Magnetic-field jump across a surface current
= Magnetic-field jump across a surface current
For a surface current density $\mathbf K$ on an interface with unit normal $\mathbf n$, <Ampère's law> gives
$$
\mathbf n\times(\mathbf B_+-\mathbf B_-)=\frac{4\pi}{c}\mathbf K
$$
in Gaussian units, or $\mu_0\mathbf K$ in SI units.