Calculating Magnetic Moment of Rotating Charge

[blueyellow]

Homework Statement

A particle of charge q is rotating in a circular orbit of radius r with angular velocity omega. determine the magnetic moment associated with the motion of the charge

Homework Equations

M=IS

The Attempt at a Solution

M=I*(pi*r^2)
hav no idea how to get rid of the 'I' in the equation tho. its an 8 mark question so mayb it involvs something complicated

thanks in advance

 

[supratim1]

for a rotating charged particle, current I = q.f, where, q = charge, f = frequency of rotation.

 

[supratim1]

you have r and omega, so you can find f.

 

[blueyellow]

why do i need r to find f? isn't omega just 2 pi f?

 

[supratim1]

yes right. you don't need r. so did you get the answer?

 

[blueyellow]

M=qf*(pi*r^2)
M=q(omega/2pi)*(pi*r^2)
M=q(omega/2)*(r^2)
?

 

[supratim1]

right.