My Dell Inspiron N5110 works just fine if I plug it into the AC power without putting the battery in but if I put the battery in it crashes immediately and will neither charge or boot. It has become a desk bound laptop but hopefully there is a fix that can set it free again...
Are you using an original Dell OEM Adapter and battery? Is the adapter frayed? Is there any damage on the system? Could you test with another power adapter and battery?
Try flashing the BIOS if possible - http://dell.to/1JZP8qH- restart and check.
Although you would need the battery and adapter to be connected to flash the BIOS. So, you might need to test with another battery.
If another good known battery exhibits the same behavior on the system, then the motherboard might be faulty.
Also, please click my DELL-username and write me a private conversation with the service tag and your Name for case records.
You could contact our team to get a quote for a paid service call - http://dell.to/1vnT6CQ
Let us know if you have any other queries.
Does the system correctly identify the AC adapter, or is it showing unknown (F2 at powerup to check)?
If the adapter is correctly recognized -- and particularly if this is an original battery -- the battery is probably dead and in need of replacement.
If the adapter isn't recognized, you have a faulty adapter, DC jack or mainboard -- replace in that order.