Maxwell's Equations

In Free Space

Gauss' Law:

${\boldsymbol {\nabla \cdot E}}=0$

Gauss' Law for Magnetism:

${\boldsymbol {\nabla \cdot B}}=0$

Faradays's Law:

${\boldsymbol {\nabla \times E}}+{\frac {\partial {\boldsymbol {B}}}{\partial t}}=0$