Vector potential and constant magnetic flux density

  • #1

Main Question or Discussion Point

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...)
 

Answers and Replies

  • #2
marcusl
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That is correct (assuming you meant to write the symbol [tex]\nabla[/tex]). Do you have a question?
 
  • #3
Nope, I just look for a method to prove it mathematically
 
  • #4
marcusl
Science Advisor
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Write out the components of [tex]\vec{\nabla} \times \vec{A}[/tex] in Cartesian coordinates.
 

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