Abstract
Hall plates with four equal edge contacts of nonzero lengths, which are invariant for a rotation through 90°, are considered. Analytical formulas for Hall voltage and the Hall mobility, in which the finiteness of the contacts and the magnetic field are taken into account, have been obtained. The numerical calculations involved can be reduced to those of regular integrals. In addition, for a number of symmetrical shapes of Hall plates simple approximations have been derived for the product μB of Hall mobility and magnetic induction. The maximum length is calculated of each contact, for which these approximations are accurate to within 0.5% compared to exact solutions. Numerical data are tabulated in a directly applicable form.
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