chap13 004 - 13.13 PROBLEMS 13.37 Problem 13.5 Use trig...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 13.13. PROBLEMS 13.37 Problem 13.5: Use trig identities to prove the final steps leading to ng tan led in (13.18) and jZo cot kd in (13.19). Problem 13.6: Recalling that the reflection coefficient is given by l" = (Z; — Zo)/(ZL + Z0) and that the normalized load for using a Smith Chart is given by zL = ZL/ZD, show that l/zL corresponds to —F, or a 180° rotation on the Smith Chart. Problem 13.7: Pr0ve that the magnitude of the reflection coefficient is less than or equal to one. Problem 13.8: Consider a 50—9 transmission line circuit feeding a 25-0 load. Since the load is not matched to the transmission line impedance of 50 9, if the load were to be directly connected to the input transmission line, then some input power will be reflected back. So we use the circuit shown below. On the left is a transmission line carrying an input signal specified by the amplitude V+ of the forward—going voltage wave on that transmission line. On the right is a load impedance of 25 Q. The. goal is to transfer all of the input power to the 25—9 load impedance. .IIIIIII/lllllllillllllllll V+ ——> z, = so a I’ll/[IIIIIIIIIIII’Il’ll’l Figure 13.39: Open-stub matching of a transmission line to a load. An open-circuit stub tuner is used to match the total impedance of the structure on the right (of the dashed line) to the 50-9 impedance of the transmission line on the left carrying the input signal. You have at your disposal two design parameters: you can choose the lengths 21 along the transmission line and 62, the length of the stub. Assuming that the wavelength of the waves at the frequency of operation is A in all of the transmission lines, you need to specify the lengths £1 and 62 in terms of the wavelength such that the impedance of the structure to the right of the dashed line is exactly 50 Q. You need to design using Smith Charts. Matlab© work: Go to the course website and download the matlab file for the function “smith303.m”. The function “smith303” is called as follows: ...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern