Category:Definitions/Electric Charge Density

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This category contains definitions related to Electric Charge Density.
Related results can be found in Category:Electric Charge Density.

Let $A$ be a point in space in which an electric field acts.

Let $\delta V$ be a volume element containing $A$.

The (electric) charge density $\map \rho {\mathbf r}$ at $A$ is defined as:

\(\ds \map \rho {\mathbf r}\) \(=\) \(\ds \lim_{\delta V \mathop \to 0} \dfrac Q {\delta V}\)
\(\ds \) \(=\) \(\ds \dfrac {\d Q} {\d V}\)


$Q$ denotes the electric charge within $\delta V$
$\mathbf r$ denotes the position vector of $A$.

Thus the electric charge density is the quantity of electric charge per unit volume, at any given point in that volume: