Lecture 15-Transmission line circuits

Lecture 15-Transmission line circuits - ENEE 381 Lecture#15...

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Unformatted text preview: ENEE 381 Lecture #15 The Smith Chart 9-6 Transmission line circuits 9-4.4 Input impedance of finite length terminated line Z0 ZL z Z i +-- l Exactly the same equation as for multiple dielectrics For a lossless line This could be another transmission line i V % i I % ( 29 ( 29 z z V z V e e γ γ +- = + Γ % ( 29 ( 29 z z V I z e e Z γ γ +- =- Γ % ( 29 l l i V V e e γ γ +- = + Γ % ( 29 l l i V I e e Z γ γ +- =- % z z i i z z i V e e Z Z I e e γ γ γ γ-- + Γ = =- Γ % % j γ β = ( 29 ( 29 ( 29 ( 29 cos sin cos sin L i L Z l jZ l Z Z Z l jZ l β β β β + = + L L Z Z Z Z- Γ = + Other forms of the same equation γ = j β for lossless transmission line ( 29 ( 29 ( 29 ( 29 cos sin cos sin L i L Z l jZ l Z Z Z l jZ l β β β β + = + ( 29 ( 29 tan tan L i L Z jZ l Z Z Z jZ l β β + = + ( 29 ( 29 ( 29 ( 29 cosh sinh cosh sinh L i L Z l Z l Z Z Z l Z l γ γ γ γ + = + ( 29 ( 29 tanh tanh L i L Z Z l Z Z Z Z l γ γ + = + 2 2 2 2 1 1 1 1 z z z j z i i z z z j z i V e e e e Z Z Z Z I e e e e γ γ γ β γ γ γ β-- + Γ + Γ + Γ = = = =- Γ- Γ- Γ % % Quarter wave line Z0 ZL z Z i-λ/4 Quarter wave transformer ( 29 ( 29 tan tan L i L Z jZ l Z Z Z jZ l β β + = + 2 4 2 l π λ π β λ = = 2 i L Z Z Z = i L Z Z Z = Half wave line...
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This note was uploaded on 12/03/2011 for the course ENEE 425 taught by Professor Staff during the Fall '08 term at Maryland.

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Lecture 15-Transmission line circuits - ENEE 381 Lecture#15...

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