Just posted this to the other thread mentioning the same issue -
New iPhone won't chage:
I just registered to let you know that I am having this same problem.
When I try to charge on the AC adapter, the phone vibrates and makes the noise it normally makes when beginning to charge, but the notification on the top right does not change.
When using the USB directly into a computer, I sometimes am able to sync for a short while before getting a message stating that the device is using too much power and the USB port had to be shut down. Other times, I get this message immediately without a sync. I've tried this on a 13 inch Unibody Macbook Pro and on a Windows machine with the same results.
I called Apple Support, and they ran some diagnostics over the phone and told me they were unable to see anything wrong (also suggested a hard reset). I was redirected to a manager and told that I would need to go to an Apple store in person to see if they could troubleshoot the issue. The earliest this could be scheduled was 12:50 PM tomorrow which obviously is not good enough considering this phone is now activated and my main means of communication.
I called my local Apple Store directly and explained my problem, and was told to come in at 5:30-5:45 today to possibly talk to someone at the Genius bar who could try to troubleshoot my issue. If it turns out to be the device, they said that I might get lucky and get to claim an unclaimed ticket for the day (unlikely), or otherwise I would be given a ticket and would need to return early enough tomorrow to receive a replacement iPhone before they run out of stock again.
I'm pretty frustrated that I am being told that the best option if my $700 unsubsidized phone is broken, is that I will either have to get lucky tonight or essentially wait in line tomorrow morning for a phone I already own.
I just wanted to keep other people having the same issue updated, and possibly get feedback on how their issue was resolved.
Thanks, and good luck.