Embibe Experts Solutions for Chapter: Electrostatic Potential and Capacitance, Exercise 1: Meghalaya-2018

A $700 \mathrm{pF}$ capacitor is charged by a $50 \mathrm{V}$ battery. How much electrostatic energy is stored by it?

What is the direction of electric field with respect to an equipotential surface?

An electric dipole of dipole moment $\overrightarrow{p}$ is placed in a uniform electric field of strength $\overrightarrow{E}$. If $\theta$ is the angle between the positive direction of $\overrightarrow{p}$ and $\overrightarrow{E}$, then potential energy of the dipole is largest when $\theta$ is

Derive an expression for energy stored in a charged capacitor.

Derive an expression for the electric potential at any point at a distance $r$ from the centre of an electric dipole. Hence find the potential if the point lies on 

(i) axial line and (ii) equatorial line

A dielectric slab of thickness $t$ is inserted between the plates of a parallel-plate capacitor separated by the distance $d (t<d)$. Obtain the capacitance of this capacitor.