Maxwell’s Equations

Gauss (Electricity)

Gauss’s Law Electric charges produce an electric field. $\nabla \cdot \vec{D}=\rho$

Gauss (Magnetism)

There are no magnetic monopoles. $\nabla \cdot \vec{B}=0$

Gauss Law for Magnetism

Ampere

Ampere’s Law Magnetic field produced by electric current and changing electric flux. $\nabla \times \vec{H}=\vec{J}+\frac{\partial \vec{D}}{\partial t}$

Faraday

Faraday’s Law Electric field produced by changing magnetic flux. $\nabla \times \vec{E}=-\frac{\partial \vec{B}}{\partial t}$