In this paper, an attempt is made to clarify some general aspects of the Al
fven current drive problem for magnetic traps. For large aspect ratio tokam
aks, with an elongated cross-section, some general formulas concerning the
untrapped particles dynamics and their input to the Landau damping of the A
lfven waves are presented. They are supposed to be used for the further dev
elopment of the Alfven current drive theory for tokamaks.