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NEET 2007

Exam: NEET
Year: 2007
Subject: Physics
Chapter: Magnetic Effects of Current

NEET 2007 · Physics · Magnetic Effects of Current

A charged particle (charge q ) is moving in a circle of radius R...

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:

Options

A $q v R^2$
B $q v R^2 / 2$
C $q v R$
D $q v R / 2$ .

Correct answer

D. $q v R / 2$ .

Step-by-step solution

Magnetic moment

\mu=I A

Since

T=\frac{2 \pi R}{v}

also

I=\frac{q}{T}=\frac{q v}{2 \pi R}

\begin{aligned} \therefore \quad \mu & =\left(\frac{q v}{2 \pi R}\right)\left(\pi R^2\right) \\ & =\frac{q v R}{2} \end{aligned}

$$

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