A method for transmitting an optical signal and an electrical signal and/or power in a borehole penetrating the earth includes transmitting the optical signal using a hybrid fiber optic cable disposed in the borehole, the hybrid fiber optic cable includes an optical fiber for transmitting the optical signal. The method also includes transmitting the electrical signal and/or power using the hybrid fiber optic cable, the hybrid fiber optic cable further includes (i) a first electrically conductive sheath circumferentially surrounding the optical fiber and having a first electrical connector and (ii) a second electrically conductive sheath circumferentially surrounding the first electrically conductive sheath and having a second electrical connector for transmitting the electrical signal and/or power.