Waves on Transmission Lines

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After completing this section, students should be able to do the following.

Name several transmission lines.
Explain the difference between phase shift and time delay of a sinusoidal signal.
Evaluate whether the transmission line theory or circuit theory has to be used based on the length of the line and the frequency
Students will explain the difference between lumped and distributed circuit elements.
Derive the voltage on a transmission line from a consideration of a time-delay due to the finite speed of signals in a transmission-line circuit.
Explain parts of propagation constant and what they represent.
Calculate the phase and attenuation constant for specific transmission lines.
Identify whether the wave travels in the positive or negative direction from the equation of a wave.
Describe how signal flows on a transmission line
Recognize and explain transmission line equivalent circuit model
Derive the equations for voltage and current waves on a transmission line from the equivalent circuit model.
Describe forward and reflected wave on a transmission line.
Sketch forward and reflected wave as a function of distance, and explain how the graph changes as time passes.
Derive phasor form of voltage and current wave from/to the time-domain form.
Describe what wavelength represents on a graph of a wave vs. distance
Explain how the wavelength is similar and different to waves period?
Derive and calculate the transmission line impedance and reflection coefficient.
Relate reflection coefficient to impedance.
Derive and calculate the input impedance of a transmission line
Calculate and visualize phasors of forward going voltage and current waves at various points on a transmission line.