Find the magnitude of the electric field at points along the axis of a dipole (along the same line that contains +q and −q) for r≫ℓ, where r is the distance from a point to the center of the dipole and ℓ is the distance between +q and −q.

E=

Explanation:

We are given that a dipole consist of two charge Q and -Q and charge separated by l.Let a charge +1 C is placed at  point P at distance r from the centre of dipole.

We have to find the magnitude of the electric field at point along the axis of dipole .

We know that Electric field=

Electric filed due to positive charge Q

{from A to P}

Electric field due to negative charge -Q

( Along PB)

Net electric field E=

E=

E=

E=

We are given that r >> L then

E=

E=

E=

Where, P=Diple = Distance between two charges any charge