Hollow cylinder magnet making contact with the circuit

Click For Summary
SUMMARY

The discussion centers on the interaction between a hollow cylinder magnet and a circuit, specifically examining the electromotive force (emf) generated when either the circuit moves downward while the magnet remains fixed, or the magnet moves upward while the circuit is stationary. The participant references Maxwell's equations and the formula F = v x B to analyze the forces acting on a charge in different reference frames. The main inquiry is how to express the effects of a moving uniform magnetic field in the coordinate system of a fixed charge, particularly when the charge's velocity is zero.

PREREQUISITES
  • Understanding of Maxwell's equations
  • Familiarity with electromagnetic theory
  • Knowledge of the Lorentz force law (F = v x B)
  • Basic concepts of reference frames in physics
NEXT STEPS
  • Research the implications of the Lorentz force in different reference frames
  • Study the principles of electromagnetic induction and Faraday's law
  • Explore the concept of magnetic fields in motion and their effects on stationary charges
  • Investigate practical applications of moving magnets and circuits in generating emf
USEFUL FOR

Physics students, educators, and professionals in electromagnetism, particularly those interested in the dynamics of magnetic fields and their interactions with electric circuits.

TwoEG
Messages
13
Reaction score
0

Homework Statement



mm.png


1. Circuit moves downward while cylinder magnet is fixed.

2. Cylinder magnet moves upward while circuit is fixed.

Gain emf in circuit.

Homework Equations



All those maxwell equations...
F=v x B

The Attempt at a Solution


[/B]
So first question is not that hard. Circuit moves in a static magnetic field. Okay. And I saw second question. Hmm. isn't it just relatively the same case as 1st one? But I've never thought of F=v x B in this way. I tried to see moving uniform magnetic field in fixed charge's coordinate. But it's just uniform magnetic field that doesn't change with time. And me, charge doesn't move at all from my perspective.

To sum up, my question is how does moving-uniform magnetic field is expressed in fixed charge's coordinate and how can I explain the forces that exerted upon this charge?
 

Attachments

  • mm.png
    mm.png
    17.3 KB · Views: 1,543
  • mm.png
    mm.png
    17.3 KB · Views: 1,748
Physics news on Phys.org
The cylinders look different. One appears to have a hole drilled in side. Other one has a slot.
 
scottdave said:
The cylinders look different. One appears to have a hole drilled in side. Other one has a slot.

Yes, but that's not main concern for me. (Maybe I should just attached another adequate picture.)

My question is, there is a magnet and a charge which moves relative to each other. In magnet's coordinate, force exerted on charge can be easily expressed via F = v x B. But how can I explain this force in this charge's coordinate? Clearly v here is zero, and in above case magnetic field is also just uniform.
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
762
  • · Replies 18 ·
Replies
18
Views
2K
Replies
12
Views
2K
Replies
3
Views
649
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
11
Views
3K
  • · Replies 31 ·
2
Replies
31
Views
2K
Replies
1
Views
2K
Replies
2
Views
1K