A and B are two points on the axis and the perpendicular bisector, reapectively, 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. `vecE_(A) = vecE_(B)`
B. `vecE_(A) = 2vecE_(B)`
C. `vecE_(A)= -2vecE_(B)`
D. `|vecE_(B)=(1)/(2)|vecE_(A)|`, and `vecE_(A)` is perpendicular to `vecE_(B)`.

Answer

C

Explanation

Electric field due to dipole at axial position is
`E_("axial")=(1)/(4 pi epsilon_(0))(2p)/(r^(3))`(along the dipole moment)
Hence, `vecE_(A) = -2vecE_(B)`.