The propagation of a plane shock wave of constant intensity over a powder m
etallic medium in the presence of a magnetic field is considered. The compr
ession of the magnetic field by a shock-induced conducting wave in the medi
um is studied in detail. It is assumed that the magnitude of the macroscopi
c electric conduction increases monotonically from zero to its maximum and
is constant behind the shock-wave front. The problem of determining the mag
netic field is solved under the assumption that the characteristic time of
field variation is much greater than the time required for convection and d
iffusion through the front. The dependence of the magnetic field on the coo
rdinate and the time inside the shock-wave front is established.