Capacitor PYQs - Last 10 Years

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