Capacitor - Electromagnetism - Physics Previous Year Questions

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

The equivalent capacitance between A and B is

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

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 \(3.5 \times 10^{-3} \mathrm{~m}\) to restore the capacity to original value. The dielectric constant of the material will be

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 \(500 \mathrm{~V}\) are available. The minimum number of capacitors required for the purpose is

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

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?

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 connected to the battery, the new capacitance and potential difference are \(C_2\) and \(V_2\) respectively, Then

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 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 $0.6 \mathrm{Vs}^{-1}$. Then, the time rate at which energy is stored the capacitor at $\geq$ instant is