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lec6 - d jZ d Z in − = EE3113_L6 5 Quarter-wave...

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EE 3113 INTRODUCTION TO RF CIRCUIT DESIGN Lecture Notes for A-term 2003 LECTURE 6 Prof. R. Ludwig Department of Electrical and Computer Engineering Worcester Polytechnic Institute Worcester, MA 01609 copyright © 2003, R. Ludwig Copyright, 1998 © R. Ludwig
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EE3113_L6 2 Special Termination Conditions • Lossless transmission line C L Z = 0 ) tan( ) tan( ) ( 0 0 0 d jZ Z d jZ Z Z d Z L L in β β + + = Characteristic impedance
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EE3113_L6 3 Input impedance of short circuit transmission line ) tan( ) ( 0 d jZ d Z in β = Impedance Voltage: ) sin( 2 ) ( d jV d V β + = Current: ) cos( 2 ) ( 0 d Z V d I β + =
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EE3113_L6 4 Input impedance of open circuit transmission line Voltage: Current: Impedance ) cos( 2 ) ( d V d V β + = ) sin( 2 ) ( 0 d Z jV
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Unformatted text preview: ) ( d jZ d Z in − = EE3113_L6 5 Quarter-wave transmission line L L L in Z Z jZ Z jZ Z Z Z 2 ) 4 / tan( ) 4 / tan( ) 4 / ( = + + = βλ λ Quarter-wave transformer model: given input and output impedances Predict line impedance in L Z Z Z = EE3113_L6 6 What should you know? • Input impedance: Page 76, equation (2.71) • Example 2.6 on page 77 • Example 2.7 on page 80 • Example 2.8 on page 82 Matching works only for particular frequencies 500 MHz 1.5 GHz...
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