It's just a sensing wire. I don't think you broke anything, unless you actually fed power to the 3.5mm jack. In other words, one wire has an internal pull up when "floating," and the other wire is ground.
Did it work before?
Get a multi-meter and measure voltage. Plug the black probe to chassis ground. Probe each wire. You should get some sort of voltage on one wire, and 0V on the other wire (assuming it's ground). If you get nothing on both wire, then it might be the 3.5mm cable (looks like headphone cable). Do a continuity check from the 3.5mm plug to the ends of the wire to make sure the cable is good.
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