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The operation of tuned step-up transformers in self-excited oscillator circuits as high-voltage sources for kinescopes is analyzed. General information and data are given for optimum radio-frequency-transformer design and operating conditions with specified rectifier loads. Practical high-voltage supplies are illustrated ranging from 1 to 50 kilovolts with power-output values of one-quarter watt to 50 watts, respectively. The performance of these supplies in television equipment is discussed.