The values of stray environment magnetic fields of the Uragan-2M torsatron were determined using local magnetic sensors, and also, electron beam injection in the additional toroidal magnetic field (16 coils, making up 60 to 76 % of the total toroidal field). In the stationary toroidal magnetic field, the turns of the electron beam were visualized by scanning the poloidal vacuum chamber cross-section with a luminescent rod. The measurements have made it possible to determine a decrease in the ratio of stray environment vertical magnetic fields to toroidal-coil magnetic field down to <$E b Tilde sub roman z "/" B sub roman T~symbol Ы~1~times~10 sup -3> at magnetic fields <$E B sub roman T~=~0,0225~-~0,15> T, and also, to estimate the prospect of the ratio decrease to <$E b Tilde sub roman z "/" B sub roman T~symbol Ы~1~times~10 sup -4> as the toroidal magnetic field increases up to <$E B sub roman T~symbol У~ 0,45> T.

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