When it is on, nothing happens. When it is on, if i connect the USB to the PC it also does not charge nor recognize any device (not even listed in "lsusb"). The connector is fine, because when i connect a USB OTG cable, and a USB stick, it mounts normally.
Also, from recovery and from Download mode, i am able to use USB cable connected to pc. So, problem is not with the connector.
I have flashed back to Stock, un-rooted, from ODIN. Still does not charge when is on.
It only charges when the phone is off. (Shows the battery icon, with a circle in the middle).
Also, i have tried annother battery too, and different chargers.
Does not seem to be battery, does not seem to be software, does not seem to be connector, and does not seem to be charger.