Capacitor

Three identical capacitors, $P, Q$ and $S$, each of the capacitance $C$, are connected to a battery of voltage $V$, as shown in the figure. If the energy stored in the capacitor $P$ and total energy stored in the system are $U_P$ and $U_T$,...

Five capacitors of capacitances
$C_1=C_2=C_3=C_4=10 \mu \mathrm{~F}$ and $C_5=2.5 \mu \mathrm{~F}$ are connected as shown, along with a battery of 50 V .
The equivalent capacitance and the charges on each capacitor respectively are:

Consider two uncharged capacitors of equal capacitance 200 pF . One of them is charged by a 100 V supply and disconnected. Now this capacitor is connected to the uncharged capacitor. The amount of electrostatic energy lost in the process is...

The plates of a parallel plate capacitor are separated by $d$. Two slabs of different dielectric constant $K_1$ and $K_2$ with thickness $\frac{3}{8} d$ and $\frac{d}{2}$, respectively are inserted in the capacitor. Due to this, the capacit...

The steady state current in the circuit shown below is :

The capacitance of a capacitor with charge \(q\) and a potential difference \(V\) depends on

A \(12 \mathrm{~pF}\) capacitor is connected to a \(50 \mathrm{~V}\) battery, the electrostatic energy stored in the capacitor in \(\mathrm{nJ}\) is

In the following circuit, the equivalent capacitance between terminal A and terminal B is :

If the plates of a parallel plate capacitor connected to a battery are moved close to each other, then
A. the charge stored in it, increases.
B. the energy stored in it, decreases.
C. its capacitance increases.
D. the ratio of charge to its...

To produce an instantaneous displacement current of \(2 \mathrm{~mA}\) in the space between the parallel plates of a capacitor of capacitance \(4 ~\mu \mathrm{F}\), the rate of change of applied variable potential difference $$\left(\frac{\...

The equivalent capacitance of the arrangement shown in figure is:

The equivalent capacitance of the system shown in the following circuit is:

The effective capacitances of two capacitors are 3 \(\mu\)F and 16 \(\mu\)F, when they are connected in series and parallel respectively. The capacitance of two capacitors are :

The distance between the two plates of a parallel plate capacitor is doubled and the area of each plate is halved. If C is its initial capacitance, its final capacitance is equal to

A capacitor of capacitance C = 900 pF is charged fully by 100 V battery B as shown in figure (a). Then it is disconnected from the battery and connected to another uncharged capacitor of capacitance C = 900 pF as shown in figure (b). The el...

The equivalent capacitance of the combination shown in the figure is :

A parallel plate capacitor has a uniform electric field \(\overrightarrow E\) in the space between the plates. If the distance between the plates is 'd' and the area of each plate is 'A', the energy stored in the capacitor is : ($$\varepsi...

The capacitance of a parallel plate capacitor with air as medium is 6\(\mu\)F. With the introduction of a dielectric medium, the capacitance become 30 \(\mu\)F The permittivity of the medium is :$$\left( {{\varepsilon _0} = 8.85 \times {{...

A parallel plate capacitor of capacitance 20 \(\mu\)F is being charged by a voltage source whose potential is changing at the rate of 3V/s. The conduction current through the connecting wires, and the displacement current through the plat...

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

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

A parallel-plate capacitor of area a, plate separation d and capacitance C is filled with four dielectric materials having dielectric constants k1, k2, k3 and k4 as shown in the figure. If a single dielectric material is to be used to have ...

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

A parallel plate air capacitor has capacity C, distance of separation between plates is d and potential difference \(V\) is applied between the plates. Force of attraction between the plates of the parallel plate air capacitor is

Two thin dielectric slabs of dielectric constants K1 and K2(K1 < K2) are inserted between plates of a parallel plate capacitor, as shown in the figure. The variation of electric field E between the plates with distance d as measured from pl...

A parallel plate capacitor has a 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

A parallel plate capacitor has a 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

A series combination of n1 capacitors, each of value C1, is charged by a source of potential difference 4V. When another parallel combination of n2 capacitors, each of value C2, is charged by a source of potential difference V, it has the...

Two parallel metal plates having charges +Q and \(-\)Q face each other at a certain distance between them. If the plates are now dipped in kerosene oil tank, the electric field between the plates will

Three capacitors each of capacitance C and of breakdown voltage V are joined in series. The capacitance and breakdown voltages of the combination will be

A parallel plate capacitor has a 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 condensers, one of capacity C and other of capacity C/2 are connected to a V-volt battery, as shown in the figure. The work done in charging fully both the condensers is

A parallel plate air capacitor is charged to a potential difference of V volts. After disconnecting the charging battery the distance between the plates of the capacitor is increased using an insulting handle. As a result the potential diff...

A network of four capacitors of capacity equal to C1 = C, C2 = 2C, C3 = 3C and C4 = 4C are connected to a battery as shown in the figure. The ratio of the charges on C2 and C4 is

Three capacitors each of capacity 4 \(\mu\)F are to be connected in such a way that the effective capacitance is \(6\mu F.\) This can be done by

A capacitor of capacity C1 charged upto V volt and then connected to an uncharged capacitor of capacity C2. The final potential difference across each will be

Energy per unit volume for a capacitor having area A and separation d kept at potential difference V is given by

A capacitor is charged with a battery and energy stored is U. After disconnecting battery another capacitor of same capacity is connected in parallel to the first capacitor. Then energy stored in each capacitor is