Use the following geometrical construction to derive the expression of the electric field of adipole. (a) (5 MARKS) along the axis of the dipole (at point 1) (b) (10 MARKS)

along the perpendicular bisector of the dipole (at point 2) where, q. and q. are the two point-charges with opposite signs and magnitude q Coulomb,separated by distance d meters, r denotes the distance of test points (1 or 2) from centre of the dipole, 0 is the angle of inclination against the dipole axis. E. or E_ represents the electricfield exerted by either positive or negative charges on test points (1 or 2) and E is the total electric field at test points (1 or 2). P is the dipole moment.