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Homework09

# Homework09 - ECE 3030 Electromagnetic Fields and Waves Fall...

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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. Γ L = 25 - 50 25 + 50 = - 1 3 = Γ( z = 0) = Γ L = - 1 3 Z n ( z = 0) = Z L Z 0 = 1 2 Y n ( z = 0) = 1 Z n ( z =0) = 2. Choose 1 = 0 . 098 λ = Y n ( z = - 1 ) = 1 . 0 - j 0 . 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 λ so that Y n ( z = - 2 ) = j 0 . 705. c. For a shorted stub, Z n ( z = 0) = 0 = Y n ( z = 0) = . Choose 2 = 0 . 3478 λ so that Y n ( z = - 2 ) = j 0 . 705. -1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1 -1 -0.8 -0.6 -0.4 -0.2 0 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 -j0.5 j0.5 -j0.5 j0.5 -j0.6 j0.6 -j0.6 j0.6 -j0.6 j0.6 -j0.6 j0.6 -j0.7 j0.7 -j0.7 j0.7 -j0.8 j0.8 -j0.8 j0. 8 -j0.8 j0.8 -j0.8 j0.8 - j 0. 9 j0 . 9 - j 0. 9 j0 . 9 -j1.0 j1.0 -j1.0 j1.0 -j1.0 j1.0 -j1.0 j1.0 -j1. 2 j 1.2 j1.2 - j1. 2 -j1.4 j1.4 j1.4 -j1.4 -j1.6 j1.6 j1.6 -j1.6 -j1.8 j1.8 j1.8 -j1.8 -j2.0 j2.0 j2.0 -j2.0 -j3.0 j3.0 j3.0 -j3.0 -j4.0 j4.0 j4.0 -j4.0 -j5.0 j5.0 j5.0 -j5.0 -j10 j10 -j10 j10 -j20 j20 -j20 j20 -j50 j50 -j50 j50 0.00 0 . 02 0.04 0.06 0.08 0.10 0.12 0.14 0.16 0.18 0.20 0.22 0. 24 0.26 0.28 0.30 0.32 0.34 0.36 0.38 0.40 0.42 0.44 0.46 0.48 Z L | g42 |=0.3333 Z in Z in =33.3+23.6i; Y in =0.02-0.0141i g131 { g42 } g130 { g42 } Smith Chart with Impedance and Admittance Coordinates for: Swartz Figure 1: Smith chart for line length of Problem 13.8. -1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1 -1 -0.8 -0.6 -0.4 -0.2 0 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

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

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