A and B are two points on the axis and the perpendicular bisector, respectively, of and electric dipole. A and B are far away from the dipole and at equal distance from it. The fields at A and B are `vecE_(A)` and `vecE_(B)`. Then

Options

A. `vec(E_(A)) = vec(E_(B))`
B. `vec(E_(A)) = 2vec(E_(B))`
C. `vec(E_(A)) = - 2vec(E_(B))`
D. `|vec(E_(B))| = (1)/(2)|vec(E_(A))|` and `vec(E_(A))` is perpendicular to `vec(E_(A))`

Answer

C

Explanation

`overline E_A=(2 overlinep)/(4 pi e_0 r^3)`
`overline E_B=overline-P/(4 pi e_0 r^3)`