All- Russian Electrotechnical Institute, Moscow, Russia

The results of testing of geometrized models on an example of the exact decision describing a flat non-relativistic flow from the spiral cathode on spiral trajectories are discussed. Are analyzed geometrized variant of the theory first and second approximations; the combined variant of the first approximation for trajectories and precise description in area next to cathode; a method of narrow strips with synthesis of non-parallaxes flows.