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I have a magnetic field component of the form $B_{\phi} = z \, \sin ^4 (r/a) \, r/a$, and $B_z = b$, I need to evaluate magnetic vector potentials. As we know, $B = \nabla \times A$. How to solve this?

Would you please help me in this regard.

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Do you know the expression of `curl' in polar coordinates? – Fabian Mar 11 '12 at 20:53
If this is homework, please add the homework tag. One possible way to approach this would be by using the magnetic field to determine the current density, and then using that to determine the vector potential. This question might be a better fit for physics.SE. BTW, is this field divergenceless? This is required for a physically real field and is also required for a lot of the mathematical machinery to work. It's not obvious to me that it is divergenceless. – Ben Crowell Mar 11 '12 at 21:06
This is not a homework, I was trying to introduce vector potential in my MHD simulation. Yes, the field is divergenceless. I need the expressions in terms of magnetic field. – sknandi Mar 11 '12 at 22:08

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