Solving the EMF Problem: Cross Sectional Area, Number of Turns & Revolutions/s

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SUMMARY

The discussion focuses on calculating the induced electromotive force (emf) in a rotating coil within the Earth's magnetic field. The coil, rotating at 200 revolutions per second, has a cross-sectional area of 20 cm² and consists of 1000 turns. The relevant formula for voltage is V = NωBA sin(ωt), where B is the magnetic field strength, which is approximately 0.5 Gauss (converted to Tesla for calculations). The maximum voltage (Vmax) is influenced by the magnetic field strength, the number of turns, and the angular velocity.

PREREQUISITES
  • Understanding of electromagnetic induction principles
  • Familiarity with the formula V = NωBA sin(ωt)
  • Knowledge of magnetic field strength in Gauss and Tesla
  • Basic calculus for integrating emf over time
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  • Learn about converting Gauss to Tesla for accurate magnetic field calculations
  • Study the principles of electromagnetic induction in rotating systems
  • Explore the effects of varying the number of turns on induced voltage
  • Investigate the impact of angular velocity on emf generation
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Physics students, electrical engineers, and anyone interested in the principles of electromagnetism and coil design for generating induced voltage.

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Here is the question. A coil rotates at 200 revoltuions per second in the Earth's field. If the coil has a cross sectional area of 20cm^2 and has 1000 turns, approximately what emf is induced in the coil as a function of time?

I know emf= int of E*dL and that the voltage proudces across a coil is V= NwBA sin(wt). I guess what i don't get is what would i use for my B or do i need to use a different equation.
 
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Unless I'm mistsaken, the B in the statement here is the Earth's B. The Value for Earth is .5 Gauss, an extremely weak number compared to the tesla. find a conversion factor to get that value in tesla and there's your B value. now remember, the voltage is also written as v=vmaxsin(omega t). V max is dependent abviously on your B field, you number of turns and so on. If you need more help or if that wasn't suficient, then let me know
 

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