Consider two points `1 and 2` in a region outside a charged sphere. Two points are not very far away from the sphere. If `E and V` respresent the electric fileld vector and the electric potential. Which of the following is not possible ?

Options

A. `|vecE_(1)| = |vecE_(2)|,V_(1) = V_(2)`
B. `vecE_(1) != vecE_(2),V_(1) != V_(2)`
C. `vecE_(1) != vecE_(2),V_(1) = V_(2)`
D. `|vecE_(1)| = |vecE_(2)|,V_(1) != V_(2)`

Answer

D

Explanation

outside the charged sphere, (for equal distances from centre) if electric fields at two points are same then both points must be equipotential points.