Electric field due to point charge

The strength of the electric field set up by a point charge is linearly proportional to the value of the charge and the square inverse of the distance to it.

Notation:

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

Links:

  1. Wikipedia.

electric_field_strength

electric_field_strength due to point charge \(q\).

Symbol:

E

Latex:

\(E\)

Dimension:

voltage/length

charge

Value of the point charge.

Symbol:

q

Latex:

\(q\)

Dimension:

charge

distance

euclidean_distance to the charge.

Symbol:

d

Latex:

\(d\)

Dimension:

length

law

E = q / d^2 / (4 * pi * epsilon_0)

Latex:
\[E = \frac{1}{4 \pi \varepsilon_0} \frac{q}{d^{2}}\]