In Shadow Rising, Chp 46, Elayne and Nynaeve were really excited and acted like they were under some kind of charm spell when Moghedien came. What kind of spell was that? It seems really easy for the Forsaken.
It was Compulsion. There are many examples later in the series of the Forsaken using it, and even some of the good guys. Graendal and Ishamael use it a lot.
The weave is called Compulsion. However, it would be inaccurate to call Compulsion a "charm spell". It's actually much closer to hypnosis. In and of itself, it doesn't influence the subject's disposition all that much, other than to induce a willingness to co-operate. As you will notice in the passage in question, the girls were unquestioningly obedient, but didn't become enamoured with there interrogator until instructed to feel that way.