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define a vector potential on a region of space strictly outside the z-axis, such that A(x) magnetic dipole field is independent of z, gives a vanishing magnetic field, and cannot be gauge transformed to zero. what a physical interpretation.?

define a vector potential on a region of space strictly outside the z-axis, such that A(x) magnetic dipole field is independent of z, gives a vanishing magnetic field, and cannot be gauge transformed to zero. what a physical interpretation.?

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