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Equations to predict the performance of single-phase induction motor with windings not in quadrature are developed based on a concept of representing a winding by two mutually perpendicular windings, using the cross-field theory. Since the capacitor motor is more general than any other motor in the family of single-phase and even two-phase induction motors, emphasis is thereby placed upon its calculations. The adaptability of equations thus developed to other types of notors is also indicated. A systematic procedure to analyze an induction motor is also given by making use of the present equations. In order to show the influence of winding displacement, the results on a permanent -split capacitor motor are also tabulated.