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Comp Transmission Line Lumped Element vs Distributed Model

Compare a lumped element model of a lossless transmission line (single L and C) with the distributed model. Use the following values for the transmission line in this comparative analysis.

Vg = 5 V
Zg = 50 ohms
L' = 100 nH/m
C' = 100 pF/m
ZLoad = 100 ohms

For the lumped model, represent the entire line by L = L' l, C = C' l, etc. and solve for VLoad using standard circuit analysis techniques.

For the distributed model, use the transmission line equations for Zo, Reflection coefficient (r), Zin, Vo+ and VL.

For both cases, express the equations in terms of l/lambda. Please show the derivation of the equations used.

Solution Preview

In lumped Model, we use circuit analysis to derive equations in terms of the unit line capacitance and inductance, multiply by the line ...

Solution Summary

A lossless transmission line is compared using the lumped element model and the distributed model and determining the voltage across a known load. Equations are derived to show how this comparison takes place