4605Solnf08-02

4605Solnf08-02 - # (9/3) For the circuit below, determine...

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2 4605Solnf07.wxp (9/3) For the circuit below, determine the -parameters with S a. & ! Þ ! !" !# ! H b. and ^ œ "!!! ^ œ "!!Þ! !" !# HH 1 2 j300 Ω -j333.3 --------------------------- a. For and , put a 50.0 resistor on port two and begin by determining the input impedance. == "" #" H We then find ^ œ  4$$$Þ$ ² &!  4$!! œ  4 œ "')(n#%Þ# $$$Þ$ &!  4$!! &!  4$$Þ$ 38 ±² ° = œ œ œ !Þ*%(%n"Þ$*$ ^  &! "'%#n#%Þ* ^  &! "($$n#$Þ&# "" 38 38 ° ° ° E œ œ !Þ"'%%n  )!Þ*% &! &!  4$!! Z0 ° = œ "  = E œ "Þ*%("  4!Þ!#$! ‡!Þ"'%%n  )!Þ*% œ !Þ$#!"n  (*Þ)' &! &! #" "" Z 0 ± ² Ê °° For and , put a 50.0 resistor on port one and begin by determining the output impedance. We ## "# H then find ^ œ 4$!!   4$$$Þ$ ² &! œ #*'Þ(#n)!Þ&" 9?> ° = œ œ œ !Þ*%(%n")Þ)* ^  &!  "Þ"!"  4#*#Þ'' ^  &! *)Þ*!  4#*#Þ'' ## 9?> 9?> ° E œ œ !Þ"'''n  )*Þ!& &! ²  4$$$Þ$ &! ²  4$$$Þ$  4$!! Z< ° = œ "  = E œ "Þ)*'%  4!Þ$!'( ‡!Þ"'''n  )*Þ!& œ !Þ$#!"n  (*Þ)' &! &! "# ## Z < ± ² Ê where and . The latter is not an equality, just equal magnitudes related to the = = œ = #" "# "" ## kkkk
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3 4605Solnf07.wxp lossless property of the circuit . The equality of and denotes reciprocity ˆ‰ kk kk Ê"œ =  = = = "" #" #" "# ## of the network, true for ANY passive, linear network.
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This note was uploaded on 09/30/2008 for the course ECE 4605 taught by Professor Wadavis during the Fall '08 term at Virginia Tech.

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4605Solnf08-02 - # (9/3) For the circuit below, determine...

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