Question

 Derive an expression for the magnetic moment associated with orbital motion of an electron in an atom.

19 Jan 2026
Answer :
Word Count : 262
Consider an electron of charge −e and mass m moving in a circular orbit of radius r with constant speed v around the nucleus. Due to this orbital motion, the electron constitutes a current loop. The current I associated with the orbital motion is equal to the charge passing a given point per unit time. The time period of revolution is T = 2πr / v. Hence the current is I = e / T = ev / (2πr). The magnetic moment μ associated with a current loop is given by the product of current and the area of the
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