A rectangular coil of N turns and of length a and width b

Chapter , Problem 11

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A rectangular coil of N turns and of length a and width b is rotated at frequency f in a uniform magnetic field , as indicated in Fig. 30-40. The coil is connected to co-rotating cylinders, against which metal brushes slide to make contact. (a) Show that the emf induced in the coil is given (as a function of time t) by # ! 2pfNabB sin(2pft) ! #0 sin(2pft). This is the principle of the commercial alternating-current generator. (b) What value of Nab gives an emf with #0 ! 150 V when the loop is rotated at 60.0 rev/s in a uniform magnetic field of 0.500 T?

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