Vector potential and constant magnetic flux density

skyboarder2

Hi,

I would like to verify analytically that a vector potential of the form A=1/2(-yB₀,xB₀,0) produces a constant magnetic flux density of magnitude B₀ in the z direction.
(I guess I'd have to use the relation B=[tex]\forall[/tex][tex]\wedge[/tex]A...)

marcusl

That is correct (assuming you meant to write the symbol [tex]\nabla[/tex]). Do you have a question?

skyboarder2

Nope, I just look for a method to prove it mathematically

marcusl

Write out the components of [tex]\vec{\nabla} \times \vec{A}[/tex] in Cartesian coordinates.