I agree with Scott, Ron, Dale, and Bob. I don't like the idea of using the light socket as an outlet for many reasons, grounding being a big one, accidentally ripping the fixture out of the ceiling being another. Maybe someone with more knowledge than I can weigh in with some real information, but I didn't think that a light socket was designed to pull a lot of current through it. A computer, speakers, and monitor shouldn't be drawing 15 amps or anything, but still.
If the outlet in the living room is on the outside of the closet wall, it would be easy enough to put an outlet in the closet, or turn the existing one around. I realize you may not want to do that work yourself, and electricians don't come cheap. So, I'm not sure what the best solution is for you. Sorry, just wanted to reinforce what others have said so far. -- Blue skies. Dan Rossi Carnegie Mellon University. E-Mail: d...@andrew.cmu.edu Tel: (412) 268-9081