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3-11 In the primitive machine shown in Fig. P3-11, the air-gap flux density B, has a sinusoidal distribution given by B,= B cos 0. The rotor length is l. (a) Given that the rotor is rotated at a speed of @m, plot as a function of the emf e₁1 induced and the torque Tem acting on the coil if ia = I. (b) In the position shown, the current in in the coil equals I. Calculate Pel, the elec- trical power input to the machine, and Pmech, the mechanical power output of the machine, if om = 60 rad/s. 90 BASIC CONCEPTS IN MAGNETICS ia e11' + @m Fig. P3-11 Problem 3-11. Stator magnetic axis

Fig: 1