Carter was charged from an incident in the 47th minute involving Eels half Corey Norman.
The Grade 1 charge carries a base penalty of 100 points, but loading from two prior offences means he'll be suspended for a match unless he successfully fights the charge at the NRL judiciary.
Parramatta centre Vai Toutai was also charged by the NRL math review committee for a grade 1 careless high tackle on John Sutton, but will not miss any matches.