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 equatorail line, from its mid point. Determine the ratio `r//r'` oon the equatorial line, from its mid point. Determine the ratio `r//r'`.

Explanation

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