A short electric dipole is placed at the origin of the Co-ordinate system with its dipole moment P along y direction. Give answer to following questions for points which are at large distance r from the origini in x-y plane.
[r is large compared to length of the dipole]
(a). Find maximum value of x component of electric field at a piont that is at `r_(0)` distance from the origin
(b). Prove that (for `0 lt theta lt 90^(@)`) all the points, where electric field due to the di8pole is parallel to x-axis, fall on a straight line, find the slope of the line.

Answer

(a). `(3)/(2)(KP)/(r_(0)^(3))`
(b) `(1)/(sqrt(2))`