Consider Maxwell's equations of electrodynamics where units have been chosen s.t. the speed of light c = 1. These equations, resulting from many years of experimental and theoretical investigation by Ampere, Faraday, Gauss, Maxwell and others, relate the interconnectivity of electricity and magnetism: middot E = rho middot B = 0 Times E= Times B= j + E and B are the electric and magnetic fields respectively, rho and j are the charge and current density respectively. Specialize to the case of a vacuum(empty space). In this situation there are no charge or current densities present. Maxwell's equations become: middot E = 0 middot B = 0 Times E = Times B = Derive the wave equation for E from Maxwell's equations in free space.
