Most likely, there is a difference in the resistance of the ground paths of the two TVs. To test for this, get a set of long extension cords and plug both in to the same electrical outlet and then run each extension cord to each TV, so that they are both on the same circuit. Make sure all related equipment at both locations are connected to the extension cord via a power strip, etc.
If that test clears up the problem, you have a problem with grounding on your electrical lines and your component cables can be acting as a lower resistance ground path for one of your electrical outlets. That's a very dangerous condition. In that case, get one of those outlet testers at Home Depot for a couple bucks that just plugs right in to the electrical outlet. It will tell you if something is up with the outlet. Other than that, you might need an electrician.