We consider MHD models of equilibrium configurations in magnetic traps with conductors immersed in the plasma. Plasma- static models are presented in terms of boundary problems with the Grad ? Shafranov equation. The plasma-dynamic ones describe time-dependent relaxation process that forms configurations. It is shown, that strongly equilibrium configurations with conductors insulated from plasma do not exist. They can be seen only in a quasi-equilibrium regime after a short-term increase of the electric current in the conductors. Some examples of computations in the both models are presented.
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