A rotary connector device for making a plurality of electrical connections in a mating arrangement between two components includes a male component with a large diameter end part transitioning to a slope-stepped part having a surface defined by outer sidewalls of alternating male conducting rings and male insulating rings and a female component having a central bore configured to retain a series of alternating female conductor rings and insulating rings. Each of the male conducting rings is connectable to an electrical line and each of the female conducting rings is connectable to an electrical line. Each of the female conducting rings makes direct or indirect conductive contact with a corresponding male conducting ring of the male conducting rings when the mating arrangement is made. The male conducting rings and the female conducting rings, or separate conducting components associated therewith, have contact surfaces with complementary shapes that engage each other in a latching mechanism when the mating arrangement is made.