I doubt you have any 10-2 in the RV, check and see if you have any 30 amp breakers, if so you may have some 10-2, all you need for the 10.8 amps is at least 14-2, I would go with 12-2 to reduce resistance. 14-2 is good for 15 amps, 12-2 is good for 20 amps.