Energy Stored in a Capacitor

A parallel plate capacitor having plate area $25{ \mathrm{cm}}^2$ and separation $1 \mathrm{mm}$ is connected to a battery of $6 \mathrm{V}$, the work done by the battery during the process is

In the given circuit, find the heat generated if switch $S$ is closed.

Two capacitors one of capacity $C$ and the other of capacity $\frac{C}{2}$, are connected to a $V$ volt battery, as shown. Work done by the battery in charging of this combination will be:

The heat generated through $2 \mathrm{\Omega }$ and $8 \mathrm{\Omega }$ resistances separately, when a condenser of $200 \mu \mathrm{F}$ capacity charged to $200 \mathrm{V}$ is discharged one by one, will be

The area of each plate of parallel plate air capacitor is $150 {\mathrm{cm}}^2$. The distance between its plates is $0.8\mathrm{mm}$ It is charged to a pot. Diff of $1200 \mathrm{V}$. What will be its energy ? What wil be the energy when it is filled with a medium of $\mathrm{K}=3$.

When a dielectric of dielectric constant $\mathrm{K}$ is placed in between the plates of the parallel plate condenser while it is connected with the source of potential, then

A parallel plate capacitor is charged by a battery and the battery remains connected, a dielectric slab is inserted in the space between the plates. Explain what changes if any, occur in the values of the electric field between the plates and the energy stored in the capacitor.

A parallel plate capacitor is charged by a battery and the battery remains connected, a dielectric slab is inserted in the space between the plates. Explain what changes if any, occur in the values of the capacity of the capacitor.
 

A parallel capacitor is charged by a battery. The battery is disconnected, and a dielectric slab (K is the dielectric constant of the slab) is inserted to completely fill the space between the plates then its capacitance increase by

The work done in placing a charge of $8\times {10}^{-18}\mathrm{C}$ on a capacitor of capacitance $100\mathrm{\mu F}$ is

The capacitor of capacitance $C$ in the circuit shown is fully charged initially, Resistance is $R$.

After the switch $S$ is closed, the time taken to reduce the stored energy in the capacitor to half its initial value is: 

The maximum charge stored on a metal sphere of radius $15 \mathrm{cm}$ may be $7.5 \mathrm{\mu C}$. The potential energy of the sphere in this case is

The capacity of a capacitor is $4\times {10}^{-6} \mathrm{F}$ and its potential is $100 \mathrm{V}$. The energy released on discharging it fully will be

Two concentric conducting shells of radius $R$ and $2R$are shown in the figure below. The inner shell is charged with $Q$ and the outer shell is uncharged. The amount of energy dissipated when the shells are connected by a conducting wire is

Three plates $A$, $B$ and $C$, each of area $50 {\mathrm{cm}}^2$, have separation $3 \mathrm{mm}$ between $A$ and $B$ and $3 \mathrm{mm}$ between $B$ and $C$. The energy stored when the plates are fully charged is

A parallel plate capacitor having a plate separation of $2 \mathrm{mm}$ is charged by connecting it to a $300 \mathrm{V}$ supply. The energy density is

In the figure, an arrangement of three identical capacitors is shown with a switch $S$ and a battery $B$. The ratio of the energy of the capacitors system when the switch is closed to the situation when the switch is open

A capacitor of capacitance $20 \mathrm{\mu F}$ is charged to a potential of $500 \mathrm{V}$. Calculate the charge and energy stored in a capacitor.

A capacitor of capacitance $20 \mathrm{\mu F}$ is charged to a potential of $500 \mathrm{V}$. Calculate the charge and energy stored in a capacitor.

In an oscillating $LC$ circuit when $75 \%$ of their total energy is stored in the inductor's magnetic field, the charge on the capacitor as fraction of maximum charge on it is