We have studied the effects of longitudinal currents and torsion on the magnetization process of positive, negative and nearly-zero magnetostrictive Co-, and Fe-based amorphous wires. In the presence of a dc current flowing through the wire we observe a shift in the bi-stable magnetic response which is dependent on the sign of the magnetostriction. The well known bistable magnetic switching character is also observed in our Inverse-Wiedmann-Effect, IWE, studies of these wires. The importance of the sign of the magnetostriction on the observed IWE-response studies are also presented. © 1990 IEEE