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For a good account of the charge separation explanation of
magnetic force
on
a current-carrying wire, see the relatively recent book "Electric and
Magnetic Interactions" by Chabay and Sherwood. As a magnetic
field cannot
do any work on a moving charge, the explanation for the work done by
magnetic force (e.g. electric motors) is through the work done by the
induced electric field due to charge separation on the lattice ions.