Dell Studio 1735 dosn't charge battery + corrupted charging socket.

Hi, everyone.

I've Dell Studio 1735, which doesn't charge the battery.

When I plug in a charger all the way I hear a sound of short - the laptop doesn't power on. there is a green light on the charger that's usually lit, now it's off.

when I pull the plug 1/8" out, I could hear the "short" again, and laptop powers on. Charger's light is on.

I suspect that this short sound is due to burnt charging circuit.

BTW, whoever designed 3-contact plug???

I checked terminals that feed the battery - 3.34V (on five pins, 2 "longs" pins are "-").

I need your ideas on find the fault and fix it. Picture doesn't show it well - the center "double" contacts are burnt, there is the same burn on the inner tip of charger's plug.

Thanks.