A mathematical analysis of a parallel‐connected magnetic amplifier with an inductive load is presented. The analysis is based on the representation of the normal magnetization curve of the core material by a polynomial of the fifth degree. The load current is expressed in terms of the magnetic intensity of one of the cores. The magnetic intensity is shown to satisfy a nonlinear differential equation and an approximate solution of this equation is obtained by an iterative procedure. An estimate of the response time of the amplifier is determined and the steady‐state response of the amplifier is obtained.

James G. Miles, “Bibliography of magnetic amplifier devices and the saturable reactor art.” Am. Inst. Elec. Engrs. Technical Paper 51–388, September, 1951. (This extensive bibliography covers the literature of magnetic amplifiers to the middle of 1951.)
Thomas G. Wilson, “Series‐connected magnetic amplifier with inductive loading.” Am. Inst. Elec. Engrs. Technical Paper 52–94, December, 1951. (Analysis based on straight line approximations of the magnetization curve.)
Louis A. Pipes, “Operational methods in nonlinear mechanics.” Report 51–10, Department of Engineering, University of California, Los Angeles, December, 1951.
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J. Appl. Phys.
Louis A. Pipes, Applied Mathematics for Engineers and Physicists (McGraw‐Hill Book Company, Inc., New York, 1946).
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