How come my wireless card isn't picking up anything when my graphics card is installed?

Everytime my geforce 7600gt is physically in the computer, I get no wireless signals. I can even disable the driver itself and still nothing. I've gone into the system and device manager to see if they have the same IRQ, and they're different. I can take the card out and have no problems picking up wireless signals. I'm using a linksys PCI wireless G card.
The cards are as far as apart as my motherboard allows, and the graphics card will only fit in one slot.

It is possible that you have an inadequate power supply. Either way it can't hurt to have a decent power supply installed like a Shaw 720Watt. The computer will only use as much power as is needed from that so it won't burn out anything. The more things you have plugged into the computer, the more power it will require.