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. 30-40. 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 8 = 2mf NabB sin(2mft) = E, sin(27ft). This is the principle of the commercial alternating-current gen- erator. (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 magnetic field of 0.500 T? Sliding contacts - BX x x x x x x x x X X x x X X x X D. X/X

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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. 30-40. 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
8 = 2mf NabB sin(2mft) = E, sin(27ft).
This is the principle of the commercial alternating-current gen-
erator. (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 magnetic field
of 0.500 T?
Sliding contacts -
BX x x x x x x x x X
X x x X X x X
D.
X/X
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. 30-40. 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 8 = 2mf NabB sin(2mft) = E, sin(27ft). This is the principle of the commercial alternating-current gen- erator. (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 magnetic field of 0.500 T? Sliding contacts - BX x x x x x x x x X X x x X X x X D. X/X
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