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A general system of equations is developed for the analysis of interlinked electric and magnetic networks. These equations are applied to the study of the steady-state behavior of six basic types of magnetic amplifier without feedback. The equations, which are non-linear, are solved to give the currents as functions of time for certain given applied voltages and given circuit and core parameters. An experimental check is included to confirm the correctness of the analysis. A comparison of the results for the six basic types shows that the use of two separate magnetic cores has important advantages over the single three-legged core so commonly used in present practice.