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=\forall\wedgeA...)

 

[marcusl]

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

 

[skyboarder2]

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

 

[marcusl]

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