Vector potential

In vector calculus, a vector potential is a vector field whose curl is a given vector field. This is analogous to a scalar potential, which is a scalar field whose gradient is a given vector field.
Formally, given a vector field v, a vector potential is a vector field A such that





v

=

×

A

.


{\displaystyle \mathbf {v} =\nabla \times \mathbf {A} .}

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