So going through the process of elimination, if you've tried different adapters and different USB cables that rules either of being the source of the problem. That leaves either some issue with the cigarette port or your J7. Those cigarette ports being pretty generic I can't think of some problem that would cause it to only provide a minimal amount of power. Regarding your phone, assuming it charges normally at home, do you often use it doing things on it that equate in some way to what you do with in your car? Which leads to the next question, are you using it do play music and navigation, or is it idle with the screen in sleep mode?