Hi,
It seems like the AC adapter is faulty already but please do try these troubleshooting steps that may help.
- Start by doing a test with the AC adapter and battery.
- Remove the battery off the laptop then plug it in directly to it's AC adapter and see if it will boot up or not.
- If the laptop will boot up with just the AC adapter connected that means it's still working.
- But if the laptop will not boot up with just the AC adapter connected, do also try a different AC adapter that has the same voltage and see if it will boot up or not.
- If the laptop will not boot up with just the AC adapter connect that only means that the charger needs to be replaced.