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What is the induced emf in the coil as a function of time for this angular speed

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter32: Faraday’s Law Of Induction

Section: Chapter Questions

Problem 45PQ

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Question

The magnetic flux through each turn of a 210-turn coil is given by Φ_B = 9.50 ✕ 10⁻³ sin(?t), where ? is the angular speed of the coil and Φ_B is in webers. At one instant, the coil is observed to be rotating at a rate of 9.40 ✕ 10² rev/min. (Assume that t is in seconds.)

(a) What is the induced emf in the coil as a function of time for this angular speed? (Use the following as necessary: t. Do not use other variables, substitute numeric values. Assume that is in volts. Do not include units in your answer.)

(b) What is the maximum induced emf in the coil for this angular speed?

V

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