Why do induction cooktops require ferrous metals if eddy currents form in all metals?

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likephysics
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Need to refresh my understanding on eddy current.
Does every metal exhibit eddy current when it comes across a Mag field?
If this is the case, then why do induction cook tops required ferrous utensils.
A Metal detector also works on the principle of eddy current. correct?
 
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There is quite a lot online about eddy currents, have you tried looking it up?
1. yes - provided the B-field changes
2. the heat depends on resistivity as well as current
3. yes - amongst others