Permanent Magnetic Dipole in an electromagnetic field

In summary, a permanent magnetic dipole in an electromagnetic field interacts with the field's magnetic components, resulting in a torque that tends to align the dipole with the field. The behavior of the dipole is governed by the magnetic dipole moment and the external field's strength and orientation. The energy associated with this interaction can be described mathematically, revealing how the dipole experiences forces and torques that can lead to rotational and translational motion. This phenomenon is fundamental in various applications, including magnetic resonance imaging and the design of electric motors.
  • #1
Aviax98
2
0
I've been trying really hard to calculate the forces between a permanent magnet that is within an electromagnetic field.
I have tried every formula under the sun, but it seems I am just not using the right ones, as my results always end up nonsensical.

To be clear, I am trying to understand the math behind a project like this one:
https://kevinlynagh.com/pcb-stepper/
However, the math here just doesn't look right. The OP seems to just drop off terms from the formulas and make strange jumps in their logic.

Would anyone be able to point me in the right direction as to what formulas I would need to figure out the math behind a system like this? I don't even need it to be perfectly accurate, just an approximation would suffice.
Thanks all!
 
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  • #2
Welcome to PF.

It seems you are getting into linear induction or stepper motors.

First, you need to understand the history of linear motors and why they are difficult to design. There are not only horizontal forces along the plane, there are also vertical forces, that can stick the carriage to the track, or throw it up in the air.
A History of Linear Electric Motors. Eric R. Laithwaite. 1987.

Second, you need to understand the materials, do some field mapping, and then some calculations. Take a look at;
Linear Synchronous Motors: Transportation and Automation Systems. 2'nd Edn, 2012.
Jacek Gieras, Zbigniew J. Piech, and Bronislaw Tomczuk.
 
  • #3
Hi Thanks for your reply and your suggestions!
I will have a read of those and see how I go.
 

FAQ: Permanent Magnetic Dipole in an electromagnetic field

What is a permanent magnetic dipole?

A permanent magnetic dipole is an object that has a consistent magnetic field with a north and south pole, resulting from the alignment of magnetic moments of atoms or molecules within the material. Common examples include bar magnets and magnetic materials like iron.

How does a permanent magnetic dipole interact with an electromagnetic field?

A permanent magnetic dipole interacts with an electromagnetic field through forces and torques. The magnetic field exerts a force on the dipole, which can cause it to move, and a torque that tends to align the dipole with the magnetic field lines. This interaction is described by the Lorentz force law and can be quantified using concepts like magnetic moment and magnetic flux.

What are the applications of permanent magnetic dipoles in electromagnetic fields?

Permanent magnetic dipoles have a wide range of applications in various fields. They are used in electric motors and generators, magnetic resonance imaging (MRI) in medical diagnostics, data storage devices like hard drives, magnetic sensors, and in the study of magnetic materials and their properties.

How does the strength of the electromagnetic field affect a permanent magnetic dipole?

The strength of the electromagnetic field affects the force and torque experienced by a permanent magnetic dipole. Stronger fields result in greater forces and torques, which can lead to more significant alignment or movement of the dipole. The magnetic potential energy of the dipole also depends on the field strength, influencing its stability and behavior.

Can the orientation of a permanent magnetic dipole be controlled in an electromagnetic field?

Yes, the orientation of a permanent magnetic dipole can be controlled in an electromagnetic field. By adjusting the direction and strength of the external magnetic field, one can manipulate the dipole to align in desired orientations. This principle is utilized in various technologies, such as magnetic levitation, magnetic actuators, and in controlling the orientation of magnetic particles in fluids.

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