Thanks for posting. Apologies that your system is not performing as expected.
When you plug in the adapter to the system, does the adapter stay firm or does it fall out easily? Is there any type of damage to the system?
Restart the system and press f2 key to enter the BIOS - check the adapter status while in the in BIOS with and without the adapter plugged in. Also, wiggle the adapter cable at the end that plugs into the computer and see if the status changes in BIOS at any point.
Update the BIOS and check if it starts working - www.dell.com/support
Restart the system and press f12 key on startup - choose diagnostics. Let it run the tests and if you encounter any errors - make a note of the complete error and post back. These are onboard diagnostics and they might show a hardware issue.
If the adapter is loose and you've been able to try a known working adapter, I would suspect the port to be the issue, if not, then either the ac adapter, battery or internal charging circuit could be the fault.
If the system is under warranty, please contact me privately. Be sure to include your personal information (name, address, telephone, email) and your computer's service tag number in your message. Thanks.
If there is no warranty, then you could contact our Out of Warranty team to get a quote for a paid service call -http://dell.to/1vnT6CQ
Click the links below for troubleshooting and resolving battery not charging error.