Relationship between remanence (B_r) and Magnetization (M)

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SUMMARY

The discussion centers on the relationship between remanence (B_r) and magnetization (M) in NdFeB magnets, specifically addressing whether a linear relationship exists between these two properties. The remanence value of B_r = 1.3 T is established, but the exact corresponding magnetization value remains unclear due to the presence of unknown variables such as magnetic susceptibility (χm). It is confirmed that magnetization and remanence are distinct properties, contrary to common misconceptions. The discussion also highlights that in closed-shaped magnets, such as toroidal configurations, the relationship simplifies to B_r equaling μ₀ times the magnetization.

PREREQUISITES
  • Understanding of magnetic properties, specifically remanence and magnetization.
  • Familiarity with NdFeB (Neodymium Iron Boron) magnets and their characteristics.
  • Knowledge of magnetic susceptibility (χm) and its role in magnetism.
  • Basic principles of magnetostatics, including the concepts of magnetic fields (B) and magnetic field strength (H).
NEXT STEPS
  • Research the specific magnetic properties of NdFeB magnets, focusing on their remanence and magnetization characteristics.
  • Explore the concept of magnetic susceptibility (χm) and its measurement techniques.
  • Study the mathematical relationships between magnetic field strength (H), magnetic flux density (B), and magnetization (M).
  • Investigate the effects of magnet shape on magnetic properties, particularly in closed versus open configurations.
USEFUL FOR

This discussion is beneficial for materials scientists, physicists, and engineers working with magnetic materials, particularly those involved in the design and application of NdFeB magnets in various technologies.

sgsawant
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Hi,

I have scoured through scores of websites but haven't found a reasonable solution. The thought problem goes like this. Take any NdFeB magnet which is saturated say to B_r =1.3 T. Is there a magnetization (M) value that corresponds to the this remanence. I have been able to find a few relations but then in the end I am still left with unknowns. For example χm (perhaps read as "Ki"). And even those are not easy to find for materials like NdFeB.

So the question is, is there a linear relationship between remanent field and magnetization? Many websites refer to magnetization as if it is the same as remanence. That I know for sure it is not.

Regards,

-sgsawant
 
Physics news on Phys.org
If the magnet has a closed shape, like a torus, then the remanence field Br equals mu0 times the magnetization because the H field is null. In an open magnet the B field is less than Br.
 

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