Energy Stored in a Capacitor

The total electrostatic energy stored in both the capacitors (in $\mathrm{\mu J}$) is

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.
 

An ideal capacitor of capacitance $0.2\mu F$ is charged to a potential difference of 10V. The charging battery is then disconnected. The capacitor is then connected to an ideal inductor of self inductance 0.5 mH. The current at a time when the potential difference across the capacitor is 5V is:

On increasing the plate separation of a charged capacitor,  the energy

A parallel-plate capacitor of capacitance $100 \mathrm{\mu F}$ is connected to a power supply of $200 \mathrm{V}.$ A dielectric slab of dielectric constant $5$ is now inserted into the gap between the plates. Find the change in the electrostatic energy (in $\mathrm{J}$) of the electric field in the capacitor.

Three identical large metal plates of area $A$ are at distances $2d$ and $d$($d\ll$ length of plates) from each other (refer figure). Metal plate $A$ is uncharged, while metal plates $B$ and $C$ have respective charges $+q$ and $-q.$ Metal plates $A$ and $C$ are connected by switch $K$ through a wire. The heat produced after closing the switch $K$ is $\frac{q^2 d}{P{\epsilon }_0 A}.$ Find $P\mathit{.}$

The value of ratio between the energy stored in $5 \mathrm{\mu F}$ capacitor to the $4 \mathrm{\mu F}$ capacitor in the given figure is:

A $60 \mathrm{pF}$ capacitor is fully charged by a $20 \mathrm{V}$ supply. It is then disconnected from the supply and is connected to another uncharged $60 \mathrm{pF}$ capacitor in parallel. The electrostatic energy that is lost in this process by the time the charge is redistributed between them is (in $nJ$)______.

Two capacitors with capacitance values $C_1=2000\pm 10 \mathrm{pF}$ and $C_2=3000\pm 15 \mathrm{pF}$ are connected in series. The voltage applied across this combination is $V=5.00\pm 0.02 \mathrm{V}.$ The percentage error in the calculation of the energy stored in this combination of capacitors is $\alpha$. Write the value of $\left[\alpha \right],$where $\left[ \right]$ is the greatest integer function.

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 given circuit switch $s$ is open initially. If $C=2 \mu \mathrm{F}$ and $V=3$ volt, the heat produced is $\frac{k}{10} \mathrm{\mu J}$ in the circuit after closing the switch. Find $k$.