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I have been asked (by engineers at Penn State) to submit this topic
to the List for comments:
http://www.df.lth.se/~snorkelf/LongitudinalMSc.pdf
It concerns a controversy regarding Ampere's original formulation of
the basic magnetic force law between current elements. Apparently he
was persuaded to this version because it obeys N3 even in the strong
form (equal and opposite "central" forces). This is contrary to the
traditional force law, which comes from the Biot Savart relation and
the Lorentz QVxB force.
Examples of experimental evidence for the Ampere longitudinal force
component are cited. Should these results be attributed to an
other-than-magnetic component of the force between current elements?
Could the original Ampere magnetic force law possibly be reconciled
with Maxwell's equations and the Lorentz force?
Your comments and analyses, please.