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Unformatted text preview: EE 4002 RF Circuit Design Transmission Lines Part 3 Terminated Lossless TL Load Impedance connected to a finite lossless TL. A voltage wave is coupled into the line at z =  l o V V + = ( ) kz kz V z V e V e + + = + ( ) kz kz I z I e I e + + = + Forward Waves Reflected Waves from the terminating load impedance for z<0 Lets now define a voltage reflection coefficient: Which is the ratio of reflected to incident wave. Terminated Lossless TL ( ) ( ) kz kz o V z V e e + + = + Traveling wave equations now become: ( ) ( ) kz kz o o V I z e e Z + + = ( ) ( ) ( ) ( ) kz kz o o kz kz o e e V z Z z Z I z e e + + + = = The generalized impedance eqn At any location on the TL: At the input impedance can be found. z l =  in Z At the load impedance can be found. z = L Z Solving for the reflection coefficient yields: L o o L o Z Z Z Z = + 1 ( ) (0) 1 o o z o Z z Z Z = + = = Terminated Lossless TL This is a very useful way to calculate the reflection coefficient in terms of known circuit quantities, (TL and load impedances). Propagation Constant and Phase Velocity...
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This note was uploaded on 01/31/2012 for the course EE 4002 taught by Professor Scalzo during the Fall '06 term at LSU.
 Fall '06
 Scalzo
 Impedance, Volt

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