S is the surface of a lump of magnetic material.
(a) Lines of B are necessarily continuous across S.
(b) Some lines of B must be discontinuous across S.
(c) Lines of H are necessarily continuous across S.
(d) Lines of H cannot all be continuous across S.
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Explanation:
Outside the lump of magnetic material, H=B/μ0 and inside the lump of magnetic material, H=B/μ0μr where μr is the relative permeability of material. ... Thus the lines of H cannot all be continuous across surface S.
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