Hi DTACS,
I'll bet a dollar it's your dirty ThermalTake case, I'm afraid to say. (Every ThermalTake case I've owned and worked on in the last decade has had shiate for mic/headphone connectors on top)
You need to plug your headphones into the back of the PC and see if it makes the same noise.
If it doesn't, you need to open up the case and first try to reconnect the headphone cable in to the pins.
If that doesn't change the impendance of the cabling and frequency that is causing the interference, then you might have a shitty on board sound card. Which means you're hosed.
If it does, you should go buy a cheap heapdhone extender cable, and use the rear jack. That is the cheapest, surest and easiest solution.
Here is the expensive, uncertain, and difficult solution:
First, reseat every component in your case. THis is sometimes enoguh to change the frequency of whatever is interfering with your sound chip subassembly on your mobo.
You need to stop the electrical leakage from entering the sound chip... by using insulation. Something like silicon aquarium sealant.
"hi-temp" Automotive silicone sealers... In general the class is callled silicone RTV, and you want the acetic acid free version so you don't eat through your coil with acid as it cures. I have no idea what the brand names are in Australia, but big multinationals like Dow Corning make this...
The dirty part is, you don't know what subpart on the motherboard is causing the electrical interference, so it's a gamble. Start here, there, start on coils, eventually you'll find the culprit.
In the end you'll figure it out and have zero coil whine... but it's a hassle.
Here is one of the first internet conversations on the topic:
SPCR • View topic - Eliminating PSU coil whine using silicone - need HELP!
So as I was saying, go find a cheap headphone extension cable and use that. places like meritline.com will parcel post ship it direct from Hong Kong, cheap cheap.