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CORRECTED (sorry, I forgot we are in the 21st century).
I know that Ampere speculated that all magnetic fields are due
to currents. But the prevailing explanation of magnetic fields,
at that time, was in terms of so-called magnetic charges. (In
that model B was defined as F acting on the N pole, per unit
pole.) Many textbooks published in the 20th century still
presented magnetostatic in the same way in which they
presented electrostatics. The only difference was the recognition
that a magnetic dipole could not be cut into two monopoles.
Did Gauss believe in the reality of N (plus) and S (minus)
magnetic charges? When did the new definition of B (via
F=q*v x B) start to appear in textbooks?
Ludwik Kowalski