Definition:Vector Potential

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Definition

Let $R$ be a region of ordinary space.

Let $\mathbf V$ be a vector field over $R$.

Let $\mathbf V$ be both rotational and solenoidal.


Let $\mathbf A$ be a vector field such that $\mathbf V = \curl \mathbf A$.


Then $\mathbf A$ is known as the vector potential of $\mathbf V$.


Sources