Calculating Magnetic Field from Spin Alignment Energy Difference

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SUMMARY

The discussion focuses on calculating the magnetic field strength (B) from the energy difference between parallel and antiparallel spin alignments of an electron in a magnetic field. The energy difference provided is 4.50 x 10-25 J. Using the formula B = energy / (μB), where μB is the Bohr magneton (9.27 x 10-24 J/T), the calculated magnetic field is 0.0485 T or 48.5 mT. The user expresses confusion regarding the correctness of this result, questioning if the energy difference is the source of the issue.

PREREQUISITES
  • Understanding of quantum mechanics, specifically electron spin and magnetic moments.
  • Familiarity with the Bohr magneton (μB) and its significance in magnetic field calculations.
  • Knowledge of basic electromagnetic theory, particularly the relationship between energy and magnetic fields.
  • Proficiency in algebraic manipulation of physical formulas.
NEXT STEPS
  • Review the concept of the Bohr magneton and its application in magnetic field calculations.
  • Study the principles of electron spin and its alignment in magnetic fields.
  • Explore advanced topics in quantum mechanics related to magnetic interactions.
  • Investigate common pitfalls in calculating magnetic fields from energy differences.
USEFUL FOR

Students and professionals in physics, particularly those specializing in quantum mechanics, electromagnetism, and materials science, will benefit from this discussion.

tigert2004
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An electron is placed in a magnetic field B that is directed along a z axis. The energy difference between parallel and antiparallel alignments of the z component of the electron's spin magnetic moment with B is 4.50 10-25 J. What is the magnitude of B?

energy=Beh/4pim 4.5e-25 = B (1.6e-19)(6.626e-34)/ 4pi 9.109e-31

B=4.5e-25/9.27e-24

B=.0485 T
B =48.5 mT

But this seems to be wrong?
 
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I have also tried -48.5mT but that is wrong also
 
Is it because the problem is giving youthe energy difference between the two alignments?
 

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