# Electric Field of an electric dipole on axial and equatorial points – formulas

In this page, you will get the **formulas **required to calculate the **electric field intensity due to an electric dipole on axial and equatorial points**. The vector forms of these formulas are also provided.

An axial point is also known as the end-on position. The equatorial point is on the perpendicular bisector of the dipole, and this point is also known as the broad-side-on position.

## Electric field due to an electric dipole on an axial point – Formula

Electric field due to an electric dipole on the axial point:

E_{axial} = (1/4πε_{0}) 2p/r^{3}

The direction of this electric field is along the direction of the dipole moment **p** (this means from the negative charge to the positive charge of the dipole)

## Electric field due to an electric dipole on an equatorial point – Formula

Electric field due to an electric dipole on the equatorial point:

E_{equatorial} = (1/4πε_{0}) p/r^{3}

The direction of this electric field is antiparallel to the dipole moment **p** or in other words, this field is along the opposite direction of the dipole moment **p**.

### explanation of the parameters in the dipole electric field formulas

In the above equations, p = q 2l = dipole moment.

Dipole moment **p** is a vector whose direction is from the negative charge of the dipole to the positive charge of that dipole.

q is the amount of charge on each end of the dipole (one end with +q and the other end has -q).

2l is the distance between the positive and the negative charge of the electric dipole.

r is the distance between the point where the electric field is being calculated and the midpoint of the dipole.

## Vector forms of the electric field due to an electric dipole (vector equations)

**E**_{axial} = (1/4πε_{0}) 2**p**/r^{3}

**E**_{equatorial} = (1/4πε_{0}) **p**/r^{3}