Vector potential and constant magnetic flux density

  1. 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...)
     
  2. jcsd
  3. marcusl

    marcusl 2,112
    Science Advisor
    Gold Member

    That is correct (assuming you meant to write the symbol [tex]\nabla[/tex]). Do you have a question?
     
  4. Nope, I just look for a method to prove it mathematically
     
  5. marcusl

    marcusl 2,112
    Science Advisor
    Gold Member

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