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At the interface between two magnetic media with no surface current, the continuous quantity is

  • A.the normal component of \( \mathbf{B} \)
  • B.the normal component of \( \mathbf{H} \)
  • C.both components of \( \mathbf{B} \)
  • D.neither component of either field

Answer: A

Correct answer: the normal component of \( \mathbf{B} \)

This follows directly from \( \nabla\cdot\mathbf{B}=0 \), which admits no magnetic sources anywhere, so no flux can accumulate at a surface and the normal component must pass through unchanged. The normal component of \( \mathbf{H} \) is *not* continuous, since \( B_n = \mu H_n \) and the permeabilities differ - which is what causes flux lines to bend at the interface.

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