Hi,
Have you tried charging them via a USB cable connected to a working PC? If that works then your charger may be faulty.
If that doesn't work, then have you tried a different USB cable between your charger and headphones or PC and headphones?
If that works then your charging cable is faulty.
If neither option works then the charging circuit or the battery in your headphones is faulty and needs to be replaced.
Check the warranty period on your headphones and if still valid contact Apple regarding a warranty service.
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