A flexible electrical connection, and method for making such a connection, for mounting an electronic device, such as a semiconductor chip made primarily of silicon, on an organic substrate, such as a printed circuit board made of a glass material impregnated with epoxy resin, are disclosed. The flexible electrical connection comprises a circuit line attached to the surface of the organic substrate and having a floating terminus in a relatively low adhesive area of the organic substrate where it is desired to mount the electronic device on the organic substrate. The floating terminus includes a stress relief bend, and the flexible electrical connection relieves stresses, such as thermal stresses, which may otherwise damage the physical and/or electrical connection between the electronic device and the floating terminus of the flexible electrical connection when the electronic device is mounted on the surface of the organic substrate.