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basically a matter of the magnetizing inductive reactance which is inversely proportional to frequency. You want to keep the magnetizing current low to minimize power loss and avoid saturating the core. The higher the frequency, the lower the required inductance for a given inductive reactance and magnetizing current, thus the smaller the required core and/or number of turns on the windings.



Magnetizing current is a normal parasitic byproduct of the transformer inductance and the applied voltage level and frequency. The amount of power that can be transferred through a transformer is usually limited by the transformer winding resistances and is unrelated to the magnetizing current. Thus core size goes up at higher power levels due to larger required wire size, not due to any core limitations.

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