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The results of MHD plane shock waves with infinite electrical conductivityare generalized for a plasma with a finite conductivity. We derive theadiabatic curves that describe the evolution of the shocked gas as well as thechange in the entropy density. For a parallel shock (i.e., in which themagnetic field is parallel to the normal to the shock front) we find anexpression for the shock thickness which is a function of the ambient magneticfield and of the finite electrical conductivity of the plasma. We givenumerical estimates of the physical parameters for which the shock thickness isof the order of, or greater than, the mean free path of the plasma particles ina strongly magnetized plasma.Comment: 8 pages, uses standard revtex, to appear in Journal of Plasma Physic

Dependence of the magnetohydrodynamic shock thickness on the finite electrical conductivity