Electric field due to dipole

The strength of the electric field set up by a dipole at a distant point on the dipole axis, which runs through both point charges comprising the dipole, is proportional to the inverse cube of the distance to the dipole and the value of the electric dipole moment.

Notation:

1. \(\varepsilon_0\) (epsilon_0) is vacuum_permittivity.

Conditions:

1. \(r / d \gg 1\) where \(d\) is the distance between point charges of the dipole. This means that the point where electric field is measured must be far enough from the dipole itself.

Links:

1. Wikipedia.

electric_field_strength

electric_field_strength due to dipole.

Symbol:

E

Latex:

\(E\)

Dimension:

voltage/length

electric_dipole_moment

See Electric dipole moment is charge times distance and electric_dipole_moment.

Symbol:

p

Latex:

\(p\)

Dimension:

charge*length

distance

euclidean_distance to dipole.

Symbol:

d

Latex:

\(d\)

Dimension:

length

law

E = p / d^3 / (2 * pi * epsilon_0)

Latex:

\[E = \frac{1}{2 \pi \varepsilon_0} \frac{p}{d^{3}}\]