Use the results of Prob. 7-18 and let the…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Question

Use the results of Prob. 7-18 and let the unperturbed guide be loss-free, so that In the perturbed guide, let

And show that

If Z = the intrinsic impedance of metal walls, the above formula for a is the approximation that we have been using to calculate attenuation in metal waveguides.

Prob. 7-18

Consider the perturbation of the walls of a waveguide from a perfect conductor to an impedance sheet Z such that

Represent the unperturbed and perturbed fields as in Prob. 7-15, and show that

Prob. 7-15

Suppose that a waveguide is filled with lossy material, and consider a perturbation of its perfectly conducting walls. Represent the unperturbed fields (subscript 0) and the perturbed fields (no subscript) by

Note the opposite directions of propagation. Show that the formula corresponding to Eq. (7-29) is

Show that this reduces to Eq. (7-29) in the loss-free case.

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