Vector potential and constant magnetic flux densityby skyboarder2 Tags: density, flux, magnetic, vector potential 

#1
May711, 09:07 AM

P: 15

Hi,
I would like to verify analytically that a vector potential of the form A=1/2(yB_{0},xB_{0},0) produces a constant magnetic flux density of magnitude B_{0} in the z direction. (I guess I'd have to use the relation B=[tex]\forall[/tex][tex]\wedge[/tex]A...) 



#2
May711, 11:32 AM

Sci Advisor
PF Gold
P: 2,020

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




#3
May811, 04:43 PM

P: 15

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




#4
May811, 09:59 PM

Sci Advisor
PF Gold
P: 2,020

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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