What is the meaning of nonpermeable in Jackson's Section 5.10?

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In Jackson's Section 5.10, "nonpermeable" refers to a medium with the same magnetic permeability as free space, indicating it has zero magnetization. This means that while there are magnetic field lines present, there are no external sources of magnetic fields (B or H) affecting the sphere. The term may seem confusing, especially for those familiar with fluid dynamics, but it accurately describes the medium's lack of magnetic influence. The discussion clarifies that the exterior region is not devoid of magnetic fields but is instead characterized by its permeability equivalent to that of free space. Understanding this definition is crucial for interpreting the context of the problem correctly.
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I'm reading Jackson Section 5.10, where he solves for a uniformly magnetized sphere "embedded in a nonpermeable medium." I'm not looking for an example, but to understand what it means. It can't mean there is no B or H field external to the sphere; in fact, Jackson has a figure showing field lines. Does it perhaps mean that there is no source of B or H external to the sphere? But if that's the case, wouldn't the exterior region be free space which has a permeability?

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The definition of magnetically non-permeable is that the material has the same magnetic permeability of free space \mu=\mu_0, and hence will have zero magnetization.
 
Thanks, I can accept that. Just seems like an odd choice of words (or maybe my many years working with fluid flow in porous media . . .)
 

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