(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A long cylinder of radius R carries a magnetization [tex]\vec{M}=Ks^{2}\hat{\phi}[/tex] where k is a constant, s is the distance from the axis, and [tex]\hat{\phi}[/tex] is the usual azimuthal unit vector. Find the magnetic field due to [tex]\vec{M}[/tex] for points inside and outside the cylinder.

2. Relevant equations

[tex]\vec{J}_{b}=\nabla\times\vec{M}[/tex]

[tex]\vec{K}_{b}=\vec{M}\times\hat{n}[/tex]

Formula for the Vector potential That I can't seem to get to work in tex

3. The attempt at a solution

[tex]\vec{J}_{b}=3k\sqrt{x^{2}+y^{2}}\hat{z}[/tex]

[tex]\vec{K}_{b}=3k(x^{2}+y^{2})\hat{z}[/tex]

Truthfully my biggest annoyance right now is formulating the separation vector (I know I'm lame) then a little plug and chug and I'm done but I wouldn't mind someone checking my work (probably wrong...)

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# Homework Help: Griffith's Electrodynamics 6.8

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