Gas-insulated transmission line having improved outer enclosure

A gas-insulated transmission line includes an outer enclosure, an inner conductor insulatably supported within the outer conductor, and an insulating gas providing electrical insulation of the inner conductor. The outer enclosure includes a cylindrical insulating pipe or sheath with a separate electrostatic shield disposed on the sheath. The pressure containing function is separated from the electrostatic shielding function, thereby minimizing the use of the more expensive electrostatic shielding material for the pressure containing function.