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EE3113_A2009_L6

# EE3113_A2009_L6 - Voltage Current Impedance cos 2 d V d V...

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ECE 3113 INTRODUCTION TO RF CIRCUIT DESIGN Lecture Notes for A-term 2009 LECTURE 6 Prof. R. Ludwig Department of Electrical and Computer Engineering Worcester Polytechnic Institute Worcester, MA 01609 copyright © 2009, R. Ludwig Copyright, 1998 © R. Ludwig

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ECE3113_L6 2 Objectives What is the input impedance of a TL? What are open/short/match conditions of a TL? What is a lambda quarter transformer?
ECE3113_L6 3 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 Characteristic impedance

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ECE3113_L6 4 Input impedance of short circuit transmission line ) tan( ) ( 0 d jZ d Z in Impedance Voltage: ) sin( 2 ) ( d jV d V Current: ) cos( 2 ) ( 0 d Z V d I
ECE3113_L6 5 Input impedance of open circuit transmission line

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Unformatted text preview: Voltage: Current: Impedance ) cos( 2 ) ( d V d V ) sin( 2 ) ( d Z jV d I ) cot( ) ( d jZ d Z in ECE3113_L6 6 Quarter-wave transmission line L L L in Z Z jZ Z jZ Z Z Z 2 ) 4 / tan( ) 4 / tan( ) 4 / ( Quarter-wave transformer model: given input and output impedances Predict line impedance in L Z Z Z ECE3113_L6 7 What should you know? • Input impedance: Equation (2.71) • Example 2.6 • Example 2.7 • Example 2.8 Matching works only for particular frequencies 500 MHz 1.5 GHz...
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