Benvenuto, africatwin!
Your English is many times better than my Italian!
With the computer connected to the power adaptor, do "About this Mac" from your Apple menu (left end of menubar) and, in the resulting window, click the "More Info..." button. That launches System Profiler.
In Profiler's left-hand "Contents" pane, find a click "Power" to get this window (I added the yellow emphasis):
From that screen on your computer, copy the lines matching those II highlighted in yellow in teh above image. Paste them into a response to me.
The numbers there can be very helpful in diagnosing battery issues, and I believe we can give you better advice regarding your issues.
When you answer, please also tell us your Mac OS version. It will show up when you do "About this Mac." That may make it easy for us to help you as the process continues.