An electrical contact device for an arrangement includes two apparatuses, between which a relative movement takes place along a first movement path. In at least one embodiment, the electrical contact device includes a first contact, including a first contact surface, and includes a second contact including a first multiplicity of contact arms, each provided with a contact projection for making contact with the first contact surface. In at least one embodiment, in order to prevent excessive friction wear to the first contacts even when the contact projections of the associated second contacts are arranged successively in the same direction as the first movement path, at least one device is provided for controlling a relative movement between the two contacts along a second movement path, which runs parallel to the first contact surface of the first contact and obliquely with respect to the first movement path.