Physics Electrostatic Potential and Capacitance

Three capacitors each of capacitance C = 2μF are connected with a battery of emf 30V as shown in the figure. When the switch S is closed, the heat generated in circuit will be n/10 mJ. Find the value of n.

Twenty seven drops of same size are charged at 220 V each. They combine to form a bigger drop. Calculate the potential of the bigger drop.

A dielectric slab of dielectric constants k is slowly inserted inside the parallel plate capacitor having plate area A and separation between plates d as shown in figure. If dimensions of dielectric slab is same as plates of capacitor and capacitor is connected through the battery, then work done by agent will be (C = ε₀ A/d)

An electric dipole is placed as shown in the figure.

The electric potential (in 102 V ) at point P due to the dipole is $\left({?}_0=\right.$ permittivity of free space and $\left.\frac{1}{4\pi {?}_0}=K\right)$  :

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

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

A dipole is placed in an electric field ns shown. In which direction will it move?

Two charged spherical conductors of radius R₁ and R₂ are connected by a wire. Then the ratio of surface charge densities of the spheres (σ₁/σ₂) is:

The truth table for the given logic circuit is:

An electric dipole is placed as shown in the figure

The electric potential (in $102\mathrm{V}$ ) at point $\mathrm{P}$ due to the dipole is $\left({?}_0=\right.$ permittivity of free space and $\left.\frac{1}{4\pi {?}_0}=K\right)$  :