The Claim that Neumann’s Induction Law Is Consistent with Ampère’s Law Rejected

Abstract

There have been made several efforts to link Amperes law to different parts of electromagnetic field theory In this paper Neumann's effort to make his induction law to appear to be consistent with Ampere's law will be studied thoroughly., Since there exists a concept, named Ampere-Neumann electrodynamics, it has been regarded as necessary to analyze how Neumann derives the connection between induction and Ampere's force law. One conspicuous thing is that he by the electromotive force of the secondary loop is meaning a physical, mechanical force, contrary to what has usually has been understood as an induced voltage. This makes it possible for him to claim his ideas to be consistent with Ampere's law. On the contrary, recent papers have convincingly shown that the Continuity Equation of Electricity is able to explain, how a current is being induced in a secondary circuit, due to an alternate current in the primary circuit. Earlier discoveries that Coulomb's law is able to account for electromagnetic forces, without involving magnetic fields, provides the conceptual background, which makes the use of magnetic fields unnecessary also in connection with induction. Index Terms—Neumann's induction law, ampere's law, faraday's law of induction, grassmann's force law, coulomb's law.