20 ELECTRICAL APPARATUS As seen, a very large amount of capacity is required for speed control. This limits its economic usefulness, and makes the use of a cheaper form of effective or equivalent capacity desirable. C. Multispeed Motors 14. The change of speed by changing the number of poles, in the multispeed induction motor, involves the use of fractional- pitch windings: a primary turn, which is of full pole pitch for a given number of motor poles, is fractional pitch for a smaller number of poles, and more than full pitch for a larger number of poles. The same then applies to the rotor or secondary, if containing a definite winding. The usual and most frequently employed squirrel-cage secondary obviously has no definite number of poles, and thus is equally adapted to any number of poles. As an illustration may be considered a three-speed motor changing between four, six and eight poles. Assuming that the primary winding is full-pitch for the six- polar motor, that is, each primary turn covers one-sixth of the motor circumference. Then, for the four-polar motor, the primary winding is % pitch, for the eight-polar motor it is % pitch—which latter is effectively the same as % pitch. Suppose now the primary winding is arranged and connected as a six-polar three-phase winding. Comparing it with the same primary turns, arranged as a four-polar three-phase wind- ing, or eight-polar three-phase winding, the turns of each phase can be grouped in six sections: Those which remain in the same phase when changing to a winding for different number of poles. Those which remain in the same phase, but are reversed when changing the number of poles. Those which have to be transferred to the second phase. Those which have to be transferred to the second phase in the reverse direction. Those which have to be transferred to the third phase. Those which have to be transferred to the third phase in the reverse direction. The problem of multispeed motor design then is, so to arrange the windings, that the change of connection of the six coil groups of each phase, in changing from one number of poles to another, is accomplished with the least number of switches.