CHAPTER IX SYNCHRONOUS INDUCTION MOTOR 97. The typical induction motor consists of one or a number of primary circuits acting upon an armature movable thereto, which contains a number of closed secondary circuits, displaced from each other in space so as to offer a resultant closed secondary circuit in any direction and at any position of the armature or secondary, with regards to the primary system. In consequence thereof the induction motor can be considered as a transformer, 'having to each primary circuit a corresponding secondary cir- cuit—a secondary coil, moving out of the field of the primary coil, being replaced by another secondary coil moving into the field. In such a motor the torque is zero at synchronism, positive below, and negative above, synchronism. If, however, the movable armature contains one closed cir- cuit only, it offers a closed secondary circuit only in the direc- tion of the axis of the armature coil, but no secondary circuit at right angles therewith. That is, with the rotation of the arma- ture the secondary circuit, corresponding to a primary circuit, varies from short-circuit at coincidence of the axis of the arma- ture coil with the axis of the primary coil, to open-circuit in quadrature therewith, with the periodicity of the armature speed. That is, the apparent admittance of the primary circuit varies periodically from open-circuit admittance to the short- circuited transformer admittance. At synchronism such a motor represents an electric circuit of an admittance varying with twice the-periodicity of the primary frequency, since twice per period the axis of the armature coil and that of the primary coil coincide. A varying admittance is obviously .dentical in effect with a varying reluctance, which will be discussed in the chapter on reaction machines. That is, the induction motor with one closed armature circuit is, at synchronism, nothing but a reaction machine, and consequently gives zero torque at synchronism if the maxima and minima of the periodically varying admittance coincide with the maximum