# Vector potential and constant magnetic flux density

1. May 7, 2011

### 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=$$\forall$$$$\wedge$$A...)

2. May 7, 2011

### marcusl

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

3. May 8, 2011

### skyboarder2

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

4. May 8, 2011

### marcusl

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