Capacitor PYQs - Last 5 Years

What is the charge on $15 \mu F$ in the circuit given?

A capacitor of capacitance $8 \mu \mathrm{~F}$ is fully charged by connecting it to a source of 200 V . It is then disconnected from the supply and connected to an uncharged capacitor of capacitance $4 \mu \mathrm{~F}$. The electrostatic en...

Two capacitors $\mathrm{C}_1$ and $\mathrm{C}_2$ are charged to 100 V and 120 V respectively. It is found that upon connecting them together in parallel, the potential on each one of them is zero. Therefore

A network of capacitors is as shown below. If the voltage supply is 100 V , find the energy stored in the $6 \mu \mathrm{~F}$ capacitor.

$C_1=3 \mu F, C_2=6 \mu F, C_3=3 \mu F$ and $C_4=4 \mu F$

A capacitor of capacitance $4 \mu \mathrm{~F}$ is charged to a potential of 24 V and then connected in parallel to an uncharged capacitor of capacitance $6 \mu \mathrm{~F}$. The final potential difference across each capacitor will be:

By connecting two given capacitors, a technician was able to make two new capacitors having the effective capacitance $12.5 \mu \mathbf{F}$ and $2 \mu \mathbf{F}$. What would be the capacitance of the given capacitors?

When a dielectric slab of dielectric constant $\mathrm{k}=2$ is used to fill the space between the plates of a parallel plate capacitor, the capacitance of the capacitor is found to be $20 \mu \mathrm{~F}$. What will be the capacitance when...

A parallel plate capacitor is filled by a dielectric whose relative permittivity varies with the applied voltage (U) as \(\epsilon=2 U\). A similar capacitor with no dielectric is charged to \(U_0=78 \mathrm{~V}\). It is then connected to t...

The figure shows a network of five capacitors connected to a 20 V battery. Calculate the charge acquired by each 10 \(\mu\)F capacitor.

Figure below shows a network of resistors, cells, and a capacitor at steady state.

What is the current through the resistance 4 \(\Omega\) ?

A parallel plate capacitor having a dielectric constant 5 and dielectric strength \(10^6 \mathrm{~V} \mathrm{~m}^{-1}\) is to be designed with voltage rating of \(2 \mathrm{~kV}\). The field should never exceed \(10 \%\) of its dielectric s...

In the figure, first the capacitors are fully charged by closing the key \(\mathrm{K}\). Then after opening the Key a dielectric material with dielectric constant 2 is filled in the space between the plates of both the capacitor. At this s...

If \(C\) be the capacitance and \(V\) be the electric potential, then the dimensional formula of \(\mathrm{CV}^2\) is

In the figure below, the capacitance of each capacitor is \(3 \mu \mathrm{F}\). The effective capacitance between \(A\) and \(B\) is

A dielectric of dielectric constant \(K\) is introduced such that half of its area of a capacitor of capacitance \(C\) is occupied by it. The new capacity is

A capacitor of capacity \(2 ~\mu \mathrm{F}\) is charged upto a potential \(14 \mathrm{~V}\) and then connected in parallel to an uncharged capacitor of capacity \(5 ~\mu \mathrm{F}\). The final potential difference across each capacitor wi...

In the network shown in figure, the equivalent capacitance between points P and Q is

If R and C denote resistance and capacitance of a material, then the dimension of CR will be :