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Gauss's Law for Magnetism

$\nabla \cdot \mathbf {B} =0$

Integral form: $\unicode{x222F}\,{\mathbf {B}}\cdot {\mathrm {d}}{\mathbf {A}}=0$ the net flux of the magnetic field out of a closed surface is zero

Differential form: $\nabla \cdot \mathbf {B} =0$ magnetic field has zero divergence.

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