A high frequency inductor filter cooling apparatus and method of use thereof is described. In one embodiment, an inductor is potted in an epoxy-silica mixture to facilitate thermal transfer from the inductor. The inductor is optionally used to filter/invert/convert power. The inductor comprises a distributed gap core and/or a powdered core material. In one example, the minimum carrier frequency is above that usable by an iron-steel inductor, such as greater than ten kiloHertz at fifty or more amperes. Optionally, the inductor is used in an inverter/converter apparatus, where output power has a carrier frequency, modulated by a fundamental frequency, and a set of harmonic frequencies, in conjunction with a notched low-pass filter, a low pass filter combined with a notch filter and a high frequency roll off filter, and/or one or more of a silicon carbide, gallium arsenide, and/or gallium nitride based transistor.