Calculate the electromotive force E

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Discussion Overview

The discussion revolves around demonstrating the relationship of the electromotive force (emf) in an AC motor. Participants explore various equations and principles related to motional emf, Faraday's laws, and the mathematical expressions that describe these relationships.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants propose using the equation E=BLVsinθ*N to demonstrate the relationship of emf in an AC motor, where v is the rotor's linear velocity and N is the number of turns.
  • Others suggest proving the motional emf equation using Lorentz's force (F=BILsinθ) applied to electrons in a conductor before applying it to an alternator.
  • One participant emphasizes the use of Faraday's law, stating that the emf can be expressed as e = -dΦ/dt, where Φ is the magnetic flux.
  • There is a contention regarding the correct expression for emf, with some participants presenting E = N L r w B cos(wt) while others argue for the use of sin(wt) instead.
  • One participant notes that the varying flux function must be predefined as either a sine or cosine wave, affecting the resulting emf expression.

Areas of Agreement / Disagreement

Participants express differing views on the correct mathematical representation of the emf, particularly regarding the use of sine versus cosine functions. There is no consensus on which expression is correct, and the discussion remains unresolved.

Contextual Notes

Participants reference various equations and principles without resolving the assumptions or definitions that underlie their claims. The discussion includes competing models and interpretations of the relationship between emf and magnetic flux.

bassi ali
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hi,
How can I demonstrate the relationship of the electromotive force of a motor AC
thank you
 

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bassi ali said:
hi,
How can I demonstrate the relationship of the electromotive force of a motor AC
thank you
Motional emf will be induced in the rotor. Use E=BLVsinθ*N (where v=rw and N=number of turns of rotor).
 
bassi ali said:
hi,
How can I demonstrate the relationship of the electromotive force of a motor AC
thank you
For detailed demo, you can first prove the motional emf equation using Lorentz's force(F=BILsinθ) applied on electrons of a conductor and then apply the emf equation to this alternator.
 
which force you talk about ?
the rectangle is fixed and the flow varies,
I think to use the flow of magnetic induction,
I think to use Faraday's relationship e = - dΦ / dt (the derivative currency flows on derivative temp).
in using Φ=∫∫ B.dS
 
bassi ali said:
the rectangle is fixed and the flow varies,
Then you should use Faraday's laws.
bassi ali said:
I think to use Faraday's relationship e = - dΦ / dt (the derivative currency flows on derivative temp).
in using Φ=∫∫ B.dS
Right.
 
but i find this expression : E = N L r w B cos(wt)
====> must find sin (wt) instead of cos (wt)
 
bassi ali said:
but i find this expression : E = N L r w B cos(wt)
====> must find sin (wt) instead of cos (wt)
Then you should assume the varying flux as a cosine wave.
sin(wt)=cos(π/2-wt).
 
i have cos(wt) not sin(wt) !
 
bassi ali said:
i have cos(wt) not sin(wt) !
Your varying flux function should be predefined, either sin or cos. If it is sin, emf will be in cos(wt).
 

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