90 ELECTRICAL APPARATUS or in shunt thereto, and thus gives series-motor characteristics, or shunt-motor characteristics. In either case, two independent variables exist, the value of the voltage impressed upon the commutator, and its phase, and the phase of the voltage supplied to the secondary circuit may be varied, either by varying the phase of the impressed voltage by a suitable transformer, or by shifting the brushes on the commutator and thereby the relative position of the brushes with regards to the stator, which has the same effect. However, with such a commutator motor, while the resultant magnetic effect of the secondary currents is of the low frequency FIG. 34.—Commutated full-frequency current in induction motor secondary. of slip, the actual current in each secondary coil is of full fre- quency, as a section or piece of a full-frequency wave, and thus it meets in the secondary the full-frequency reactance. That is, the secondary reactance at slip, s, is not: Z8 = TI + jsxi, but is: Z8 = Ti + jxij in other words is very much larger than in the motor with short-circuited secondary. Therefore, such motors with commutator always require power-factor compensation, by shifting the brushes or choosing the impressed voltage so as to be anti-inductive. Of the voltage supplied to the secondary through commutator and brushes, a component in phase with the induced voltage lowers the speed, a component in opposition raises the speed, and by varying the commutator supply voltage, speed control of such an induction motor can be produced in the same manner of the same character, as produced in a direct-current motor