<p>The study focuses on the analysis of the phenomena of electromagnetic radiation in the context of RFID-systems based on interaction of the two oscillating circuits: reader and tag. The study process revealed a significant dependence of the range of RFID-systems on such external factors as temperature and humidity. To achieve this goal, a theoretical model has been developed by means of partial differential equations with multiple variables and degrees. The model emphasizes damped electromagnetic periodic oscillations in the zero state, which enabled us to derive two mathematical formulas describing the influence of the environment on performance of RFID-technology. Retrieved findings contribute to understanding and optimizing the performance of RFID-systems in different environments, and open new directions for further research into wireless communication.</p>