Question 223: Magnetism and Matter

Question

A charge q is spread uniformly over an insulated loop of radius r.  If it is rotated with an angular velocity $\omega $ with resect to normal axis then the magnetic moment of the loop is :

Accepted Answer

Magnetic moment,
$\mu $ = I A
= ${q \over T}\left( {\pi {r^2}} \right)$
= ${q \over {2\pi /\omega }}\left( {\pi {r^2}} \right)$
= ${{qw} \over {2\pi }}$ $\left( {\pi {r^2}} \right)$
= ${1 \over 2}$ q$\omega $r
2

Answer

q $\omega $r
2

Answer

${4 \over 3}$ q $\omega $r
2

Answer

${3 \over 2}$ q $\omega $r
2

Answer

${1 \over 2}$ q $\omega $r
2

Magnetism and Matter

A charge q is spread uniformly over an insulated loop of radius r. If it is rotated with an angular velocity \omega with resect to normal axis then the magnetic moment of the loop is :

Choose the correct answer: