My Book encrypted files

I too am in a situation where I am trying to recover the data on my 3TB mybook live.  I pulled the drive from the case and connected it to a SATA-USB adaptor cable, but the SATA light on the adaptor would not light. Upon powering up with the adaptor, the drive spins for a couple of minutes then powers down on it’s own.  It did the same in the case.

Does the adaptor not “see” the drive (noted by it’s SATA light) because the data is encripted?  I actually have another mybook live new in the box; I COULD put the drive into that new case, but I am not enthusiastic about taking apart a brand new unit!