Abstract—There have been made several efforts to link
Ampère´s 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 Ampère’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 Ampère’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
Ampère’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, ampère’s law,
faraday’s law of induction, grassmann’s force law, coulomb’s
law.
Neumann’s induction law, ampère’s law,
faraday’s law of induction, grassmann’s force law, coulomb’s
law.
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Cite: Jan Olof Jonson, "The Claim that Neumann’s Induction Law Is Consistent
with Ampère’s Law Rejected," International Journal of Modeling and Optimization vol. 4, no. 4, pp. 326-331, 2014.
