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Question

Physics Question on Moving charges and magnetism

A non conducting disc of radius R, charge q is rotating about an axis passing through its centre and perpendicular to its plane with an angular velocity ω\omega chaise q iS uniformly distributed over its surface. The magnetic moment of the disc is

A

14qωR2\frac{1}{4}q\omega R^2

B

12qωR\frac{1}{2}q\omega R

C

qωRq\omega R

D

12qωR2\frac{1}{2}q\omega R^2

Answer

14qωR2\frac{1}{4}q\omega R^2

Explanation

Solution

M=(Iω)q2mM=(I\omega )\frac{q}{2m}