Hi and welcome to Phandroid
when you plug in the tab if nothing comes on the screen then you there something you can you can try to boot it up in a different mode. just holding the power button will turn it on normally, try holding the power, volume up AND home button to see if it will boot up in recovery mode or download mode while plugged in, if you can get it to there try a factory reset and then reboot and see if it will boot normally
you can sign up for the forums here get more help from me or anyone here if this does not work