Force from Infinitely Long Cylindrical Magnet on Magnetic Dipole

  • Thread starter patm95
  • Start date
  • Tags
    Magnet
In summary, the formula for calculating the force between an infinitely long cylindrical magnet and a magnetic dipole is F = μ0 * m * M / (2πr^3), where F is the force, μ0 is the permeability of free space, m is the magnetic moment of the dipole, M is the magnetic field strength of the magnet, and r is the distance between the magnet and dipole. This force follows an inverse cube law and can be repulsive if the objects have opposite magnetic orientations. The strength of the magnetic field directly affects the force and it can be used for levitation.
  • #1
patm95
31
0

Homework Statement



What is the force from an infinitely long cylindrical magnet on a magnetic dipole?

Homework Equations



M=Mz (given in problem)

The Attempt at a Solution



My argument for this solution that since the magnetization is in the z direction and the cylinder is infinitely long, there is no magnetization outside of the cylinder. I believe this is correct, but would like some feedback to make sure :) Thanks!
 
Physics news on Phys.org
  • #2
Perhaps you were expected to make calculations at varying/increasing lengths?
 

FAQ: Force from Infinitely Long Cylindrical Magnet on Magnetic Dipole

What is the formula for calculating the force between an infinitely long cylindrical magnet and a magnetic dipole?

The formula for calculating the force between an infinitely long cylindrical magnet and a magnetic dipole is F = μ0 * m * M / (2πr^3), where F is the force, μ0 is the permeability of free space, m is the magnetic moment of the dipole, M is the magnetic field strength of the magnet, and r is the distance between the magnet and dipole.

How does the force between an infinitely long cylindrical magnet and a magnetic dipole change with distance?

The force between an infinitely long cylindrical magnet and a magnetic dipole follows an inverse cube law, meaning that it decreases as the distance between the two objects increases. This can be seen in the formula F = μ0 * m * M / (2πr^3), where r is in the denominator.

Can the force between an infinitely long cylindrical magnet and a magnetic dipole be repulsive?

Yes, the force between an infinitely long cylindrical magnet and a magnetic dipole can be repulsive if the two objects have opposite magnetic orientations. This means that the magnetic fields of the two objects are pointing in opposite directions, causing a repulsive force between them.

How does the strength of the magnetic field affect the force between an infinitely long cylindrical magnet and a magnetic dipole?

The strength of the magnetic field, represented by M in the formula F = μ0 * m * M / (2πr^3), directly affects the force between an infinitely long cylindrical magnet and a magnetic dipole. As the magnetic field strength increases, the force between the two objects also increases.

Can the force between an infinitely long cylindrical magnet and a magnetic dipole be used for levitation?

Yes, the force between an infinitely long cylindrical magnet and a magnetic dipole can be used for levitation. This is because the force can be repulsive, allowing the two objects to float or levitate above each other. This principle is used in magnetic levitation trains and other levitation devices.

Similar threads

Find the magnetic field inside the cylinder
Replies
1
Views
2K
Infinitely long cylindrical shell (magnetic field at centre)
Replies
1
Views
4K
Force of a magnetized cylinder on a ferromagnetic surface
Replies
1
Views
2K
Moving magnetic dipole into current loop
Replies
1
Views
2K
Force between 2 parallel magnetic dipole moments
Replies
1
Views
3K
Force & Torque on Electric Dipole in Magnetic Field
Replies
4
Views
2K
Vector Potential of a Rotating Mangetic Dipole
Replies
5
Views
3K
Half infinite cylinder uniform charge
Replies
16
Views
2K
Cylindrical symmetric magnetic field
Replies
3
Views
3K
Magnetic field in and around a conductive hollow cylinder
Replies
2
Views
762

Hot Threads

Recent Insights

Back
Top