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Physics
Moving Charges and Magnetism
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$\text{Length of loop } L = 2\pi r$
$\Rightarrow r = \frac{L}{2\pi}$
$\text{magnetic Moment } M = IA = I\pi r^2 = I \pi \frac{L^2}{4\pi^2}$
$ M = \frac{IL^2}{4\pi}$