Electric Flux

Definition: Electric Flux

The electric flux is a measure of the total electric field $\mathbf{E}$ which passes through a surface $\mathcal{S}$ and is defined as the surface integral of $\mathbf{E}$ over $\mathcal{S}$:

$${\int }_{\mathcal{S}}\mathbf{E}\cdot \mathrm{d}\mathbf{a}$$

NOTATION

$${\Phi }_{\mathbf{E}}$$