Abstract
The low magnetic field Hall resistance resulting from a circular inhomogeneous magnetic field profile situated in the cross junction of a Hall bar is calculated. Models for the magnetic field profile resulting from: (1) a superconducting dot, (2) a magnetic dipole, and (3) a magnetic vortex are considered. We find that the inhomogeneous nature of the magnetic field influences the Hall resistance drastically. In particular, in the low field regime the Hall resistance is completely determined by the average magnetic field in the cross junction of the Hall bar.
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