Short webpage title: Calculating Moments of Inertia and Magnetic Moment

AI Thread Summary
The discussion focuses on calculating the moments of inertia (Ix, Iy, Iz) for a flat circular coil located in the x-y plane. The participants seek formulas for Iz, Ix, and Iy, specifically for a coil with n windings and radius r, centered at (0,0). Additionally, they explore the magnetic moment (μ) of the coil when a current (I) flows through it. The conversation highlights the need for clarity in defining the mass moment of inertia for a ring and the magnetic moment for a current loop. Overall, the thread emphasizes the relationship between physical properties of the coil and their mathematical representations.
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Homework Statement


For any flat object, located in the x-y plan applies to the equation:
Ix+Iy=Iz

where Ix,Iy,Iz is the moments of inertia about the x-axis, y-axis and z-axis.
A flat circular coil has n windings and radius r. The mass of the coil is m. The coil is located in the x-y plan centered on (0,0). The coil moment of inertia about the z-axis is called Iz

a) Give a formula of Iz. Also specify a formula for Ix and Iy.

The coil has one turn. The current in the coil is I.
b) Give the magnetic moment μ of the coil.

The Attempt at a Solution



a+b) I am thinking of using the definition of the magnetic moment of a current loop, but i can't get further, can someone help please?
 
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Kind of a strange question since it asks two completely different questions:

a) Do you know formula for the mass moment of inertia for a ring?

b) Yes, simply use the definition for a magnetic moment of a coil.
 
[
a) Do you know formula for the mass moment of inertia for a ring?

Is it K= rootof(Ic/m)?
 
No, it's Iz we're after.
 

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