How does the magnetization of an atom change at its center?

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Homework Help Overview

The discussion revolves around the magnetization of an atom, specifically examining the magnetization at the center of an atom using a coaxial cable model filled with magnetic material. The original poster presents a formula for magnetization and seeks to understand its behavior at the center.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants explore the implications of the magnetization formula, questioning its applicability at the center of the atom and the significance of the parameters involved, particularly the current represented by 'I'.

Discussion Status

The discussion is ongoing, with participants raising questions about the limitations of the formula and the conditions under which it can be applied. Some guidance has been offered regarding the need to consider the range of 'r' and the specific current in the formula.

Contextual Notes

There is a noted uncertainty regarding the interpretation of the parameters in the magnetization formula, particularly the meaning of 'I' and the relevance of the atom's radius in the context of the problem.

Lord33
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Homework Statement


We have coaxial cabel with radius R and R0=3R filled with magnetic.Magnetization J(r)=(r3-R3)/(2R3)*I/(2*pi*r).What is the magnitization if r=0(center of atom)?And what a magnetization direction of atom?

Homework Equations

The Attempt at a Solution


I think what magnitization in center of atom = -inf , but it is wrong.
 
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The formula for the magnetization works in a limited range (for r) only. Can you find that range?
You can modify the formula a bit to make it applicable at r=0.
 
I understand what we must take radius of atom but how i can modified a formula if r<ra?I find limit and get -inf it is wrong.I know that J=∑P/ΔV.
 
You don't need the radius of an atom.

Your formula has an I in it. What is that? A current, sure, but a current of what? Every cable in the universe? Which current exactly do you have to consider in that formula, and is it the same current for every place?
 

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