The Divergence The divergence of a vector field in rectangular coordinates is defined as the scalar product of the del operator and the function The divergence is a scalar function of a vector field. The divergence theorem is an important mathematical tool in electricity and magnetism. Applications of divergenceDivergence in other coordinate systems 
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Applications of Divergence The divergence of a vector field is proportional to the density of point sources of the field. In Gauss' law for the electric field the divergence gives the density of point charges. In Gauss' law for the magnetic field the zero value for the divergence implies that there are no point sources of magnetic field. 
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Divergence, Various Coordinates Compared to the divergence in rectangular coordinates: 
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