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In the limit of very large conductivity it is convenient to relate the current density J
in the force equation to the magnetic induction B via Ampere's law and to use the
infinite conductivity expression (10.9) to eliminate E from Faraday's law to yield ...
Consequently to complete our discussion we must consider the covariant
formulation of the Lorentz force equation and the conservation laws of
momentum and energy. The Lorentz force equation can be written as a force per
unit volume ...
From equations (12.2) and and (11.129) we see that we can write the force
equation in the form: (12.62) at c J where the volume integral is over the extent of
the charge. If the particle's velocity is v and its total charge e, then ^ = f*>v (12.63)
dt c ...
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Introduction to Electrostatics
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