Magnetic ball falling inside conducting tube

Click For Summary
SUMMARY

The discussion centers on the dynamics of a magnetic ball with magnetization M, mass m, and radius R falling through a conducting tube with radius slightly larger than R, thickness Δ, and conductivity σ. The ball falls slowly due to electromagnetic damping, which is a result of the induced currents in the conducting tube. The participant expresses uncertainty about the mathematical approach to model this scenario, referencing a paper that utilizes monopole approximations, while considering a dipole approximation for their specific case.

PREREQUISITES
  • Understanding of magnetic dipoles and monopoles
  • Familiarity with electromagnetic induction principles
  • Knowledge of basic mechanics and forces acting on falling objects
  • Ability to interpret and apply mathematical models in physics
NEXT STEPS
  • Study the principles of electromagnetic damping in conducting materials
  • Learn about the mathematical modeling of magnetic dipoles
  • Review the paper referenced (arXiv: physics/0603270) for insights on monopole approximations
  • Explore the derivation of induced currents in conductors due to moving magnetic fields
USEFUL FOR

Students and researchers in physics, particularly those focusing on electromagnetism and dynamics of magnetic materials, as well as educators looking for practical examples of magnetic interactions in conducting media.

masterjoda
Messages
21
Reaction score
0

Homework Statement


I have a magnetic ball with magnetization M, mass m and radius R that starts to fall from rest through conducting tube of radius a little big larger than R, thickness [itex]\Delta[/itex] and conductivity [itex]\sigma[/itex]. The ball is not rotating, it said that magnetization is oriented vertically down.

Homework Equations


Professor send me this problem, usually I know how to solve the problems that he sends me, but his one I don't know even how to start.
 
Physics news on Phys.org
They here use approximation with two monopoles but in my case I have a sphere and I think I sound me approximation with a one dipole but I don't know how to write flux then?
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
Replies
4
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
Replies
23
Views
5K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
Replies
43
Views
5K