Lecture 2: The Terminated Lossless Transmission Line


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In this video I introduce the concept of reflection and transmission at a load. I then derive the “reflection coefficient” as the ratio of the reflected voltage to the incident voltage wave, and the “transmission coefficient” as the ratio of the voltage across the load to the incident voltage.

In this video I derive a general expression for impedance on a transmission line as a function of distance away from the load. This equation serves as the basis for the “Smith Chart” – a graphical tool which enables the simultaneous visualization of the impedance and the reflection coefficient as a function of distance away from the load and which we will cover in later videos.

In this video I plot the voltage, current, and impedance on a transmission line that is terminated with an open load. It is shown that the resulting voltage and current wave-forms are 90 degrees out of phase and there is no power transfer (as expected).

In this video I introduce the Crank diagram which is a useful tool for visualizing the change in the voltage and current vectors on a transmission line as you move away from the load impedance. The max and min voltages as well as the resulting VSWR drop right out of the Crank diagram.