When we connect a bigger resistance to a transformer, the current decreases both in the primary and secondary. To be able to maintain the same current, we'd have to increase the voltage.
Now imagine you have an induction coil that is supplied by a constant voltage of variable frequency, and you are heating some metal trough induction. The material has permeability equal to that of air.
If we increase the frequency, the eddy currents in the metal increase. Now increase in currents by previous explanation should increase the primary current, which means that impedance of the system has decreased.
But that would mean that the resistance most probably decreases, which is not what literature say. They say that any increase in eddy currents is seen as an increase in resistance. What gives?
The answer that explains what the magnetic field of eddy currents do to the primary coil to change the emf would be great. (Yes I know that it interacts with it, but I want to know exactly how and why).