Energy Stored in a Capacitor

A parallel plate capacitor is connected to a battery which maintains a potential difference $V$ between its plates. A slab of dielectric constant $3$ is inserted between the plates of the capacitor filling the space between them. If $Q$ was the charge on the capacitor plates before insertion of the dielectric, the work done by the battery during the process of insertion of the dielectric is

A capacitor with capacitance $C$ is connected to a battery with voltage $V$ till it is fully charged. The electrical energy stored in the capacitor is $U$. The capacitor is then disconnected from the battery and connected in parallel to an uncharged capacitor with capacitance $2C$ in a parallel combination. The final electrical energy of the combination is

A commonly used (AAA) rechargeable battery has a voltage of $1.2 \mathrm{V}$ and is of$1000 \mathrm{mAh}$ (milli Ampere Hours) capacity. A capacitor has a capacitance of $100 \mathrm{F}$ and can be charged to $2.5 \mathrm{V}$$.$ It follows that

Two identical capacitors $C_1=C_2=100 \mu \mathrm{F}$ are connected through a resistance $R=1 \mathrm{k\Omega }$. Initially $C_1$ is charged to 10 Volts and $C_2$ is uncharged. At , the switch $S$ is closed and the configuration is allowed to reach equilibrium. The amount of energy dissipated across the resistance in 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