The fast magnetoacoustic wave excitation by external currents in an inhomogeneous plasma cylinder is investigated. It is assumed that the wave frequency is much greater than the frequency of Coulomb electron collisions and much less than the ion cyclotron frequency. The plasma pressure is of the order of magnetic pressure. On the base of perturbation theory, the solution of Maxwell's equations is obtained taking into account the electron gyrorelaxation effect. Small-scale magnetoacoustic wave absorption is considered (the transverse wave length is much less than the plasma radius). The natural frequencies and damping rate are calculated. The case of magnetic pumping is discovered (long-wave oscillations when resonance excitation is impossible).

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