I have an Optiplex 7060 micro. As soon as I plug the power adapter into the computer the adapter trips.  I have several Optiplex 7060 micros and the adapter works just fine on any of those so I doubt it's the adapter.   Then it sounds like the computer is broken. You should have it serviced (or maybe just use for parts). These power-supply systems are designed-like laptops. On the similar Alienware x51 ... those had a separate "Power Board" inside. If DIY, please check your PDF Service-Manual for additional details on the internals.
I have an Optiplex 7060 micro. As soon as I plug the power adapter into the computer the adapter trips.  I have several Optiplex 7060 micros and the adapter works just fine on any of those so I doubt it's the adapter.  I tried the only troubleshooting suggestion I could find which was to hold the power supply button for 15 seconds and then plug the adapter back in. That didn't work. Any help anyone could give would be appreciated.
Optiplex 7060 micro Power adapter shuts off