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In the latest issue of The Physics Teacher, Brahmia and Horton raise the
question of whether the "induction cooktop" really utilizes the induction
of current to warm up the pan. They note that a ferromagnetic pan is
needed and this implies an hysteresis effect.
Later, someone in the same thread pointed out that if it was due to the
induction of eddy currents, any metallic pan would do and thus the heating
must be due to magnetic domains "flip-flopping".