Calculating Magnetic Moment of Rotating Charge

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Homework Help Overview

The problem involves calculating the magnetic moment associated with a rotating charge, specifically a particle of charge q in a circular orbit of radius r with angular velocity omega.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between current, charge, and frequency, with one suggesting that current can be expressed as I = qf. There is also a question about the necessity of radius r in determining frequency f, given the relationship between omega and f.

Discussion Status

The discussion is active, with participants exploring different expressions for magnetic moment and clarifying the relationships between the variables involved. Some guidance has been offered regarding the use of frequency and angular velocity, but no consensus on a final approach has been reached.

Contextual Notes

Participants are navigating the complexities of the equations involved and the implications of the variables, with an emphasis on understanding the relationships rather than arriving at a definitive solution.

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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
 
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for a rotating charged particle, current I = q.f, where, q = charge, f = frequency of rotation.
 
you have r and omega, so you can find f.
 
why do i need r to find f? isn't omega just 2 pi f?
 
yes right. you don't need r. so did you get the answer?
 
M=qf*(pi*r^2)
M=q(omega/2pi)*(pi*r^2)
M=q(omega/2)*(r^2)
?
 
right.
 

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