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Q. Relation between magnetic moment and angular velocity is

AIIMSAIIMS 2013Moving Charges and Magnetism

Solution:

Magnetic moment,
$M = IA = I\left(\pi r^{2}\right) = \frac{q}{T}\times\pi r^{2}$
$\left(\because q = It\right).$
As $\omega=\frac{2\pi}{T}$
$\therefore M = \frac{q\omega r^{2}}{2}$
or $M \propto \omega$