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The paper describes a method for the numerical study of the growth of current in circuits which comprise a non-linear inductor. The non-linear magnetization curve is supposed to be composed of a number of linear chords and an analytical expression for current is developed for each chord. Computation of current over any chord at equally spaced points along the time axis is carried out until the difference of the magnitude of this current and that at the end of the chord is the minimum. The method of solution has been explained taking the numerical illustration of the field circuit of a generator where the impressed potential difference is constant, the solution being obtained with the help of a digital computer. The graph showing the nature of the build-up of current is in perfect agreement with experimental data. The method has also been extended to circuits where the impressed voltage is alternating as in the case of an iron core transformer. [ABSTRACT FROM AUTHOR]