I've had this problem before, as others have said it's a grounding issue.
It turns out computer motherboards can be an absolute rat's nest of ground issues - all the processors/chipsets/controllers/magical gubbins on the board dump digital switching noise to ground at frequencies in the mega and gigahertz as they switch between different power states depending on what task is asked of them.
In principle all that noise should travel along the ground path through the computer's PSU, down the kettle lead and safely to earth.
However, if there are other, easier paths available,the noise will go along them instead. In my case, it found it easier to go through my PCI firewire expansion card and along the firewire cable to my RME800 (RME is not having a good showing in this thread) where it then travelled to my speakers via my desk and gave me digital clickng, whining, and general future noises whenever I moved a mouse or the screen re-drew itself.
The problem was that my computer's case was powder coated a sexy black, including inside the screw holes for the motherboard standoffs. So the only ground path to the PSU was through the power cable (I did some probing with a MM).
The fix wasn't too difficult - I used a pen knife to scrape off the powder coating in the MB standoff holes and along the edge of the case where the PCI firewire card's faceplate touched the case. That took the ground noise from about -80dBfs as per RME's totalmix input meters (the ground noise was getting to the input jacks even with nothing plugged in!) to -106dB, which is low enough that it's a non issue.
Of course, the exact source and cause of the noise will vary by computer because different motherboards have different layouts, but if the noise is coming through your 9632 it's probably safe to say that if the switching noise had a better path to ground than through the cables you've plugged into it, it'd take that path instead.