Question

An electron in the ground state of Hydrogen atom is revolving in a circular orbit of radius R. Obtain the expression for the orbital magnetic moment of the electron.

Answer 1

Let the velocity of electron is $v$ and the charge of electron is $e$.

The magnetic moment of the electron is given as,

$M=i\times A$

$M=e\times f\times \left(\pi R^2\right)$

$M=e\times \left(\frac{v}{2\pi R}\right)\times \left(\pi R^2\right)$

$M=\left(\frac{evR}{2}\right)$