[flybouy]

The campers converter should charge the battery when connected to an appropriate outlet for AC voltage.
The TV(tow vehicle) should charge the battery if the TV is wired for it. Many trucks require the installation of a relay and some require the key in the truck to be in the on position to prevent the trailer from discharging the truck while not running. The truck will charge the battery at a slower rate as the wire is smaller than the converters wiring in the camper.