\begin{align} \nabla \times \vec{\mathbf{B}}-\, \fraclc\, \frac{ \partial\vec\{\mathbf{E}}{\partial t} &= \frac{4 \pi}{c}\vec{\mathbf{i}} \\ \nabla \cdot \vec{\mathbf{E}} &= 4 \pi \rho \\ \nabla \times \vec{\mathbf{E}} \, + \, \fraclc \, \frac{\partial\vec{\mathbf{B}}}{\partial t} &= \vec{\mathbf{0}} \\ \nabla \cdot \vec{\mathbf{B}} &=0 \end{align}