Question

Obtain an expression for magnetic moment of an orbital electron

Answer 1

$I=\frac{e}{T}$
$V=\frac{2\pi r}{T}$
$T=\frac{2\pi r}{V}$
$I=\frac{e}{\frac{2\pi r}{V}}=\frac{eV}{2\pi r}$
magnetic moment $\left(\mu \right)=IA$
$\overrightarrow{\mu }=\frac{eV}{2\pi r}\times \pi r^2$
$\mu =\frac{eVr}{2}$