  Using to a minimum extent special relativity input, and relying on the
Lorentz-force expression for the force acting on a charged particle in motion
under the influence of electric (E) and magnetic (B) fields, the Maxwell curl
equations are shown to follow from the covariance of the two Maxwell divergence
equations ${\div\cdot E} = 4\pi\rho$ and ${\div\cdot B} = 0$.

Physics Education