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

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SUMMARY

The maximum electromotive force (emf) induced in a rotating coil can be calculated using the formula Emax = NBAω. In this discussion, a 104-turn coil rotating at 7.14 revolutions per second, with a cross-sectional area of 0.670 m² and a magnetic field strength of 0.0720 T, yields a maximum emf of 35.82 V. The key takeaway is that the induced voltage varies as the coil rotates, affecting the area exposed to the magnetic field while the magnetic field strength remains constant.

PREREQUISITES
  • Understanding of Faraday's Law of Electromagnetic Induction
  • Familiarity with the formula Emax = NBAω
  • Knowledge of the concepts of magnetic fields and coils
  • Basic principles of rotational motion in physics
NEXT STEPS
  • Study the derivation and applications of Faraday's Law of Electromagnetic Induction
  • Learn about the effects of coil rotation speed on induced emf
  • Explore the relationship between magnetic field strength and induced voltage
  • Investigate practical applications of rotating coils in generators and motors
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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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