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Magnetic Why is the tangential component of the magnetic field and permeabilitychanges?

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Why does onlyHow can we prove the parallelboundary conditions of the magnetic field $\vec{B}$ that the tangential component of the magnetic field changes when magnetic field lines travel from one medium to another like from vacuum to iron?

Why does only the parallel component of the magnetic field changes when magnetic field lines travel from one medium to another like from vacuum to iron?

How can we prove the boundary conditions of the magnetic field $\vec{B}$ that the tangential component of the magnetic field changes when magnetic field lines travel from one medium to another?

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