Vector potential

Mathematical concept in vector calculus

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 {\displaystyle \mathbf {v} } , a vector potential is a C 2 {\displaystyle C^{2}} vector field A {\displaystyle \mathbf {A} } such that v = ∇ × A .

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