A solenoidal vector field satisfies del ·B = 0 for every vector B, where del ·B is the divergence. If this condition is satisfied, there exists a vector A, known as the vector potential, such that B congruent del xA, where del xA is the curl. This follows from the vector identity del ·B = del ·( del xA) = 0. If A is an irrotational field, then Axr is solenoidal.
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