An electrical connecting device having an output connection, which is designed to be detachably connected to a charging connection of an accumulator device of a vehicle operated using current, the electrical connecting device also including a supply connection that is designed to be detachably connected to a network connection of an alternating current low-voltage interconnected network. The connecting device is characterized in that the electrical connecting device includes an alternating current/direct current converter, which is suitable for converting the alternating voltage of the supply connection to an electric DC voltage suitable for the accumulator device. A method is also described for charging an accumulator device of a vehicle operated by current using an electrical connecting device.