Force Produced from a Magnet In a Solenoid

[cstobart]

Hi,

I was browsing through many academic papers and could find little information of a simple solenoid with a permanent magnet in the core of the solenoid. Solving the field in a simple solenoid is very straight forward, but I was having difficulty understanding the interaction between the permanent magnet and the solenoid - in terms of force.

I would like to determine the force applied to the permanent magnet when the solenoid is energized. Please note that the permanent magnet is cylindrical, will always have some portion of itself in the core of the solenoid, and can move freely. Can anyone point me in the right direction or better yet show me how to develop such an equation?

Please avoid giving me recommendations for FEM or similar tools.

Thank you in advance!

 

[eljose79]

I would like to offer some insight into your question about the interaction between a permanent magnet and a solenoid. First, I would like to clarify that the force applied to the permanent magnet when the solenoid is energized will depend on a few factors, such as the strength of the magnetic field in the solenoid, the orientation and strength of the permanent magnet, and the distance between the magnet and the solenoid.

To determine the force, we can use the principle of Lorentz force, which states that a magnetic field will exert a force on a moving charge. In this case, the permanent magnet can be considered as a collection of moving charges. When the solenoid is energized, it creates a magnetic field that interacts with the magnetic field of the permanent magnet.

The force applied to the permanent magnet can be calculated using the following equation:

F = qv x B

Where F is the force, q is the charge of the permanent magnet, v is its velocity, and B is the magnetic field. Since the permanent magnet is cylindrical, we can assume that its velocity is constant and its orientation is parallel to the axis of the solenoid. Therefore, the force can be simplified to:

F = qvB

Moreover, the strength of the magnetic field in the solenoid can be calculated using the equation:

B = μ0N/l * I

Where μ0 is the permeability of free space, N is the number of turns in the solenoid, l is its length, and I is the current flowing through it.

By combining these equations, we can develop an equation to determine the force applied to the permanent magnet when the solenoid is energized. However, the exact equation will depend on the specific dimensions and properties of your solenoid and permanent magnet. I would recommend doing some further research and calculations to determine the appropriate values for your specific setup.

I hope this helps guide you in the right direction. If you have any further questions, please do not hesitate to ask. Good luck with your research!