First slide

Electrostatic potential

Question

Equipotentials at a great distance from a collection of charges whose total sum is not zero are approximately

Moderate

A

spheres
B

planes
C

paraboloids
D

ellipsoids

Solution

In this problem, the collection of charges, whose total sum is not zero, with regard to great distance can be considered as a point charge. The equipotentials due to point charge are spherical in shape as electric potential due to point charge q is given by $V = k_{e} \frac{q}{r}$ .
This suggest that electric potentials due to point charge is same for all equidistant points. The locus of these equidistant points, which are at same potential, form spherical surface.

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