Had the same problem yesterday. my note went out of energy and shut down. So, after a while I connected it with the cable to charge. And what happened? After a hole night I got only 50% -.- I was like wtf?? then I tried the galaxy s3 charger and there was a red cross on the battery icon. Then I tried the note charger, again nothing, and like the other poster said, after a few times in and out it worked again.
Galaxy S3 i9300
Rom:Latest WanamLite ROM
Kernel:Latest Stock Kernel
Former Phones: Siemens C45 -> Nokia 3330 -> Nokia 3660 -> Nokia 6280 -> Samsung F480 -> Samsung Galaxy S i9000 -> Samsung Galaxy S3 i9300
Tablet: Samsung Galaxy Note 10.1 N8010 16Gb Titanium Grey @LL3