What is the maximum emf induced in a rotating coil with given parameters?

AI Thread Summary
The discussion focuses on calculating the maximum electromotive force (emf) induced in a rotating coil with specific parameters. The formula Emax = NBAw is proposed, where N is the number of turns, B is the magnetic field strength, A is the cross-sectional area, and w is the angular velocity. A participant calculates Emax to be 35.82 but doubts its accuracy. The importance of understanding how the changing area affects the induced voltage is emphasized, noting that only the area changes while the magnetic field remains constant. The conversation highlights the need to consider the rate of change of area over time to accurately determine the induced emf.
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Homework Statement



A 104-turn coil rotates 7.14 times per second. The coil has a cross-sectional area of 0.670 m2 and the
magnetic field through the coils is 0.0720 T. What is the maximum emf induced in the coil?

Homework Equations



Honestly the rotating coil is throwing me off. But I think I should use Emax= NBAw

The Attempt at a Solution


Emax= NBAw
=104*.072 T * .67 m2 * 7.14 = 35.82But I think that is wrong!

Thanks, Any direction is appreciated!
 
Last edited:
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The rotating coil causes the area that the magnetic field cuts through to change. In the ΔBA term only A changes. B stays the same. This means that the induced voltage will change from a minimum to a maximum and back as the coil rotates in the field. So you need to evaluate the ΔA/Δt term. that is by how much do the area change in what amount of time.
 

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