Modelling static magnetic fields for electromagnets

[normad]

Hi guys,

What I am trying to do is to create a mathematical model for the attraction forces between two or more electromagnets placed parallel to each other. (when the exitation currents are static)
And for this i thought the best approach would be to have a model that can provide a 3D model for the magnetic field strengths around one magnet, and then use Lorentz force equations to calculate the force on other magnets.

Please correct me if my approach is wrong.

I'm new to electromagnetism and magnetostatictics. I've so far looked at biot-savart law and amperes law. I can understand Biot-savarts law for an infinite length wire but I'm not sure how to apply that to an electromagnet. Any help or guidance is greatly appreciated.

Thanks in advance

 

[eljose79]

!

Hello there,

Your approach is definitely on the right track. In order to create a mathematical model for the attraction forces between electromagnets, you will need to understand the magnetic field strengths around one magnet and how they interact with each other.

The Biot-Savart law is a good starting point for understanding the magnetic field around a current-carrying wire. However, for an electromagnet, you will need to consider the effects of the magnetic field generated by the current in the wire and the magnetic field generated by the permanent magnet within the electromagnet. This can be done using the superposition principle, which states that the total magnetic field at any point is the sum of the magnetic fields produced by each individual source.

To apply the Biot-Savart law to an electromagnet, you will need to consider the shape and orientation of the wire, as well as the current flowing through it. You can then use this information to calculate the magnetic field at any point in space.

Once you have calculated the magnetic field strengths around one magnet, you can use the Lorentz force equations to calculate the force on other magnets. These equations take into account the magnetic field, the current, and the relative positions of the magnets, and can be used to determine the direction and magnitude of the force.

I hope this helps guide you in your research. Good luck!