Homework09 - ECE 3030: Electromagnetic Fields and Waves...

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Unformatted text preview: ECE 3030: Electromagnetic Fields and Waves Fall 2009 Homework 9 SOLUTIONS for GRADER: Stubs, Smith Chart/tan-tan, HR Stacks Reminder: See Email hints for 14.14! Date: Tuesday 11/3 1. Problem 13.8: a. L = 25- 50 25 + 50 =- 1 3 = ( z = 0) = L =- 1 3 Z n ( z = 0) = Z L Z = 1 2 Y n ( z = 0) = 1 Z n ( z =0) = 2. Choose 1 = 0 . 098 = Y n ( z =- 1 ) = 1 .- j . 705 from the Smith Chart in Figure 1. b. For an open-end stub, Z n ( z = 0) = = Y n ( z = 0) = 1 Z n ( z =0) = 0. Choose 2 = 0 . 0978 so that Y n ( z =- 2 ) = j . 705. c. For a shorted stub, Z n ( z = 0) = 0 = Y n ( z = 0) = . Choose 2 = 0 . 3478 so that Y n ( z =- 2 ) = j . 705.-1-0.8-0.6-0.4-0.2 0.2 0.4 0.6 0.8 1-1-0.8-0.6-0.4-0.2 0.2 0.4 0.6 0.8 1 0.1 0.1 0.2 0.2 0.3 0.3 0.4 0.4 0.5 0.5 0.6 0.6 0.7 0.7 0.8 0.8 0.9 0.9 1.0 1.0 1.2 1.2 1.4 1.4 1.6 1.6 1.8 1.8 2.0 2.0 3.0 3.0 4.0 4.0 5.0 5.0 10 10 20 20 50 50-j0.1 j0 .1- j0 .1 j0.1-j0 .2 j0 . 2- j0 . 2 j0 .2-j0.2 j0 .2-j0.2 j0.2- j0 .3 j0 .3- j0 .3 j0 .3- j0 . 4 j0 . 4- j0 . 4 j0 . 4-j0 .4 j0 . 4-j0 .4 j0 .4- j . 5 j . 5- j . 5 j . 5- j . 6 j . 6- j . 6 j . 6- j0 .6 j0 .6- j0 .6 j0 .6- j . 7 j . 7- j . 7 j . 7- j . 8 j . 8- j . 8 j . 8- j0 . 8 j0 . 8- j0 . 8 j0 . 8- j . 9 j . 9- j . 9 j . 9-j1.0 j1.0-j1.0j1.0- j 1 . j 1 .- j 1 . j 1 .- j 1 . 2 j 1 . 2 j 1 . 2- j 1 . 2- j 1 . 4 j 1 . 4 j 1 . 4- j 1 . 4- j 1 . 6 j 1 . 6 j 1 . 6- j 1 . 6- j 1 . 8 j 1 . 8 j 1 . 8- j 1 . 8- j 2 . j 2 . j 2 .- j 2 .- j3 .0 j3 .0 j3 .0- j3 .0- j4 .0 j4 .0 j4 .-j4 .0- j5 . j5 .0 j5 .-j5 .0- j1 j10- j1 j10- j2 j20- j2 j20- j5 j50- j5 j50 0.00 . 2 . 4 . 6 .0 8 0.10 0.12 0.14 .1 6 . 1 8 . 2 . 2 2 . 2 4 . 2 6 . 2 8 . 3 . 3 2 . 3 4 .3 6 .3 8 . 4 .4 2 . 4 4 . 4 6 . 4 8 Z L | g |=0.3333 Z in Z in =33.3+23.6i; Y in =0.02-0.0141i g { g } G { g } Smith Chart with Impedance and Admittance Coordinates for: Swartz Figure 1: Smith chart for line length of Problem 13.8.Figure 1: Smith chart for line length of Problem 13....
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Homework09 - ECE 3030: Electromagnetic Fields and Waves...

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