My laptop pluged in but not charging

There could be many problems with your laptopFirst, check if your laptop was plugged into a surge protector (ex. Power Strip). If it wasn't, a surge could destroy the charger, power supply, or even motherboard.
Second, try a different charger. If it was the charger that broke, then try a different one. I have had this happen to many off my computers over the years.
If it is fried, take it to Staples, or a local computer shop. I would always recommend plugging computers into surge protectors. Good luck!