Density of load

See also: Density (homonymy)

The density of load electric corresponds to the report/ratio of the load on volume. It can be expressed in Coulomb per cubic meter (C/m 3 ).

Density of load and electric field

$\backslash \; nabla\; \backslash \; cdot\; \backslash \; mathbf\; \{D\}\; =\; \backslash \; rho$

where $\{\backslash \; rho\}$ is the density of charge electric (in C/m³), and $\backslash \; mathbf\; \{D\}$ the electric displacement which is related to the electric field by

$\backslash \; mathbf\; \{D\}\; =\; \backslash \; epsilon\_0\; \backslash \; mathbf\; \{E\}$

The equivalent integral is:

$\backslash \; int\_A\; \backslash \; mathbf\; \{E\}\; \backslash \; cdot\; D\; \backslash \; mathbf\; \{has\}\; =\; \backslash \; frac\; \{Q\_\; \backslash \; mathrm\; \{int\; \backslash \; acute\; erior\}\}\; \{\backslash \; epsilon\_0\}$

where has is a closed surface. This equation corresponds to the Theorem of Gauss which is a generalization of the Loi of Coulomb.

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