Apeiron, Vol. 10, No. 2, April 2003 118
© 2003 C. Roy Keys Inc.
The Faraday Induction Law
and Field Transformations in
Special Relativity
Alexander L. Kholmetskii
Department of Physics, Belarus State University,
4, F. Skorina Avenue, 220080 Minsk Belarus
E-mail: kholm@bsu.by
The non-invariance of the Faraday induction law, revealed in
[1] through calculation of an e.m.f. along a mathematical line,
is further analyzed for integration over a conducting closed
circuit. The principal difference of a conductor from a
mathematical line is the appearance of internal
electromagnetic fields induced by rearranged conduction
electrons. In our analysis we distinguish two general cases: 1-
the internal electromagnetic fields from the conduction
electrons contribute an induced e.m.f.; 2 - the internal fields do
not give such a contribution. Case 2 makes a conducting
circuit similar to a mathematical line, where the Faraday law is
always correct, while the Einstein relativity principle is
violated. However, in such a case the violation of special
relativity occurs not for a hypothetical model problem, but in
physical reality.
Keywords: Faraday induction law, transformation of
electromagnetic field, successive Lorentz transformations