I'm almost positive this noise is the result of the GPU driver. Uninstalling the driver caused the sound to disappear and nearly immediately after reinstalling the sound returned. The static sound is most noticeable while opening a process or performing tasks, especially when I move my mouse or use my scroll wheel. Even when mostly idle the sound persists as a sort of ticking noise. Kinda sounds like an old mechanical hard drive almost (maybe not as intense), except of course my system has no moving parts other than fans and this doesn't sound like it's coming from the fans. Haven't had any stability issues or crashes yet, but the sound can get annoying after awhile.
System:
Ryzen 3700x
Gigabyte 5700 XT Gaming OC
MSI B450 Gaming Pro Carbon AC
750 W Corsair PSU