What is Vector potential: Definition and 183 Discussions

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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  1. B

    Magnetic Vector Potential Drawing

    Why is it that I can't find a drawing on the internet of what the magnetic vector potential looks like around a current carrying wire?
  2. Peeter

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  4. L

    How Does the Magnetic Vector Potential Change with Infinite Wire Length?

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    What is the Surface Current and Magnetic Field for a Rotating Charged Disc?

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  6. J

    Integral formula for vector potential

    http://en.wikipedia.org/wiki/Vector_potential The Wikipedia article is mentioning an interesting formula for defining vector potentials. Isn't that the same thing as a formula \nabla\times\int d^3y\;(V(y)\times\nabla)\frac{1}{\|x-y\|} = -4\pi V(x), where V:\mathbb{R}^3\to\mathbb{R}^3 is...
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  12. E

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  19. S

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  21. K

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  22. K

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  23. K

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  30. S

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  31. S

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  32. S

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  33. G

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