set of equations relating the four vector quantities determining the electromagnetic field in a material medium or in vacuum and the two quantities electric current density and volumic electric charge
NOTE 1 – The Maxwell equations expressed in differential form are:
where rot and div denote the rotation and the divergence respectively, E , D , H and B are the four vector quantities determining the electromagnetic field, J is the electric current density, ρ is the volumic electric charge and t is the time.
NOTE 2 – The Maxwell equations completely define the electromagnetic field in a given medium only together with the relations characterizing the medium, often called constitutive relations; in the case of a linear medium, these relations are expressed in terms of the permittivity, permeability, and conductivity of the medium.
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