A current carrier for a solid oxide fuel cell system comprising a current-carrying core formed of a high-conductivity metallic material such as copper, brass, bronze, silver, silver-copper alloys, molybdenum, tungsten, or the like, and a protective jacket surrounding the core material. Preferably, the jacket is metallurgically bonded to the core. The jacket is formed of a high temperature alloy such as stainless steel, nickel, or a nickel alloy. The jacket is structurally competent to maintain the form of the electrical carrier at elevated temperatures at which the core material may be structurally incompetent. The current carrier may be sized comparable to conventional copper cables. The carrier is attached to a fuel cell current collector by a clamp assembly having a large surface contact area. Preferably, a contact paste consisting of fine silver particles forms a diffusion bond between the clamp and the carrier jacket, resulting in a low-loss connection.