Power connectors and power adapters for various vehicles including motorcycles, snowmobiles, golf carts, and other off-road vehicles to provide easy access to an electrical system on the vehicle to plug in various accessories, including cell phones, laptop computers, audio systems, communications systems, and the like. Connecting wires with power connectors include various standard-size connectors, including DIN 4165 connectors, SAE two-pin connectors, and cigarette lighter sockets, for example. Specific mounting brackets are disclosed to be utilized in locations on various motorcycles and other off-road vehicles for easy access to the power outlet socket attached to the mounting bracket. Further, various adapter wiring harnesses for changing from one type of connector to another are disclosed, as well as a piece of luggage for carrying all of the accessories, and the luggage piece incorporates a power outlet in the side of the luggage bag. Many embodiments of the above are also disclosed.