Energy density via permittivity and electric field

Volumetric energy density of the electric field depends on the permittivity of the medium and on the strength of the electric field at that point.

Links:

  1. Wikipedia.

energy_density

Volumetric energy_density of the electric field, see Quantity is volumetric density times volume.

Symbol:

w

Latex:

\(w\)

Dimension:

energy/volume

absolute_permittivity

absolute_permittivity of the medium.

Symbol:

epsilon

Latex:

\(\varepsilon\)

Dimension:

capacitance/length

electric_field_strength

electric_field_strength.

Symbol:

E

Latex:

\(E\)

Dimension:

voltage/length

law

w = epsilon * E^2 / 2

Latex:
\[w = \frac{\varepsilon E^{2}}{2}\]