Hello Rex, welcome to the forum!
What you need to do now is some organized troubleshooting.
- have you checked the input switches on the speakers, perhaps the left one is now on "line" and just picks up some noise that keeps it turned on?
- swap the speaker cables at the Beosound end, does the problem move?
- swap the speaker cables at the speaker end (or swap the speakers themselves, if you have the cables built into something or otherwise difficult to relocate), what happens now?
- finally, flick the input switches on both speakers to the "other" position, ie. L to R and R to L and see if anything changes
This should give us some insight whether the problem resides in the Beosound, the cables or the speakers. It might be just a damaged powerlink cable or connector.
It's a good idea to unplug all three units from mains while altering the connections.