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lec06 - d Z jV d I b = cot d jZ d Z in b-= EE3113_L6 5...

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EE3113_L6 1 EE 3113 INTRODUCTION INTO RF CIRCUIT DESIGN Lecture Notes for A-term 1999 LECTURE 6 Prof. R. Ludwig Department of Electrical and Computer Engineering Worcester Polytechnic Institute Worcester, MA 01609 copyright © 1999, 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 b b + + = Characteristic impedance
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EE3113_L6 3 Input impedance of short circuit transmission line ) tan( ) ( 0 d jZ d Z in b = Impedance Voltage: ) sin( 2 ) ( d jV d V b + = Current: ) cos( 2 ) ( 0 d Z V d I b + =
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EE3113_L6 4 Input impedance of open circuit transmission line Voltage: Current: Impedance ) cos( 2 ) ( d V d V b + = ) sin( 2
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Unformatted text preview: ) ( d Z jV d I b + = ) cot( ) ( d jZ d Z in b-= 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 / ( = + + = bl bl l 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 80, equation (2.71) • Example 2.6 on page 82 • Example 2.7 on page 84 • Example 2.8 on page 87 Matching works only for particular frequencies 500 MHz 1.5 GHz...
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