Stacked magnets with air gaps and the effect on magnetic flux

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SUMMARY

The discussion centers on calculating the total magnetic flux from a stack of identical magnets, each producing a magnetic flux of 17.5 gauss, separated by 4mm air gaps. The magnets are treated as planar coil electromagnets with a shared mild steel core of relative permeability K = 130. The user seeks guidance on applying the Biot-Savart law and superposition to determine the total flux at various axial distances.

PREREQUISITES
  • Understanding of magnetic flux and its measurement in gauss.
  • Familiarity with the Biot-Savart law and its application in magnetism.
  • Knowledge of superposition principles in electromagnetic fields.
  • Basic concepts of magnetic permeability and its significance in magnetic circuits.
NEXT STEPS
  • Research the application of the Biot-Savart law in calculating magnetic fields from multiple sources.
  • Explore the principles of magnetic flux superposition in stacked magnetic systems.
  • Investigate the effects of air gaps on magnetic field strength and distribution.
  • Study the impact of relative permeability on magnetic field calculations in composite materials.
USEFUL FOR

Students and researchers in physics or engineering, particularly those focusing on electromagnetism, magnetic field calculations, and magnetic material properties.

bobsback99
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I wasn't sure where to put this so mods feel free to move,
So this is a problem I'm trying to solve for a masters project and simplified it is this;

I essentially have a stack of magnets all separated by 4mm each magnet is identical and produces a magnetic flux of 17.5 gauss at its centre (all there fields are facing the same direction), in this state what will the total flux be at one of the ends or at any axial z distance?

You can treat the magnets as height 0 because in real life they are a series of planar coil electromagnets, and for the sake of simplicity we will say each has its own core but in fact there is 1 mild steel core of relative permeability K = 130.

If anyone knows how to solve this or can give me pointer where to look i would be v grateful.
 
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