Iphone turns off after unpluging cable
 

I have an Iphone while he is in cable (charging) it works properly. It doesn't matter how long you leave in charging, but after you unplug the iphone from charging(even after hours from charging) he truns off after one or two minutes. I needs to plug cable again to start working again. I already changed the battery but the same problem.

Any Suggestion

Best
Arimob