Home » Electricity-magnetism » Gauss-law
pin
 
Science Calculators

X

Web 2.0 scientific calculator
Close

Gauss's Law

$\nabla \cdot \mathbf {E} ={\frac {\rho }{\varepsilon _{0}}}$

Integral form: $\Phi_E = \frac{Q}{\varepsilon_0} = \unicode{x222F}\, \mathbf{E} \cdot \mathrm{d}\mathbf{A}$: The total of the electric flux out of a closed surface is equal to the charge enclosed divided by the electric constant.

Differential form: $\nabla \cdot \mathbf {E} ={\frac {\rho }{\varepsilon _{0}}}$: The divergence of the electric field is equal to the charge density divided by the electric constant.

$\varepsilon _{0}$ = 8.854187817 x 10-12 F ˙ m-1 a.k.a electric constant or vacuum permittivity, permittivity of free space. It relates electric flux in volt-meters to charge.

Disclaimer:

While we have done our best to assure accurate results, the authors of this website do not make any representation or warranty, express or implied, regarding the calculators on this website, nor assume any liability for its use. The code implementation is the intellectual property of the developers.

Please let the webmaster know if you find any errors or discrepancies.
We also take suggestions for new calculators to include on the site.