lecture 5 Ch 2 sec 9

# lecture 5 Ch 2 sec 9 - EE 4002 RF Circuit Design...

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EE 4002 RF Circuit Design Transmission Lines Part 3

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Terminated Lossless TL Load Impedance connected to a finite lossless TL. A voltage wave is coupled into the line at z = - l () kz kz Vz Ve + −− + =+ kz kz I zI e I e + + Forward Waves Reflected Waves from the terminating load impedance for z<0 o V V + Γ= Let’s now define a voltage reflection coefficient: Which is the ratio of reflected to incident wave.
Terminated Lossless TL Traveling wave equations now become: () ( ) kz kz o o V I zee Z + −+ =− Γ ( ) kz kz o Vz V e e +− + =+ Γ ( ) kz kz o o kz kz o ee Zz Z Iz e e == −Γ The generalized impedance eqn At any location on the TL: At the input impedance can be found. zl in Z At the load impedance can be found. 0 z = L Z Solving for the reflection coefficient yields: L o o L o ZZ Γ= + 0 1 (0 ) 1 o o z o Z Z = + Γ − Γ

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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 • Earlier we defined the propagation constant:

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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.

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lecture 5 Ch 2 sec 9 - EE 4002 RF Circuit Design...

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