One or more insulated conductive wire assemblies are incorporated in a pressure balanced, oil-filled (PBOF) hose. Each conductive wire assembly has a pair of conductive wires each having an insulation layer, an insulating material surrounding the insulated wires, and an outer insulating layer surrounding the insulating material. The insulating material may be selected to have a dielectric constant substantially matching the dielectric constant of the oil in the PBOF hose, so that the insulated pair of conductors perform in the same way both before and after the assembly is submerged in oil in the jumper hose. One or more parameters of the conductive wire assembly are selected such that the assembly has a predetermined impedance when submerged in oil within the PBOF hose.