Sinusoidal Excitation and Complex Phasors

This lecture introduces the study of transmission lines excited by sinusoidal signals, focusing on the response to long-lasting sinusoidal signals. The instructor explains the concept of causal response zones, transient regime, and permanent regime. The use of complex phasors is presented as a mathematical tool to simplify the analysis of transmission line equations, leading to a more straightforward resolution process. By transforming the differential equations into complex form, the lecture demonstrates how to find solutions for voltage and current phasors, which can then be used to retrieve the temporal signals. The advantages of using phasors, such as their time-independence and simplification of differential equations, are highlighted, emphasizing their applicability to monochromatic signals.