Maxwell's Equations:
\nabla \cdot D= \rho
\nabla \cdot B=0
\nabla \times E=- \partial B/ \partial t
\nabla \times H=J+ \partial D/ \partial t
Together with the continuity eq:
\nabla \cdot J=- \partial \rho / \partial t
There are 9 scalar equations and 16 scalar unknowns (B, E, D, H, J...