Electromagnetic Induction and Current
Most recent answer: 01/06/2016
Washington State, U.S.A.
The changing magnetic field does create an electromotive force, a push on any charged particles. That field is preent whether or not there happen to be any charged particles around for it to act on.
Now if there's a copper wire with two ends around, the conduction electrons will get pushed by that field. Under ordinary circumstances essentially no replacement charges flow in from the air. That will quickly leave the ends of the wire with net charge, just as you say. The field from that net charge counteracts the field from the moving magnet, so the current quickly stops flowing.
If, on the other hand, the wire is an endless loop, then the current can keep flowing around the loop until the push from the moving magnet stops.
(published on 01/06/2016)