The sound produced by transformers is closely linked to the transformer's functional principle. The magnetic flux inside the core is linked to magnetostriction which causes micro-changes to the core geomery. Magnetic forces onto the winding conductors due to the magnetic stray field are causing micro-changes to the winding geometry. The geometrical micro-changes of core and winding occur alternating with twice the power frequncy and are therefore vibrations which finally are received as transfomer sound.
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