Gauss' Law:
∇ ⋅ E = 0 {\displaystyle {\boldsymbol {\nabla \cdot E}}=0}
Gauss' Law for Magnetism:
∇ ⋅ B = 0 {\displaystyle {\boldsymbol {\nabla \cdot B}}=0}
Faradays's Law:
∇ × E + ∂ B ∂ t = 0 {\displaystyle {\boldsymbol {\nabla \times E}}+{\frac {\partial {\boldsymbol {B}}}{\partial t}}=0}