Short webpage title: Calculating Moments of Inertia and Magnetic Moment

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Homework Help Overview

The discussion revolves around calculating moments of inertia and magnetic moments for a flat circular coil located in the x-y plane. The original poster presents a problem involving the moments of inertia (Ix, Iy, Iz) and the magnetic moment (μ) of the coil, seeking assistance with deriving the relevant formulas.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants explore the formulas for moments of inertia specific to a ring and discuss the magnetic moment of a coil. There are attempts to clarify the definitions and relationships between the different moments of inertia.

Discussion Status

Some participants have provided insights into the formulas for mass moments of inertia and the magnetic moment, while others are questioning the specific requirements of the problem and the definitions involved. The discussion is ongoing with various interpretations being explored.

Contextual Notes

The original poster is attempting to connect two different aspects of the problem, which may lead to confusion regarding the distinct formulas needed for each part. There is also a mention of the coil having one turn, which may influence the calculations discussed.

besnik93
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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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