Finding the magnetization vector and magnetic field?

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SUMMARY

The discussion focuses on calculating the magnetization vector and magnetic field for bismuth and aluminum under an external magnetic field of 1 T. The magnetic susceptibilities are given as χm = −20 × 10−5 for bismuth and χm = 2 × 10−5 for aluminum. The relationship M = χm * H is utilized to determine the magnetization vector for both materials. The user seeks clarification on the next steps to complete the calculations.

PREREQUISITES
  • Understanding of magnetic susceptibility and its implications in materials science.
  • Familiarity with the formula M = χm * H for calculating magnetization.
  • Basic knowledge of magnetic fields and their interaction with materials.
  • Concept of the relationship between magnetization, magnetic field strength, and volume.
NEXT STEPS
  • Calculate the magnetization vector for bismuth and aluminum using M = χm * H.
  • Explore the effects of external magnetic fields on different materials.
  • Investigate the concept of magnetic permeability and its relation to magnetic susceptibility.
  • Learn about the applications of magnetization in practical scenarios, such as magnetic storage devices.
USEFUL FOR

Students and professionals in materials science, physicists, and engineers interested in magnetism and its applications in various materials.

mikehsiao789
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Hello,
I've been stuck on this question for a few hours and I hope someone can help. Here is the question:
"Consider two materials bismuth and aluminum with χ m = −20 ×10−5 and
χ m = 2 ×10−5, respectively. Find the magnetization vector and the magnetic field
in these materials when they are under an external magnetic field of 1 T in
direction x."

SO far what I have is this: magnetic susceptibility is defined by Xm= M/H = ur-1, and then M= (sigma Um)/ Volume. However, I am not sure where to go from here..
 
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Did you figure it out?
 

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