# Vector potential and constant magnetic flux density

by skyboarder2
Tags: density, flux, magnetic, vector potential
 P: 15 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=$$\forall$$$$\wedge$$A...)
 PF Patron Sci Advisor P: 1,998 That is correct (assuming you meant to write the symbol $$\nabla$$). Do you have a question?
 P: 15 Nope, I just look for a method to prove it mathematically
PF Patron
Write out the components of $$\vec{\nabla} \times \vec{A}$$ in Cartesian coordinates.