Hi Joost,
Thank you for the response. If the battery is 10%> or >10% charged, please try to update the BIOS from the following link http://dell.to/13N4iPD.
Note: Before updating BIOS please ensure that:
*Battery charger should be connected.
*No external devices (flash drives, printers, external hard drives) should be connected.
*All other programs should be closed and documents saved.
Once, BIOS is updated, try installing Dell Quickset on your computer and then check the Battery Health Meter. Here is the link http://dell.to/13qG2yN.
You may also try to wiggle the AC Adapter and check if it works.
Please reply if you have any questions.