Question

Obtain an expression for the orbital magnetic moment of an electron rotating about the nucleus in an atom.

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Updated on : 2022-09-05
Solution
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Consider an electron revolving around a nucleus in an atom. Since the electron is a negatively charged particle, so atom will act as a current-carrying loop and its magnetic dipole moment is given by 
Where =current and =area of cross-section
if is the radius of orbit then
=
Sice = angular momentum
So, (in vector form), since magnetic dipole moment of the electron and angular momentum are in opposite direction.

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