F$ is charged to a potential difference of $20 \ V$. The distance between the plates is $1 \ \mu m$. The energy density between the plates of the capacitor is:

The charge $q$ on a capacitor varies with voltage $V$ as shown in the figure. The area of the triangle $AOB$ is proportional to