Capacitor PYQs - Last 10 Years

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

In the circuit shown in the figure, the potential difference across the $4 \mu\text{F}$ capacitor is

A capacitor of capacitance $5 \mu \mathrm{~F}$ is charged by a battery of emf 10 V . At an instant of time, the potential difference across the capacitors is 4 V and the time rate of change of potential difference across the capacitor is $0...

A parallel plate capacitor of capacitance \(C_1\) with a dielectric slab in between its plates is connected to a battery. It has a potential difference \(V_1\) across its plates. When the dielectric slab is removed, keeping the capacitor co...

Five capacitance each of value \(1 ~\mu \mathrm{F}\) are connected as shown in the figure. The equivalent capacitance between \(A\) and \(B\) is

A parallel place capacitor is charged by connecting a \(2 \mathrm{~V}\) battery across it. It is then disconnected from the battery and a glass slab is introduced between plates. Which of the following pairs of quantities decrease?

In figure, charge on the capacitor is plotted against potential difference across the capacitor. The capacitance and energy stored in the capacitor are respectively.

Eight drops of mercury of equal radii combine to form a big drop. The capacitance of a bigger drop as compared to each smaller drop is

An electrician requires a capacitance of \(6 \mu \mathrm{F}\) in a circuit across a potential difference of \(1.5 \mathrm{~kV}\). A large number of \(2 \mu \mathrm{F}\) capacitors which can withstand a potential difference of not more than ...

If a slab of insulating material (conceptual). \(4 \times 10^{-3} \mathrm{~m}\) thick is introduced between the plates of a parallel plate capacitor, the separation between the plates has to be increased by $$3.5 \times 10^{-3} \mathrm{~m}$...

The difference between equivalent capacitances of two identical capacitors connected in parallel to that in series is \(6 \mu \mathrm{F}\). The value of capacitance of each capacitor is

The equivalent capacitance between A and B is

A capacitor of capacitance \(C\) charged by an amount \(Q\) is connected in parallel with an uncharged capacitor of capacitance \(2 C\). The final charges on the capacitors are

For the arrangement of capacitors as shown in the circuit, the effective capacitance between the points $A$ and $B$ is (capacitance of each capacitor is $4 \mu \mathrm{~F}$ )

Two capacitors of $3 \mu \mathrm{~F}$ and $6 \mu \mathrm{~F}$ are connected in series and a potential difference of 900 V is applied across the combination. They are then disconnected and reconnected in parallel. The potential difference ac...

A system of two capacitors of capacitance $2 \mu \mathrm{~F}$ and $4 \mu \mathrm{~F}$ is connected in series across a potential difference of 6 V . The electric charge and energy stored in a system are

The minimum value of effective capacitance that can be obtained by combining 3 capacitors of capacitances $1 \mathrm{pF}, 2 \mathrm{pF}$ and 4 pF