[en] Achemes of magnetron, inverse-magnetron and magneto-discharge mass-spectrometers the sensitivity of which is 10³-10⁴ times higher than in existing devices are analysed. Current increase is achieved by using converting, cylindric beams between two coaxial cylinders for analysis. Theoretically considered are conditions for cutting-off the effect of inhomogeneity of the magnetic field that affect the resolution value in inverse-magnetron mass-spectrometers, as well as the distribution of charge density and electric field in magnetic discharge mass spectrometrs. The maximum application of high-current mass-spectrometers can be found in vacuum technology and as portable gas analyzers