Carter was committed to James Franklin's program for nine days.
"I think players, when they know and believe that you as a coach are in it for their best interest, they give you that little extra."
The redshirt senior has one year of eligibility remaining as a grad transfer.
The game will kick off at 2 p.m. on Saturday, April 15.
As per tradition, Penn State football's early enrollees sought to #SetTheStandard on the first day of classes.
Jacobs joins defensive end Adisa Isaac as the latest impact defender to announce their return for next season.