Good Afternoon,
I'm having almost the same problem. My Inspiron One just shut down while I was connected to the internet. Even the blue led light on the cord wasn't lighting up even if was plugged. I tried to turn on the power button but there wasn't any respond. Then I pulled out the plug from the computer and disconnect the cord from the adaptor and reconnect the two together. That's when the led light on the cord started lighting up again. But as soon as I plugged it to the computer, the light disappeared. The computer would not turn on... This happens every time I try it. I even bothered leaving the adapter plugged in to the wall the whole night with the led light on. But every time I connect it back to the computer, the blue light on the cord would turn out...Please help. Thanks much.