Moving Charges and Magnetism - Result Question 13
13. A charged paritcle (charge $q$ ) is moving in a circle of radius $R$ with uniform speed $v$. The associated magnetic moment $\mu$ is given by
(a) $q v R^{2}$
(b) $q v R^{2} / 2$
(c) $q v R$
(d) $q v R / 2$
[2007]
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Answer:
Correct Answer: 13. (d)
Solution:
- (d) Magnetic moment, $m=I A$
$=\frac{q v}{2 \pi R}(\pi R^{2})=\frac{q v R}{2}$
$[\because I=\frac{q}{T}.$ and $.T=\frac{2 \pi R}{v}]$
