Explaining Faraday's Law: Why ε=2∅/Δt?

  • Thread starter Thread starter HelpMeh
  • Start date Start date
  • Tags Tags
    Faradays law Law
AI Thread Summary
The equation ε=Δ∅/Δt represents the induced electromotive force (emf) in a coil due to a change in magnetic flux. When the plane of the coil is flipped, the magnetic flux changes from positive to negative, resulting in a total change of 2∅. This is because the change in flux is calculated as the difference between the final and initial flux values, which effectively doubles the absolute value. The discussion clarifies that the negative sign indicates a reversal in direction, reinforcing the concept of total change in flux. Understanding this principle is crucial for applying Faraday's Law in practical scenarios.
HelpMeh
Messages
13
Reaction score
0
Hi


Could someone explain why

ε=Δ∅/Δt

becomes 2∅/Δt?? i don't see how the change in magnetic flux is 2∅.
 

Attachments

  • Screen Shot 2012-04-19 at 6.55.00 PM.png
    Screen Shot 2012-04-19 at 6.55.00 PM.png
    31.3 KB · Views: 502
Physics news on Phys.org
the plane of the coil is flipped so that the normal to the plane becomes opposite. Therefore the flux is negative of what it was before, so the total change in flux is twice the absolute value of flux through the coil.
 
Thread 'Motional EMF in Faraday disc, co-rotating magnet axial mean flux'
So here is the motional EMF formula. Now I understand the standard Faraday paradox that an axis symmetric field source (like a speaker motor ring magnet) has a magnetic field that is frame invariant under rotation around axis of symmetry. The field is static whether you rotate the magnet or not. So far so good. What puzzles me is this , there is a term average magnetic flux or "azimuthal mean" , this term describes the average magnetic field through the area swept by the rotating Faraday...
It may be shown from the equations of electromagnetism, by James Clerk Maxwell in the 1860’s, that the speed of light in the vacuum of free space is related to electric permittivity (ϵ) and magnetic permeability (μ) by the equation: c=1/√( μ ϵ ) . This value is a constant for the vacuum of free space and is independent of the motion of the observer. It was this fact, in part, that led Albert Einstein to Special Relativity.
Back
Top