Abstract
The circular Hall plate with four equal finite line contacts, lying symmetrically in respect of two orthogonal axes, is considered. Analytical expressions for the Hall voltage and the Hall mobility in which the finiteness of the contacts and the magnetic field are taken into account, are obtained by applying Schwarz-Christoffel transformations. It is shown that the numerical calculations involved can be reduced to those of regular definite integrals. Furthermore, in the case of not too large contacts, a simple approximative formula has been derived for the product μ H B of Hall mobility and magnetic induction. It is given in a form directly suited to practical applications.
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