Electrostatic potential energy of two charges via distance

Electrostatic potential energy due to two point charges depends on the inverse distance to the distance between the charges. Note that this is the energy of interaction belonging to the entire system.

Links:

1. Wikipedia.

electrostatic_potential_energy

Electrostatic potential energy of system.

Symbol:

U_E

Latex:

\(U_\mathbf{E}\)

Dimension:

energy

absolute_permittivity

absolute_permittivity of the medium.

Symbol:

epsilon

Latex:

\(\varepsilon\)

Dimension:

capacitance/length

distance

euclidean_distance between the point charges.

Symbol:

d

Latex:

\(d\)

Dimension:

length

first_charge

Value of the first charge.

Symbol:

q_1

Latex:

\(q_{1}\)

Dimension:

charge

second_charge

Value of the second charge.

Symbol:

q_2

Latex:

\(q_{2}\)

Dimension:

charge

law

U_E = q_1 * q_2 / (4 * pi * epsilon * d)

Latex:

\[U_\mathbf{E} = \frac{q_{1} q_{2}}{4 \pi \varepsilon d}\]