Geometrical Effects in Transverse Magnetoresistance Measurements

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Abstract
The effect of finite length-to-width ratio and of probe positions on measurements of resistivity in a transverse magnetic field is investigated for various Hall angles. It has been shown by Wick that the Hall effect causes an increase in the resistance between the end contacts of a rectangular specimen. In this paper, Wick's method is extended to include the case of measurements made between probes symmetrically placed at various distances from the ends. It is shown that the ‘ Hall resistance ’ is negligible when the probes are placed at a distance from the ends greater than the width of the specimen. Graphs are included which give the fractional change of resistance for various probe positions and Hall angles for specimens of any length-to-width ratio greater than two.

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