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GoliathPSU
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Homework Statement
A long straight wire of circular cross section with radius R carries current I and is immersed
in a large volume of water. The wire is non-magnetic. Calculate the magnetization M(r) in
the water which has a susceptibility χm. What is the bound current density Jb(r) for s > R. Calculate the total current (free plus bound).
Homework Equations
H = [itex]\frac{1}{\mu0}[/itex]B - M
[itex]\oint[/itex]B [itex]\bullet[/itex] dl = [itex]\mu[/itex]0Ienc
[itex]\oint[/itex]H [itex]\bullet[/itex] dl = If, enc
M = [itex]\chi[/itex]mH
Jb = ∇ × M
The Attempt at a Solution
This is how I am thinking about it... the magnetization in the water arises from the current (and resultant B-field) carried by the wire, so I feel like I should calculate the B-field cause by the wire with Ampere's law but then I am unsure of how to use that to find the magnetization in the water.