= Magnetic scalar potential
{title2=$\mathbf B=-\nabla\psi$}
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In a simply connected current-free region of constant <magnetic permeability>, <Ampère's circuital law> makes the <magnetic field> curl-free, so it admits a scalar potential. The absence of magnetic monopoles then gives <Laplace's equation> for that potential. Some conventions define the potential for $\mathbf H$ instead of $\mathbf B$, differing by the constant permeability. Boundary conditions, including imposed fields at infinity, determine the potential up to an additive constant.
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