AC adapter connectors

Here below are possible causes and troubleshooting steps of laptop that can't power on, hope it may help:
Possible causes:

1. AC adapter failure.
2. Power jack failure.
3. Motherboard failure.

Possible troubleshooting steps and repair solutions:
1. Test your compaq tc4200 power supply with a digital multimeter. It's possible that you have a failed AC adapter. If you don't have a multimeter, test your laptop with another known good AC adapter.

2.It's possible that power jack (socket where you plug the AC adapter) is broken. Remove the motherboard and take a closer look at the power jack. In some cases you can fix the jack by resoldering it on the motherboard. In other cases you have to replace the jack with a new one. Using a multimeter, test if the power goes to the motherboard through the jack.

3. If replacing the AC power adapter and jack on the motherboard doesn't help, most likely you have a bad motherboard. Replace the motherboard.

According to your description, there is a big chance that you charger need to be replaced.http://www.chargerbuy.com/replacement-hp-compaq-nx6320-smart-ac-185v-35a.html

internal component failure close to adapter socket Maybe user serviceable problem with recent surface mount components not really repairable by consumer

laptop accessory

Unfortunately on most Compaq/HP mobile devices the AC pin is soldered directly onto the motherboard. If the pin is severely bent of broken off then a service is required, usually to replace the motherboard. Having the broken off like then can actually create a minor crack in the PCB. Sorry for the bad news.