Calculating Induced EMF in a Coil with Uniform Magnetic Field

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SUMMARY

The discussion centers on calculating the induced electromotive force (EMF) in a copper wire wound around a toilet paper roll placed in a uniform magnetic field. The key formula referenced is Faraday's Law, which states that EMF is equal to the rate of change of magnetic flux, expressed as d(N*magnetic_flux)/dt. In this scenario, the magnetic flux is constant and calculated as BS=π(r)^2B, where B is the magnetic field strength and r is the radius of the roll. The variable N, representing the number of wire turns, changes over time as the wire is unrolled.

PREREQUISITES
  • Understanding of Faraday's Law of Electromagnetic Induction
  • Knowledge of magnetic flux and its calculation
  • Familiarity with the concept of induced EMF
  • Basic principles of coils and magnetic fields
NEXT STEPS
  • Study the application of Faraday's Law in different electromagnetic scenarios
  • Learn about the relationship between wire turns and induced EMF
  • Explore the calculation of magnetic flux in various geometries
  • Investigate practical applications of induced EMF in electrical engineering
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Students in physics, electrical engineering professionals, and anyone interested in understanding electromagnetic induction and its applications in real-world scenarios.

Sir_Pogo
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I have a homework problem where there is a long copper wire around a toilet paper roll that is placed in a uniform magnetic field. The axis of the roll is aligned with the field.
I am given the radius of the roll, strength of the field, and a velocity at which the wire is unrolled.
How do i calculate the magnitude of the EMF induced in the wire??
 
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How do you associate a speed to the unrolling?!? I don't understand.
Could you post the problem exactly as it it written please?

Btw - you posted in the wrong forum. Next time, please post in the appropriate sub-forum among those:

https://www.physicsforums.com/forumdisplay.php?f=152
 
Note that as it's said in Faraday's Law EMF is equal to d(N*magnetic_flux)/dt where N is a total amount of wire turns and magnetic_flux is per each one.

In your example your, magnetic_flux is const. and equal to BS=pi (r)^2 B. And only N changes in time. Try to think about dependence between N and time
 
What I have a lot of trouble understanding is... how do people with some sort of science education consistently misinterpret the sticky at the top of the forum that says 'Do not post your homework questions here.'? There are forums for that, but this is not one of them.
 

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