A New Look to the Maxwell’s Equations and Wave Equations in Conducting Media

This paper presents a new system of Maxwell’s equations and wave equations in conducting media containing electromagnetic field sources, where the sources of the static component of the electric field are electric current sources, rather than electric charges. Maxwell’s third differential equation is derived from Maxwell’s first differential equation, resulting in a new form of Maxwell’s third differential equation specific to conducting media. This new equation differs from Maxwell’s third differential equation in perfect dielectrics (Gauss’s law). Gauss’s law is valid in a conducting medium only if it is a linear and isotropic source-free conducting medium. The volume density of the source (impressed) electric current in conducting media is introduced as a novel physical quantity, analogous to the volume density of the electric charge in perfect dielectrics.