Who formulated the laws of electromagnetism?
Galilean electromagnetism such as when Faraday's law of induction was insignificant. The magnetic limit applies when the magnetic field effects are dominant. Jackson introduces a Galilean transformation for the Faraday's equation and gives an example of a quasi-electrostatic case that also fulfills a Galilean transformation. Jackson states that the wave equation is not invariant under Galilean transformations. In 2013, Rousseaux published a review and summary of Galilean electromagnetism. Galilean electromagnetism Galilean electromagnetism is a formal electromagnetic field theory that is consistent with Galilean invariance. Galilean electromagnetism is useful for describing the electric and magnetic fields in the vicinity of charged bodies moving
Covariant formulation of classical electromagnetism for formula_64 can be derived. The equivalent expression in non-relativistic vector notation is Covariant formulation of classical electromagnetism The covariant formulation of classical electromagnetism refers to ways of writing the laws of classical electromagnetism (in particular, Maxwell's equations and the Lorentz force) in a form that is manifestly invariant under Lorentz transformations, in the formalism of special relativity using rectilinear inertial coordinate systems. These expressions both make it simple to prove that the laws of classical electromagnetism take the same form in any inertial coordinate system, and also provide a way to translate the fields and forces from one frame