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Current distribution across the arc plasma cross-section constructed in a narrow slot between isolating walls and other factors affecting the distribution are considered. Experimental data on current density distribution of the arc moving at subsonic velocity are analyzed. Data available on the mean current density in an arc moving at supersonic velocity and under phase transition conditions on an active surface of the walls (gas-gen erating) are summarized. Possible influence of conditions of heat transfer with walls and pressure inside the column on the extent of non-uniformity of current distribution on the arc cross-section are shown. The problems under consideration are of practical application for avoiding thermal overload of arc chambers of magnetic-blast breakers.