We study the dynamics of a magnetically trapped Bose-Einstein condensate in
the presence of an external electromagnetic-field coupling trapped, untrap
ped, and antitrapped Zeeman sublevels. For large condensates an approximate
analytical solution of the coupled Gross-Pitaevskii equations is given in
the regime of strong outcoupling. The theory is developed for the cases of
rf outcoupling within a hyperfine manifold of states, microwave outcoupling
connecting states in two different hyperfine manifolds, and Raman outcoupl
ing. [S1080-2947(99)06207-1].