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Question 25

The magnetic moment vectors μs and μl 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:

μs= -(e/m) S,

μl= -(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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