Moving Charges And Magnetism Ques 7
7. 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
[2007]
(a) $q v R^{2}$
(b) $q v R^{2} / 2$
(c) $q v R$
(d) $q v R / 2$
Show Answer
Answer:
Correct Answer: 7.(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 $T=\frac{2 \pi R}{v}]$