Calculate force on Permanent Magnet near a Paramagnetic surface

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SUMMARY

The discussion focuses on calculating the force exerted by a permanent magnet on a paramagnetic surface using specific parameters: Magnetic Field Strength (B), Radius of magnet (r), Height of magnet (h), Distance between magnet and surface (d), and Magnetic Susceptibility (X). The user aims to determine if the force exceeds a certain threshold for sensor detection. The formula for magnetic flux density of a cylindrical magnet is identified as a key step in calculating the force exerted. The assumption of an infinite area for the paramagnetic surface is noted as relevant to the calculations.

PREREQUISITES
  • Understanding of magnetic field concepts, specifically Magnetic Field Strength (B).
  • Familiarity with the properties of paramagnetic materials and their Magnetic Susceptibility (X).
  • Knowledge of the geometry of cylindrical magnets, including radius (r) and height (h).
  • Basic principles of force measurement using sensors.
NEXT STEPS
  • Research the formula for calculating magnetic flux density of cylindrical magnets.
  • Explore methods for measuring force exerted by magnets using force sensors.
  • Study the effects of distance (d) on magnetic force in relation to paramagnetic materials.
  • Investigate the implications of assuming infinite area for paramagnetic surfaces in magnetic calculations.
USEFUL FOR

Engineers, physicists, and hobbyists involved in sensor design, particularly those working with magnetic materials and force measurement techniques.

DeathCheese
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Hello all, new here but plan to stick around for a while. I am currently trying to make a sensor that can detect if a material below it is paramagnetic. I believe paramagnetic is the proper term, but it needs to detect if the force exerted by permanent magnet is above a certain threshold. The setup is simple with a permanent disk magnet sitting on a force sensor with an air gap between the force sensor and the paramagnetic surface. Anyways, if I know the following parameters, can I calculate the force, or am I being naive?
  • Magnetic Field Strength (B)
  • Radius of magnet (r)
  • Height of magnet (h)
  • Distance between magnet and surface (d)
  • Magnetic Susceptibility of surface (X)
Not sure if it's important but I'm assuming the surface being detected has an infinite area due to its size compared to the permanent magnet and sensor.

I appreciate any and all help, note I'm not a physics major so this might not be as difficult as I am making it. Thanks in advance!
 
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So I found the formula for magnetic flux density of a cylinder magnet. I guess once I find the flux density it should be pretty easy to find the force exerted. If I am missing anything let me know please.
 

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