If you can, do a test and run of your laptop battery for a while. If the static disappears than I believe you have a ground loop problem.
There is a easy and cheap fix for this. All you need is to spend a few £££'s and buy a Ground loop Isolator.
Ground loop Isolator.jpg
There are a few different designs for the Isolator but basically they all do the same sort of thing.
I would try this first.
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