Vector Potential: Finding the Vector Potential of a Long Wire

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To find the vector potential of a long wire, the magnetic field is given as B = (μI)/(2πr), indicating it has only an azimuthal component. The vector potential A must therefore have radial and axial components to generate this magnetic field. The relationship between the magnetic field and vector potential is expressed through the equation B = ∇ × A. Understanding this relationship is crucial for determining the vector potential in this scenario. The discussion highlights the importance of the wire's geometry in defining the components of the vector potential.
germx
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Hello all. I am hoping someone could lend a hand. I need to determine the vector potential of a long wire. I am given the B-field = (\muI)/(2\pir) and I know at some point I will need to use \nabla X A. Thanks in advance.
 
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What's the equation of \bar{B} in terms of \bar{A}?

The magnetic field runs in rings around the conductor, so it only an azimuthal component.
This tells you that the A field generating B will be limited to radial and axial components.
 
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