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I wonder what the heating mechanism might be? A high-permeability
material with no hysterisis wouldn't have hysterisis losses. If the iron
is acting like a transformer core, then using a magnet and a piece of
copper wouldn't work, since a totally-saturated saturated magnet only
provides a static field, but does not act like a ferromagnet for AC
fields. (Maybe ceramic magnets tend not to be very saturated.)