itunes doesn't detect new iphone 5

Just got my new iPhone 5 today. Tried to connect to iTunes but iTunes doesn't detect new phone. WHen I plug the lightning cable into the phone, it doesn't make a beep sound like it does on the 3G. I tried restarting Apple Mobile Device, restarting iTunes, restarting phone and computer and nothing.... Could my cable be defective? Or is there anything else I should do to fix this problem?