A parallel plate condenser has a uniform electric field $\mathrm{E} (\mathrm{V}/\mathrm{m})$ in the space between the plates. If the distance between the plates is $\mathrm{d} \left(\mathrm{m}\right)$ and area of each plate is $\mathrm{A} \left({\mathrm{m}}^2\right)$ the energy $\left(\mathrm{joules}\right)$stored in the condenser is : 

A parallel plate  capacitor has uniform electric field  $E$ in the space between the plates.If the distance between the plates is $d$ and area of each plate is  $A$, the energy stored in the capacitor is ;

Two thin dielectric slabs of dielectric constants $K_1$ and $K_2\left({ K}_1<K_2\right)$ are inserted between plates of a parallel plate capacitor, as shown in the figure. The variation of electric field $\text{'}E\text{'}$ between the plates with distance $\text{'}d\text{'}$ as measured from plate $P$ is correctly shown by:

A parallel plate air capacitor of capacitance $C$ is connected to a cell of emf $V$ and then disconnected from it. A dielectric slab of dielectric constant $K$, which can just fill the air gap of the capacitor, is now inserted in it. Which of the following is incorrect? 

A capacitor of $2\mu F$ is charged as shown in the diagram. When the switch $S$ is turned to position $2 ,$ the percentage of its stored energy dissipated is :

A parallel- plate capacitor of area $\mathrm{A},$plate separation $\mathrm{d}$ and capacitance $\mathrm{C}$ is filled with four dielectric materials having dielectric constant ${\mathrm{k}}_1, {\mathrm{k}}_2, {\mathrm{k}}_3$ and ${\mathrm{k}}_4$ as shown in the figure below. If a single dielectric material is to be used to have the same capacitance $\mathrm{C}$ in this capacitor, then its dielectric constant $\mathrm{k}$ is given by 

A capacitor is charged by a battery. The battery is removed and another identical uncharged capacitor is connected in parallel. The total electrostatic energy of resulting system

The electrostatic force between the metal plates of an isolated parallel plate capacitor $C$ having a charge $Q$ and area $A$, is 

The figure shows an experimental plot discharging of a capacitor in an $RC$ circuit. The time constant $\tau$ of this circuit lies between :