This paper develops an original circuit theory of energy and data transition. The modelling of signal and energy hybrid receiver (SEHR) is developed. The SEHR topology is described in function of the constituting coupled line (CL) and a transmission line (TL) performed with unfamiliar and arbitrary load values. The equivalent S-matrix versus electrical parameters is established. The analysis of the S-matrix enables to predict the transmitted power and also the optimal condition of zero reflection in function of the terminal loads. The validity of the SEHR analytical model is verified with commercial tool simulations with a microstrip structure proof-of-concept. A configuration of electromagnetic (EM) environment operating at 2.45 GHz with input power of about 0 dBm is considered. The prediction of detected average energy and transmitted data-signal voltage amplitude in function of SEHR electrical and geometrical parameters is discussed