NCERT Solutions for Chapter: Electrostatic Potential and Capacitance, Exercise 3: SA

Three point charges$-q, + q$ and $- q$ are placed along a straight line at an equal distance $r$. Then the electrostatic potential energy of this system of charges, when positive charge is at one end will be?

Prove that a closed equipotential surface with no charge within itself must enclose an equipotential volume.

Define electric potential due to a point charge and arrive at the expression for the electric potential at a point due to a point charge in its vicinity.

Calculate the potential energy of a point charge $-\mathrm{q}$ placed along the axis due to a charge $+\mathrm{Q}$ uniformly distributed along a ring of radius $a$. Sketch P.E. as a function of axial distance  $\mathrm{z}$ from the centre of the ring. Looking at the graph, can you see what would happen if $-\mathrm{q}$ is displaced slightly from the center of the ring (along the axis)?

Calculate potential on the axis of a ring due to charge $\mathrm{Q}$ Uniformly distributed along the ring of radius $\mathrm{R}$.