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If Maxwell had worked between Ampere and Faraday: An historical fable with a pedagogical moral, Max Jammer and John Stachel, Am. J. Phys. 48(1), Jan. 1980

If one drops the Faraday induction term from Maxwell's equations, they become exactly Galilei invariant. This suggests that if Maxwell had worked between Ampére and Faraday, he cold have developed this Galilei-invariant electromagnetic theory so that Faraday's discovery would have confronted physicists with the dilemma: give up Galilean relativity relativity principle for electromagnetism (ether hypothesis), or modify it (special relativity). This suggests a new pedagogical approach to electromagnetic theory, in which the displacement current and the Galilean relativity principle are introduced before the introduction term is discussed.

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