My teacher hasnt been in and Im trying to self teach this topic. Can

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SUMMARY

The discussion centers on calculating the induced electromotive force (EMF) in a flat circular coil with a mean diameter of 3.0 cm and 500 turns, subjected to a uniform magnetic field of flux density 20 mT. Using Faraday's law, the EMF can be calculated with the formula EMF = -N(Δφ/Δt), where Δφ represents the change in magnetic flux and Δt is the time interval of 60 ms. The magnetic flux is determined by multiplying the magnetic flux density by the area of the coil. Additionally, it is established that when the EMF is at its peak, the current is also at its peak, as per Ohm's law (V = iR).

PREREQUISITES
  • Understanding of Faraday's law of electromagnetic induction
  • Knowledge of magnetic flux and its calculation
  • Familiarity with Ohm's law and its application
  • Basic concepts of electromagnetism and coil properties
NEXT STEPS
  • Calculate the area of a circular coil using the formula A = πr²
  • Explore the implications of changing magnetic fields on induced EMF
  • Study the relationship between voltage, current, and resistance in electrical circuits
  • Investigate applications of electromagnetic induction in real-world scenarios
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone interested in understanding the principles of electromagnetic induction and its applications in electrical engineering.

KatieKangaroo
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My teacher hasnt been in and I am trying to self teach this topic. Can anyone help me with this question, its probably quite simple but I am really stuck :redface: :frown:
A flat circular coil of mean diameter 3.0cm has 500 turns and is situated so that the plane of the coil is perpendicular to a uniform magnetic field of flux density 20mT. The intensity of the field is reduced to zero and then increased to 20mT in the opposite direction at the same steady rate throughout. Calculate the EMF induced in the coil if the whole operation takes 60ms.
Thanks in advance for any help.

Also: if the EMF is at its peak, is the current also at its peak?
 
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KatieKangaroo said:
My teacher hasnt been in and I am trying to self teach this topic. Can anyone help me with this question, its probably quite simple but I am really stuck :redface: :frown:
A flat circular coil of mean diameter 3.0cm has 500 turns and is situated so that the plane of the coil is perpendicular to a uniform magnetic field of flux density 20mT. The intensity of the field is reduced to zero and then increased to 20mT in the opposite direction at the same steady rate throughout. Calculate the EMF induced in the coil if the whole operation takes 60ms.
Just use Faraday's law:

[tex]EMF = -N\frac{\Delta\phi}{\Delta t}[/tex]

You have the magnetic flux density, so flux = density * area. You know the change in magnetic flux (+20mT to -20mT) and you know how long it took (60 ms). N is the number of coils.

KatieKangaroo said:
Also: if the EMF is at its peak, is the current also at its peak?
Ohm's law is V = iR, so yes: voltage (EMF) is proportional to current.
 
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