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Vector potential and constant magnetic flux density

by skyboarder2
Tags: density, flux, magnetic, vector potential
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skyboarder2
#1
May7-11, 09:07 AM
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=[tex]\forall[/tex][tex]\wedge[/tex]A...)
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marcusl
#2
May7-11, 11:32 AM
Sci Advisor
PF Gold
P: 2,056
That is correct (assuming you meant to write the symbol [tex]\nabla[/tex]). Do you have a question?
skyboarder2
#3
May8-11, 04:43 PM
P: 15
Nope, I just look for a method to prove it mathematically

marcusl
#4
May8-11, 09:59 PM
Sci Advisor
PF Gold
P: 2,056
Vector potential and constant magnetic flux density

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


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