A composite conductor assembly is configured as a core composed of polymeric elastomeric material and a conductive layer in intimate surrounding contact with the core. The polymeric material provides elasticity to the core to enable the core to elongate when subjected to strain forces within a tire. The conductive layer is fabricated from a low impedance material and may be configured as a composite wherein an inner base metal is selected as a strength member and an outer metallic layer is applied to the base for electrical performance enhancement.