Three distinct numerical methods are developed and evaluated for predi
cting the transverse Hall currents in long composite cryogenic conduct
ors. These methods are applied to three different conductor geometries
; a double-strip, a square-jacketed and a round-jacketed conductor. Th
e double-strip geometry is used as a simple example to illustrate the
Hall effect in composite conductors and to compare results from the th
ree calculational methods. Earlier experimental results on the anomalo
us magnetoresistance of square-jacketed Al-Al alloy composite conducto
rs are reanalysed using the present accurate numerical approaches. Imp
roved agreement is obtained between experiment and theory compared wit
h the earlier simplified models. Calculations and experimental data ar
e shown for cases where the applied magnetic field is oriented at an a
ngle with respect to the conductor. The calculated resistance variatio
n with angle is shown to have the same form as the measured data. Good
agreement is also obtained between the predictions of the closed-form
analytical formulae of Kaneko and Yangai and the present finite eleme
nt calculations for the Hall currents in AI-Cu round-jacketed composit
e conductors.