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Magnetic Dipole Moment of a Revolving Charge
Concepts tested here
- Magnetic moment of a circulating charge
All Questions
2007 AIPMT-PRE 1 question
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A charged particle (charge $q$) is moving in a circle of radius $R$ with uniform speed $v$. The associated magnetic moment $\mu$ is given byA charge moving in a circle is equivalent to a current loop.
Time period of revolution: $T = \dfrac{2\pi R}{v}$
Equivalent current: $I = \dfrac{q}{T} = \dfrac{qv}{2\pi R}$
Magnetic moment: $\mu = IA$, with area $A = \pi R^2$
$\mu = \dfrac{qv}{2\pi R}(\pi R^2)$
$\mu = \dfrac{qvR}{2}$