Introducing Time Dependence into the Static Maxwell Equations

Abstract

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 ${\div\cdot B} = 0$.