My iPhone, which I just bought yesterday, worked fine when I first got it. So I thought it was fully charged, but then it just suddenly cut off on me, so I began to charge it through the wall outlet. Then when the battery said fully charged I unplugged it, and about a minute later it just cut off again. After that it wouldn't even show the apple logo when turning on unless I had it plugged in. Then it began not even turning on when plugged in. So now I have it sitting in the dock, it is off and won't come on, and I'm waiting for the restore software to download, because I did happen to get it into restore mode for I guess a second, but long enough for it to recognize the phone in restore mode I suppose. So is this going to work, or am I going to have to go get a new one?