We are going to show that electromagnetic waves can propagate in a rectangular hollow metal tube. Let us consider that the perfectly conductive walls of the tube have length a on the x axis and b on the y axis, so that the waves propagate along the z axis. Let a> b, Supposed that the wave has the form Ē = (E,(z, v), E2(a, v), 0)e!(kz-wt) , (a) What is the dispersion relationship of the problem? (b) For a wave to be transmitted, k ^ 2 2 0 is needed. What is the minimum frequency for transmission? (c) Find the phase velocity and the group velocity of the solutions.

We are going to show that electromagnetic waves can propagate in a rectangular hollow metal tube. Let us consider that the perfectly conductive walls of the tube have length a on the x axis and b on the y axis, so that the waves propagate along the z axis. Let a> b, Supposed that the wave has the form Ē = (E,(z, v), E2(a, v), 0)e!(kz-wt) , (a) What is the dispersion relationship of the problem? (b) For a wave to be transmitted, k ^ 2 2 0 is needed. What is the minimum frequency for transmission? (c) Find the phase velocity and the group velocity of the solutions.

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...

See similar textbooks

Similar questions

how did you know the medium is a good conductor? The question gives us the conductivity but we don't know the permittivity of the medium. The medium is a good conductor if σ >>wε And we don't know ε.
Electromagnetics Given the field D =3zp cos(φ) aφ. Determine DivD at P(p=2.6, φ=1.9, z=-3)
Quèstion 4 Magnetic field intensity of a propagating wave in free space is given by H=0.3 cos(4*10t- 2y) ax V/m the plot of H versus y at time, t = T/1000 AH 0.3- None of these
What will be the electric field associated with an electromagnetic wave having a magnetic field of Hrms=0.25 A/m. The wave is propagating through free space.
The magnetic field along the propagation direction inside a rectangular waveguide with the cross section shown in the figure is H₂ = 3 cos (2.094x10²x) cos (2.618x10²y) cos (6.283×10¹0 t - Bz) 1.2 cm 3 cm The phase velocity V, of the wave inside the waveguide satisfies (A) Vp > C (B) Vp = C (C) 0 < Vp
We consider an electromagnetic wave traveling in a good conductor (skin effect). 1. Prove that a=B 2. Determine the expression of a 3. Prove that after a distance of 1/a the wave loses 85% of its power (or its power density). Ho=4r.107 H/m and so=8.854.1012 F/m
A4
Q3. a) A TEM plane wave propagates in air with a wavelength of 20 = 1.25m and an rms power flux of 1.57μW/m². Its electric field in Cartesian coordinates is E = (Ex, Ey, E₂) = (0, E₁ expj (wt - Box),0)
A uniform plane wave in free space has electric field E, = (2u, + 3u, Je V/m. %3D The magnetic field phasor H, is
Radio waves normally have their E and B fields in specific directions, whereas visible light usually has its E and B fields in random and rapidly changing directions that are perpendicular to each other and to the propagation direction. Can you explain why?
I'm having some diffculities with E&M. Thanks!
Quéstion 5 Waves that move the particles of the medium parallel to the direction in which the waves are traveling are called longitudinal waves transverse waves. combination waves. surface waves. A Moving to another question will save this response. 26°C uao