Three identical charged capacitors each of capacitance $5 \mathrm{\mu F}$ are connected as shown in figure. Potential difference across capacitor $\left(3\right),$ long time after the switches ${\mathrm{K}}_1$ and ${\mathrm{K}}_2$ are closed, is

Three different dielectrics are filled in a parallel plate capacitor as shown. What should be the dielectric constant of a material, which when fully filled between the plates produces same capacitance?

Seven identical plates each of area $A$ and successive separation $d$ are arranged as shown in figures. The effective capacitance of the system between $P \& Q$ is

Find the charge on capacitor ${\mathrm{C}}_3$

Given, that ${\mathrm{C}}_1={\mathrm{C}}_2=\mathrm{C}$ and ${\mathrm{C}}_3={\mathrm{C}}_4=3\mathrm{C}$.

The net capacitance of a system of capacitance as shown in the figure between points $A$ and $B$ is

As in the figure, if a capacitor of capacitance $\text{'}\mathrm{C}\text{'}$ is charged by connecting it with resistance $\mathrm{R},$ then energy given by the battery will be

energy