Abstract: An electrical transmission line has improved signal transmission characteristics, low attenuation, constant phase and group velocity and constant and nearly ohmic characteristic impedance over a wide frequency band by providing low magnetic loss inductance along with the shunt capacitance of the insulation surrounding the conductors. The low loss inductance can be provided by particulate magnetic material, such as ferrites, homogeneously distributed in the insulating material or alternatively the inductance can be provided by ring(s) of magnetic material concentric with the conductor or by layer(s) of magnetic material when the conductor(s) are flat. A variety of radial or longitudinal profiles of the doping level is possible and can be used in combination with any of these basic loading designs. These concepts can be applied in twisted pair, coaxial or high voltage power transmission and distribution single or three phase cables or strip lines and other breadboard applications.