Equation for the EMF generated by a spinning magnet?

Click For Summary
SUMMARY

The discussion centers on the equation for the electromotive force (EMF) generated by a spinning magnet near a coil, expressed as E = FNAω × 10^-8 volts. Here, F represents the magnetic field strength perpendicular to the axis of rotation, N is the number of turns in the coil, A is the effective area of the coil, and ω is the angular velocity. The equation resembles Faraday's law of electromagnetic induction, E = N[ΔBA/t], prompting questions about the relationship between the two equations and the nature of the magnetic field variable F. The participant seeks clarification on whether F is merely a scalar field strength or a vector quantity.

PREREQUISITES
  • Understanding of Faraday's Law of electromagnetic induction
  • Knowledge of angular velocity and its implications in physics
  • Familiarity with magnetic field concepts and units
  • Basic grasp of coil geometry and electrical engineering principles
NEXT STEPS
  • Research the derivation of Faraday's Law and its applications in electromagnetic systems
  • Explore the relationship between magnetic field strength and vector quantities
  • Study the effects of angular velocity on induced EMF in coils
  • Investigate practical applications of spinning magnets in generating electricity
USEFUL FOR

Physics students, electrical engineers, and anyone interested in electromagnetic theory and applications in energy generation.

Wilfrid Somogyi
Messages
6
Reaction score
0
I have found an equation which gives the EMF generated in a coil when a magnet is spun near it, the equation is given as:

E = FNAω × 10-8 volts.

Where F is the field of the sample perpendicular to the axis of roation, N is the number of turns, A is the effective area of the coil and ω is the angular velocity of rotation.

Now this looks a lot like Faraday's law, E = N[ΔBA/t].

My question is, how do you get from Faraday's law to the first equation?

Assuming that when they say F is the field, they mean the strength of the field, I don't see how you can get the units to match up. Unless I'm mistaken and F is more than just the strength of the field and it is perhaps a vector quantity, but then what vector quantity is it and how is it desribed?
 
Physics news on Phys.org
Update: I think I've sussed it, though if anyone can verify my mathematics that would be great.
derivation.jpg
 

Similar threads

  • · Replies 27 ·
Replies
27
Views
3K
  • · Replies 9 ·
Replies
9
Views
4K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 3 ·
Replies
3
Views
714
  • · Replies 5 ·
Replies
5
Views
2K
Replies
4
Views
3K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K