The electric field due to a short dipole at a distance r, on the axial line, from its mid point is the same as electric field at a distance `r^(')` on the equatorial line, from its mid point.Determine the ratio `r//r'`.

Explanation

`(1)/(4pi epsilon_(0))(2p)/(r^(3)) = (1)/(4pi epsilon_(0)) (p)/(r^(3))`
or `(2)/(r^(3)) = (1)/(r^('3))` or `(r^(3))/(r^('3)) = 3` or `(r )/(r') = 2^(1//3)`