Laptop power issue

So two days ago my laptop was not able to turn on at all and so i checked the ac adapter and it was beeping so i got brought a replacement adapter.

So everything after here is with my new ac adapter:

Now it powers on but if the power is connected after the computer starts up then the ac adapter is beeping and the computer no longer receives power but after a random interval of time the beeping stops and computer is charging again.

However if i put in the power line before the computer starts the power line is beeping at first but once i boot the computer the beeping stops and windows shows the power as connected.

Also when i change the Battery Mode in the Lenovo energy management panel the power disconnects and the ac adapter starts beeping again and after another interval of time the power is recognized by windows again and the beeping stops.

As well if i plug out the power supply from the laptop and plug it back in it takes a random interval of time for the power to come and there is also beeping.


So is there anything that i can do to fix this problem.

Thanks,
Harry