Am I the only one having this problem? It seems that if my battery gets beneath the 20% (i.e. when the red battery starts to display) it will run out of power even if it is attached to an A/C wall charger (i.e. the power of the iPhone seems to be greater than the power available to charge it?) The result is that iPhone turns off (due to lack of power?) but in the morning (this typically happens overnight) when I turn the phone on the battery is now charged? (i.e. because the phone is 'off' it's not using power so the charging can replenish the battery?) Further info: It's not the charger. I've had it replaced and checked it on other phones - it appears to be working fine. It's not because I'm running a power hungry app. The phone is typically in the home screen state (no app running, screen black/locked) and I have Wifi & 3G both OFF. Is this behaviour unique to me?