Equipotential Surfaces

Draw equipotential surfaces for (i) an electric dipole and (ii) two identical positive charges placed near each other.

The top of the atmosphere is at about 400 kV with respect to the surface of the earth, corresponding to an electric field that decreases with altitude. Near the surface of the earth, the field is about 100 Vm⁻¹. Why then do we not get an electric shock as we step out of our house into the open? (Assume the house to be a steel cage so there is no field inside!)

The diagrams below show regions of equipotentials.

(i)	(ii)
(iii)	(iv)

A positive charge is moved from A to B in each diagram.

Write two important characteristics of equipotential surfaces.

Draw the equipotential surfaces due to an electric dipole.

Why is there no work done in moving a charge from one point to another on an equipotential surface?

Define equipotential surface. 

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