An artificial electro-ferromagnetic meta-material demonstrates the design of tunable band-gap and tunable bi-anisotropic materials. The medium is obtained using a composite mixture of dielectric, ferro-electric, and metallic materials arranged in a periodic fashion. By changing the intensity of an applied DC field the permeability of the artificial electro-ferromagnetic can be properly varied over a particular range of frequency. The structure shows excellent Electromagnetic Band-Gap (EBG) behavior with a band-gap frequency that can be tuned by changing the applied DC field intensity. The building block of the electro-ferromagnetic material is composed of miniaturized high Q resonant circuits embedded in a low-loss dielectric background. The resonant circuits are constructed from metallic loops terminated with a printed capacitor loaded with a ferro-electric material. Modifying the topology of the embedded-circuit, a bi-anisotropic material (tunable) is examined. The embedded-circuit meta-material is treated theoretically using a transmission line analogy of a medium supporting TEM waves.