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5.Magnetism and Matter
medium
A charged particle (charge $q$) is moving in a circle of radius $R$ with uniform speed $v.$ The associated magnetic moment $\mu $ is given by
A
$qv{R^2}$
B
$\frac{{qv{R^2}}}{2}$
C
$qvR$
D
$\frac{{qv{\rm{R}}}}{2}$
(AIPMT-2007)
Solution
Magnetic moment $\mu=I A$
since $T=\frac{2 \pi R}{v}$ Also, $I=\frac{q}{T}=\frac{q v}{2 \pi R}$
$\therefore \quad \mu=\left(\frac{q v}{2 \pi R}\right)\left(\pi R^{2}\right)=\frac{q v R}{2}$
Standard 12
Physics
