A rectangular coil of N turns and of length a and width b is rotated at frequency

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A rectangular coil of N turns and of length a and width b is rotated at frequency ƒ in a uniform magnetic field B, as indicated in Figure. 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

ξ = 2πƒNαbB sin(2πƒt) = ξ₀ sin(2πƒt).

This is the principle of the commercial alternating-current generator.

(b) What value of Nab gives an emf with ξ₀ = 150 V when the loop is rotated at 60.0 rev/s in a uniform magnetic field of 0.500 T?

A rectangular coil of N turns and of length a and

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Fundamentals of Physics

ISBN: 978-0470469118

9th Edition

Authors: Jearl Walker, Halliday Resnick

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Question Posted: Jan 11, 2012 05:26 AM

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A rectangular coil of N turns and of length a and width b is rotated at frequency

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Sliding contacts fl

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a It should be emphasized that the result given in terms of sin2 ft could as easily be given in term...View the full answer

Fundamentals of Physics

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