Lecture
This lecture focuses on establishing the mathematical theory of transmission lines, starting with the basic equations and solutions for a small portion of the line. The instructor explains the circuit model of a short section of a two-conductor transmission line, considering resistance, inductance, capacitance, and conductance. By deriving differential equations, the lecture demonstrates how voltage and current behave as waves along the transmission line. The instructor shows how to simplify the equations and solve for the voltage, highlighting the concept of characteristic impedance. The lecture concludes by discussing the physical significance of the characteristic impedance in the absence of reflections, emphasizing its role in determining the relationship between voltage and current in transmission lines.