Electromagnetism | Part IB, 2004

Write down the two Maxwell equations that govern steady magnetic fields. Show that the boundary conditions satisfied by the magnetic field on either side of a sheet carrying a surface current of density s\mathbf{s}, with normal n\mathbf{n} to the sheet, are

n×B+n×B=μ0s\mathbf{n} \times \mathbf{B}_{+}-\mathbf{n} \times \mathbf{B}_{-}=\mu_{0} \mathbf{s}

Write down the force per unit area on the surface current.

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