Faraday's Law of Induction: Why is EMF Inversely Proportional to Time?

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SUMMARY

The discussion centers on Faraday's Law of Induction, specifically the relationship between electromotive force (EMF) and time. Key findings indicate that EMF is proportional to the number of turns (N) and magnetic field strength (B), while being inversely proportional to time (t). The inverse relationship is explained by the necessity of a changing magnetic field to induce EMF, as a constant magnetic field would not produce any induced EMF. The participant seeks clarification on the physics behind this inverse relationship, particularly in relation to the force on delocalized electrons.

PREREQUISITES
  • Understanding of Faraday's Law of Induction
  • Familiarity with electromagnetic concepts such as magnetic fields and induced EMF
  • Basic knowledge of physics equations, particularly F = BIl
  • Experience with graphing and interpreting experimental data
NEXT STEPS
  • Research the mathematical derivation of Faraday's Law of Induction
  • Explore the relationship between magnetic flux and EMF
  • Study the implications of changing magnetic fields on induced currents
  • Investigate practical applications of Faraday's Law in electrical engineering
USEFUL FOR

Students studying physics, educators teaching electromagnetism, and anyone interested in the principles of electromagnetic induction and their applications in technology.

Em713
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Hi, I am doing coursework on Faraday's law of induction. My assignment was to carry out experiments which confirm Faraday's law and also to explain the physics of how faraday's law works... My experiments all worked perfectly, producing straight line graphs showing that:
[itex]\epsilon\propto[/itex] N
[itex]\epsilon\propto[/itex] B
[itex]\epsilon\propto\frac{1}{t}[/itex]

I did not do any experiments to test [itex]\epsilon\propto[/itex]A ...

I have explained the physics behind the first two results, but for the life of me I can't justify WHY the EMF is inversely proportional to time... I have thought about F = BIl = [itex]\frac{BQl}{t}[/itex], therefore the force on the delocalised electrons is inversely proportional to time... But it's all dead ends after that...

Any help would be GREATLY appreciated!

Thank you in advance!
 
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Well if your EMF didn't vary with time, it would mean that your magnetic field would remain constant. Without it changing you cannot get an induced emf (well something has to change with time essentially).
 

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