Magnet dropping through a loop

  • Thread starter Thread starter semc
  • Start date Start date
  • Tags Tags
    Loop Magnet
Click For Summary
SUMMARY

The discussion focuses on the dynamics of a permanent magnet with mass m, released through a stationary conducting ring characterized by radius a, resistance R, and inductance L. The equation of motion for the magnet is influenced by the retarding force due to the magnetic flux generated by the induced current in the loop, as dictated by Lenz's Law. Energy conservation principles dictate that the work done to generate the current must equal the thermal energy produced in the loop, establishing a direct relationship between the magnet's motion and the induced electromagnetic effects.

PREREQUISITES
  • Understanding of Lenz's Law in electromagnetism
  • Familiarity with the concepts of magnetic flux and induced current
  • Knowledge of the equations of motion in classical mechanics
  • Basic principles of energy conservation in electrical systems
NEXT STEPS
  • Study the derivation of the equation of motion for a magnet in a conducting loop
  • Explore the implications of Lenz's Law on induced currents in different configurations
  • Investigate the relationship between resistance, inductance, and energy dissipation in circuits
  • Examine practical applications of magnetic damping in engineering systems
USEFUL FOR

Physicists, electrical engineers, and students studying electromagnetism and classical mechanics, particularly those interested in the interaction between magnetic fields and conductive materials.

semc
Messages
364
Reaction score
5
A permanent magnet of mass m is located on the vertical axis of a stationary, conducting , non-magnetic ring for a long time. The ring has a radius a, resistance R and inductance L.At time t=0 the magnet is released. Suppose the magnet has dipole moment [tex]\mu[/tex]z. Write down the equation of motion.

Is the retarding force due magnetic flux generated by the induced current passing through the loop? If that is the case how do I evaluate the equation of motion of the magnet?
 
Physics news on Phys.org
Consider Lenz' Law. Energy must be conserved, so the work done to create the current in the loop must equal the thermal energy generated in the loop.
 
Last edited:

Similar threads

On the magnetic dipole radiation in Griffith's book
  • · Replies 1 ·
Replies
1
Views
2K
Moving magnetic dipole into current loop
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Motional EMF in Faraday disc, co-rotating magnet axial mean flux
  • · Replies 5 ·
Replies
5
Views
1K
Insights How to Model a Magnet Falling Through a Conducting Pipe
  • · Replies 10 ·
Replies
10
Views
3K
Why is a current ring approx a magnetic dipole from very far off?
  • · Replies 7 ·
Replies
7
Views
2K
Magnetic Flux through 1 loop due to current on the other
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad The vector math of relative motion of wire-loop & bar magnet
  • · Replies 1 ·
Replies
1
Views
2K
Current induced in loop as magnetic monopole passes
  • · Replies 1 ·
Replies
1
Views
5K
Multipole ring magnet generator
  • · Replies 9 ·
Replies
9
Views
4K
How to measure the magnetic field/ induced fem in a system
  • · Replies 2 ·
Replies
2
Views
2K