Theoretical analysis and computer simulation of the magnetic field (or
current) penetration into the plasma in the Z-pinch or in the plasma
diode was performed for plasma parameters corresponding to the validit
y range of the electron magnetohydrodynamics. Although the field-trans
fer processes are known to be nontrivial in the framework of electron
magnetohydrodynamics, in many cases, they can be simulated using a mod
ified magnetic-field diffusion coefficient. Some variants of such a mo
dification are discussed.