In a one-dimensional weak-link wire the spin-orbit interaction (SOI) alone
cannot generate a nonzero spin current. On the other hand, it affects
significantly the Josephson current between two superconductors. In the
normal state, we show that a Zeeman field acting in the wire in conjunction
with the Rashba SOI there yields a spin-polarized current, whose magnitude
and direction depend on the direction of the field. When this field is not
parallel to the effective field due to the SOI, both the charge and the
spin currents oscillate with the length of the wire. Measuring the
oscillating anisotropic magnetoresistance can thus yield information on the
SOI strength. These features are tuned by applying a magnetic and/or an
electric field.