Run an app to see where your power usage is.
I haven't had this problem, but I do not have many apps installed. I also keep WiFi and Bluetooth off unless I am downloading an app.
Also, because I have the settings configured not to go into sleep mode when I have the unit plugged in, I have to manually put mine in hibernation when I am charging it. If your brightness was all the way up and you were using a low amperage charger this could happen.
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