Lesson plan
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 \mathbf{v} , a vector potential is a C^2 vector field \mathbf{A} such that \mathbf{v} = \nabla \times \mathbf{A}.
Article summary
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 \mathbf{v} , a vector potential is a C^2 vector field \mathbf{A} such that \mathbf{v} = \nabla \times \mathbf{A}.
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Discussion questions
- Summarise the article in your own words. Which single claim would you verify first, and why?
- Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
- If two sources disagreed about one of these facts, what would you need in order to trust one over the other?
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