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the magnetic moment vectors nbsp mu s and nbsp m...

Question:
The magnetic moment vectors μ_s and μ_l associated with the intrinsic spin angular momentum S and orbital angular momentum l, respectively, of an electron are predicted by quantum theory (and verified experimentally to a high accuracy) to be given by:

μ_s= -(e/m) S,

μ_l= -(e/2m)l

Which of these relations is in accordance with the result expected classically?

Outline the derivation of the classical result.

Answer:

The magnetic moment associated with the orbital angular momentum is valid with the classical mechanics.

The magnetic moment associated with the orbital angular momentum is given as

For current i and area of cross-section A, we have the relation:

Magnetic moment

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