I’ve been having a recurring problem with rechargeable batteries for our Xbox 360 controllers. The batteries are included official Microsoft Play and Charge Kits, which include the battery and a USB charging cable. It’s a nice idea; when your battery is running flat, you connect it to the cable, plug it into a USB slot on the Xbox, and you can continue using the controller as the battery charges. The part of the cable that connects to the controller also has a light to to tell you what’s happening – red means the battery is charging, green means it is fully charged.
A while ago, the battery refused to charge. When connected to the cable it was behaving as if the battery was fully-charged – the light would go red for around 10 seconds, then go green – but when disconnected from the cable the controller would die.