### The electric field at an axial point of an electric dipole:

As shown in figure an electric dipole consisting of charge +q and -q , separated by distance 2a and placed in a vacuum . Let P be a point on the axial line at distance r from the center O of the dipole on the side of the charge +q.

The electric field at an axial point of a dipole |

By this picture, you can see the resultant electric field at an axial point of a dipole this value is 3.51 V/m but if you start increasing distance mean point p on the axial point of dipole than field start decreasing.

The electric field at an axial point of a dipole at a distance |

so here you can see that if I increase the distance P on the axial point of a dipole than the electric field start decreasing and its value will be 1.72 V/m. so what I found? , with increasing the distance the electric field will start decreasing.

The electric field at an axial point of a dipole at a far distance |

###
**Calculation of the net electric field at an axial point of a dipole:**

1. Electric field due to charge -q at point P is

..................(towards left)

2. Electric field due to charge +q at point P is

.........................(towards the right)

Hence the resultant electric field at point P is

or

Here P= q x 2a = dip[ole moment .

for r>>a , a2 can be neglected compared to r2

.......................(towards right according to vector addition)

**Note-**Where is the unit vector along the dipole axis from -q to +qHence the resultant electric field at point P is

or

Here P= q x 2a = dip[ole moment .

for r>>a , a2 can be neglected compared to r2

.......................(towards right according to vector addition)

**Note-**The electric field at any point of the dipole acts along the dipole axis from negative to the positive charge i.e in the direction of dipole moment .