Electric field intensity due to a dipole (axial position)

Electric Field Intensity due to a Dipole at its Axial Position (or End-On Position):

Axial line of an electric dipole is a line joining the centres of two charges of the dipole & extended to both sides.

Consider an electric dipole having charges -q & +q separated by a distance of 2l. Point P is an observation point situated at a distance of 'r' from the centre 'o' of the dipole, where the electric field is to be determined.

Let,

E1=Electric field intensity at P due to +q charge.

E2=Electric field intensity at P due to -q charge.

Net electric field intensity at 'P' due to electric dipole is given by,

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