A spherical capacitor has an inner sphere of radius $12 \mathrm{c}\mathrm{m}$ and an outer sphere of radius $13 \mathrm{c}\mathrm{m}$. The outer sphere is earthed, and the inner sphere is given a charge of $2.5 \mathrm{\mu C}$. The space between the concentric spheres is filled with a liquid of dielectric constant $32$. Determine the potential of the inner sphere.

For section $AB$ of a circuit shown in figure, $C_1=1 \mathrm{\mu F},C_2=2 \mathrm{\mu F},E=10 \mathrm{V}$, and the potential difference $V_A-V_B=-10 V$. Charge on capacitor $C_1$ is:

Three capacitors $A,B$, and $C$ are connected in a circuit as shown in figure. What is the charge in $\mathrm{\mu C}$ on the capacitor $B$?

Three capacitors are connected as shown in the figure. Then, the charge on capacitor $C_1$ is

In figure, three capacitors $C_1,C_2$, and $C_3$ are joined to a battery. With symbols having their usual meaning, the correct conditions will be