112 ELECTRICAL APPARATUS between the motor coils, and thus starting torque can be pro- duced, especially with a high-resistance armature, that is, a motor with starting rheostat. A full discussion and calculation of this device is contained in the paper on the "Single-phase Induction Motor/7 page 63, A. I E. E. Transactions, 1898. FIG. 39.—External' inductive , device. FIG. 40.—Diagram of shading coil. Internal Inductive Devices The exciting system of the motor consists of a stationary pri- mary coil and a stationary secondary coil, short-circuited upon itself (or closed through an impedance), both acting upon the revolving secondary. The stationary secondary can either cover a part of the pole face excited by the primary coil, and is then called a "shading coil/7 or it has the same pitch as the primary, but is angularly displaced therefrom in space, by less than 90° (usually 45° or 60°), and then, has been called accelerating coil. The shading coil, as shown diagrammatically in Fig. 40, is the simplest of all the single-phase induction motor-starting devices, and therefore very extensively used, though it gives only a small starting torque, and that at a low apparent starting- torque efficiency. It is almost exclusively used in very small motors which require little starting torque, such as fan motors, and thus industrially constitutes the most important single- phase induction motor-starting device. 73. Let, all the quantities being reduced to the primary num- ber of turns and frequency, as customary in induction machines: Z0 = r0 + jx0 = primary self-inductive impedance, y = 9 — jb = primary exciting admittance of unshaded poles (assuming total pole unshaded),