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With today's high performance magnetic materials, the pulse transformer designer has advantages not previously obtainable for reducing size. These advantages are further implemented by improved methods of dissipating losses, which hitherto have prevented substantial size reductions. In order to employ these advantages to their fullest, toroidal cores with reset bias are used. For example, at 7.5 megawatts peak power, or 15 kilowatts average power, it is possible to reduce transformer weight from 105 pounds to 22 pounds. This is achieved by using the best known core material, the most efficient cooling and a reset core together. Proportionate size reduction is possible in smaller ratings, and is of particular importance in transportable radar: on land, sea or in space.