On the axis and on the equator of an electric dipole for all points .......... .

Options

A. (A) On both of them V`ne` 0
B. (B) On both of them V = 0
C. (C) On the axis V = 0 and on equator V `ne` 0
D. (D) On the axis V `ne` 0 and on equator V = 0

Answer

A, D

Explanation

Potential on axis (at point A)
`V_(A)= (kq)/((2a+x))` and `V_(A)=- (kq)/(x)`
Resultant potential
`V=V_(A)+V_(A)=(kq)/((2a+x))-(kq)/(x) ne 0`
Potential at equator (at point B)
`V_(B)= (kq)/(r) ` and `V_(B)=- (kq)/(r)` where r` =sqrt(a^(2)+y)`
`:.` Resultant electric potential
`V= V_(B) +V_(B)`
`(kq)/(r)-(kq)/(r) =0`