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