b is rotated at frequency f in a uniform magnetic field B, as indicated in Fig. 30-42. 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 8 = 27fNabB sin(27fi) = E, sin(2#ft). %3D This is the principle of the commercial alternating-current generator. (b) What value of Nab gives an emf with Eo 150 V when the loop is rotated at 60.0 rev/s in a uniform mag- netic field of 0.500 T? Sliding contacts B R ww

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•11 A rectangular coil of N turns and of length a and width
b is rotated at frequency f in a uniform magnetic field B, as
indicated in Fig. 30-42. 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
8 = 2mfNabB sin(2mft) = Eg sin(2ft).
This is the principle of the commercial alternating-current
generator. (b) What value of Nab gives an emf with E
150 V when the loop is rotated at 60.0 rev/s in a uniform mag-
%3D
!3D
netic field of 0.500 T?
Sliding contacts
XX X X x X
a
Fig. 30-42 Problem 11.
Transcribed Image Text:•11 A rectangular coil of N turns and of length a and width b is rotated at frequency f in a uniform magnetic field B, as indicated in Fig. 30-42. 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 8 = 2mfNabB sin(2mft) = Eg sin(2ft). This is the principle of the commercial alternating-current generator. (b) What value of Nab gives an emf with E 150 V when the loop is rotated at 60.0 rev/s in a uniform mag- %3D !3D netic field of 0.500 T? Sliding contacts XX X X x X a Fig. 30-42 Problem 11.
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