MathLiveGauss's law for electric fields
The net electric flux through any closed surface equals the total charge enclosed by that surface divided by the vacuum permittivity. It is used to find electric fields in situations with high symmetry, such as spheres, infinite lines and infinite planes.
\oint_{S} \mathbf{E}\cdot d\mathbf{A}=\frac{Q_{\mathrm{enc}}}{\varepsilon_0}What the symbols mean
| electric field vector (V/m) | |
| infinitesimal outward-pointing area vector of the closed surface S (m^2) | |
| total electric charge enclosed by the surface (C) | |
| vacuum permittivity, about 8.854 \times 10^{-12} F/m |
About this formula
- FieldPhysics
- TopicElectromagnetism
- LevelUniversity
- Also calledGauss law electric flux, electric flux through closed surface, Gauss theorem electrostatics, divergence of E equals charge density over epsilon zero, Gauss law integral form, electric flux enclosed charge
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