An electrical connector arrangement includes male and female connectors each having plural terminals connected to a respective conductor, and adapted for mutual physical and electrical mating. Each connector includes a respective overmold body coupled to a multi-conductor cable, a respective inner insulator disposed about and in contact with plural terminals, and an outer threaded coupling nut for coupling the two connectors together, where each insulator is comprised of an electrically insulating, thermally conductive material. In one connector, a conductive, cylindrical metal sleeve is disposed between its associated insulator and coupling nut. In that same connector, a generally circular metallic, spiral cooling spring is disposed between and in intimate contact with adjacent portions of the inner metal sleeve and the outer coupling nut to facilitate transfer and dissipation of heat via conduction and convection from the connector's outer surface.