Energy Stored in Capacitor

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:

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 $k$.

The energy stored in the capacitor is $\left(\frac{k}{10}\mathrm{\mu J}\right)$ between terminals 'a' and 'b' of the network (as shown in figure)? If capacitance of each capacitor is $1 \mathrm{\mu F}.$ Find $k$.

A $600 \mathrm{\mu F}$ capacitor is charged by $250 \mathrm{V}$ battery
(a) How much electrostatic energy is stored in capacitor?
(b) The capacitor is disconnected from battery and connected to another $600 \mathrm{\mu F}$ capacitor. What is the energy of the system?

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

A $10 \mathrm{\mu F}$ capacitor is connected to a $100 \mathrm{V}$ battery. What is the electrostatic energy stored (in joule)?

If $n$ capacitors each of capacitance $C$ are connected in series with a battery of $V \mathrm{volt}$, then energy stored in all capacitors will be

A capacitor of capacitance $1$ $\mathrm{mF}$ originally charged to a potential difference of $10$ $\mathrm{V}$ is connected to an inductor of inductance $L$. If the maximum current in the circuit is $10$ $\mathrm{A}$, find the value of inductance $L$ in $\mathrm{mH}$. (Assume inductor to be ideal).

Energy is stored in a capacitor because electrostatic force is a,

A.DC circuit consisting of two cells of emf $V$ and $2V$ having no internal resistance are connected with two capacitors of capacity $C$ and $2C$ and four resistors $R, R, 2R$and $2R$ as shown in figure. The ammeter and voltmeter used in the circuit are ideal.

In steady state, the energy stored by the capacitor $\mathrm{C}$ is

A $10$ microfarad capacitor is charged to $500 \mathrm{V}$ and then its plates are joined together through a resistance of $10 \mathrm{\Omega }$. The heat produced in the resistance is _____ $\mathrm{J}$.

Write an expression for energy stored in charged capacitors. Explain its different forms.

In the given circuit, calculate the total heat generated after switch $\mathrm{S}$ is closed (Initially the capacitor of capacitance $\mathrm{C}$ is uncharged) -

A series combination of $n_1$ capacitors, each of value $C_1$, is charged by a source of potential difference $4\mathrm{ }\mathrm{V}$. When another parallel combination of $n_2$ capacitors, each of value $C_2$, is charged by a source of potential difference $\mathrm{V}$, it has the same (total) energy stored in it, as the first combination has. The value of $C_2$, in terms of $C_1$, is then