Equipotential surfaces

Options

A. are closer in regions of large electric fields compared to regions of lower electric fields
B. will be more crowded near sharp edges of a conductor
C. will be more crowded near regions of large charge densities
D. will always be equally spaced

Answer

A, B, C

Explanation

From `E = - (dV)/(dr)`, we find that `dr prop (1)/(E)`, i.e., equipotential surfaces are closer in regions of large electric fields compared to regions of lower electric fields. At sharp edges of a condutor, charge density is more. Therefore, electric field is stronger. Hence equipotentials surfaces are more crowded. Same argument is true for option (c). The choices (a), (b), (d) are correct.