Giancoli 7th Edition textbook cover
Giancoli's Physics: Principles with Applications, 7th Edition
21
Electromagnetic Induction and Faraday's Law
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21-1 to 21-4: Faraday's Law of Induction
21-5: Generators
21-6: Back EMF and Torque
21-7: Transormers
21-10: Inductance
21-11: Magnetic Energy Storage
21-12: LR Circuit
21-13: AC Circuits and Reactance
21-14: LRC Circuits
21-15: Resonance in AC Circuits

Question by Giancoli, Douglas C., Physics: Principles with Applications, 7th Ed., ©2014, Reprinted by permission of Pearson Education Inc., New York.
Problem 5
Q

An 18.5-cm-diameter loop of wire is initially oriented perpendicular to a 1.5-T magnetic field. The loop is rotated so that its plane is parallel to the field direction in 0.20 s. What is the average induced emf in the loop?

A
0.20 V0.20 \textrm{ V}
Giancoli 7th Edition, Chapter 21, Problem 5 solution video poster
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COMMENTS
By jhessica90 on Mon, 4/4/2022 - 12:31 AM

How come there is not a negative sign in front of the N in this problem?

By Mr. Dychko on Mon, 4/4/2022 - 2:24 PM

Hi jhessica, good to notice that. You're quite right that there is typically a negative sign in front of this formula. The purpose of the negative sign is to remind us that the induced EMF is directed in such a way that it produces an induced magnetic flux that opposes the change in magnetic flux that gave rise to the induced EMF. The induced EMF produces an induced magnetic flux that is opposite to the change in magnetic flux, and the negative sign expresses the opposite direction. In this particular question we're asked for the average induced EMF. The direction of it is not important, and I expressed the irrelevance of the direction for this particular question by enclosing the EMF sign between absolute value signs. All we are concerned with in this question is the magnitude of the induced EMF, not its direction.
Hope this helps,
Shaun

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