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The absolute simplest transformer would be two pieces of wire laid next to each other. Changing current in one wire would induce a magnetic field that in turn induced a current in the other wire. This would not be efficient though. Coiling the wires concentrically would increase their interaction and efficiency, but for a functional, simple transformer, wrapping the wires around a soft ferromagnetic materiel with a high magnetic permeability and high field saturation makes for a much more efficient transformer.

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