Galilean non-invariance of classical electromagnetism

Had Galilean transformation holds for not only mechanics but also electromagnetism, Newtonian relativity would hold for the whole of the physics. However, we know from Maxwell's equation that , which is the velocity of the propagation of electromagnetic waves in vacuum. Hence, it is important to check if Maxwell's equation is invariant under Galilean relativity.For this, we have to find the difference (if any), in the observed force of charge when it is moving at a certain velocity and observed by two reference frames and in such a way that the velocity of is more than (which is at absolute rest).

Galilean non-invariance of classical electromagnetism

Had Galilean transformation holds for not only mechanics but also electromagnetism, Newtonian relativity would hold for the whole of the physics. However, we know from Maxwell's equation that , which is the velocity of the propagation of electromagnetic waves in vacuum. Hence, it is important to check if Maxwell's equation is invariant under Galilean relativity.For this, we have to find the difference (if any), in the observed force of charge when it is moving at a certain velocity and observed by two reference frames and in such a way that the velocity of is more than (which is at absolute rest).