[en] Equilibrium is studied of axially symmetrical toroidal plasma filament with current along it inside of a finite conductivity casing, in the presence of a magnetic field produced by outer conductors. Solution is obtained by numerical integration of temporal equations of magnetic hydrodynamics. Equilibrium states in a sufficiently wide range of a plasma pressure variation are derived, and effects of the intensity and shape of outer confining field on plasma equilibrium are investigated. Formation of the plasma filament cross-section by outer magnetic fields is discussed