Mindblowing electromagnetic induction

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Discussion Overview

The discussion revolves around a physics problem related to electromagnetic induction, specifically focusing on calculating the maximum electromotive force (emf) generated by a rotating wire frame in a magnetic field. Participants explore various approaches to derive the emf based on the given parameters of the problem.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant proposes that the emf can be calculated simply as WBA.
  • Another participant suggests that during the first half of the time period, the area vector changes from S to -S, leading to a change of 2S, and calculates the emf as 2BSW/pi, although expresses uncertainty about this approach.
  • A participant mentions trying the previous method but finds that it does not match the expected solution, indicating confusion about the calculations.
  • Another participant advises writing down the flux linkage when the coil is at an angle theta to the magnetic field and applying Faraday's law to find the emf.
  • One participant indicates they attempted the flux linkage method but arrived at the same answer as before, suggesting a lack of resolution in their calculations.
  • A later reply suggests differentiating the equation with respect to time to find the emf.
  • A middle school participant expresses difficulty with differentiation and requests assistance with the concept.

Areas of Agreement / Disagreement

There is no consensus on the correct method to calculate the maximum emf, as participants present different approaches and express uncertainty about their results.

Contextual Notes

Participants have varying levels of mathematical knowledge, with some not yet familiar with differentiation or integration, which may affect their ability to engage with the problem fully.

Who May Find This Useful

This discussion may be useful for students preparing for physics competitions, particularly those interested in electromagnetic induction and its applications.

dimitrijejank
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Hi, I been practicing for my physics compettiotion as I stumbled upon a difficult problem.I couldn't do I for days so I turned to internet in hope someone can help me.

The idea is as following: You have a frame made of wire and its area is S it rotates with a angular speed of W, in a magnetic field of induction B.The question is : "What's the intensity of the max Electromotive force?"

Thanks for your help! :)
 
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Why isn't it just WBA?
 
During the first half time period S vector will be changing from S to -S resulting in a change 2S. This happens in time of pi/W.So the time rate of change of area is 2SW/pi. Since B remains the same during the entire process simply multiplying its magnitude will give you the emf.So the value of emf will be 2BSW/pi.Any way i am not quite sure of this
 
Thx for the reply. :D I tryed the way u did it and it still doesn't mach the given value for the solution... It creeps me out! But I get over it...
 
Write down a value for the flux linkage when the coil is at an angle theta to the field and then apply Faradays law.
 
:
Dadface said:
Write down a value for the flux linkage when the coil is at an angle theta to the field and then apply Faradays law.

Ya.I tried using that method also and ended up with the same answer:rolleyes:
 
You have to differentiate your equation with respect to t.
 
I'm in the middle school we haven't learned diferencionals or integrals could you show me how to do it... please?
 

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