Disclosed is an electrical connecting apparatus for supplying power to cars which are coupled to one another, including a first plug-in connector to which at least one cable is connected, and a corresponding second plug-in connector which is intended to be fastened to a car wall, in particular in a vertical lateral wall. The first plug-in connector and the second plug-in connector are each provided with one or more corresponding first contact elements or second contact elements which can be plug-connected in an insertion direction (A), and the cable of the first plug-in connector exits from the first plug-in connector in a first cable outlet direction (B) which is angled away in relation to the insertion direction (A). Also disclosed is a rail vehicle having at least two coupled cars, wherein each of the two coupled cars is provided with at least one electrical connecting apparatus as above described.