Answered: Find an expresssion for the emf induced…

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 75PQ: A rectangular conducting loop with dimensions w = 32.0 cm and h = 78.0 cm is placed a distance a =...

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A uniform magnetic field B is perpendicular to the plane of a circular wire loop of radius r and with resistance R. The magnitude of the field varies with time according to B = B₀e^-t/T, where B₀and T are constants (T is time constant). (a) Find an expresssion for the emf induced in the loop as a function of time. (b) If the loop lies in the plane of the page and the magnetic field initially points out of the page, then what is the magnitude and direction of the induced current in the loop, i.e., is it clockwise, counter-clockwise, or is there no current induced in the loop? Include a diagram for this situation.

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