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Cavity wall at z = d Eo, Ho Fig. 1 b.

Cavity wall at z = d Eo, Ho Fig. 1 b.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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2- A rectangular waveguide cavity in Fig.1 is essentially a hollow (filled by air) metallic box in the shape of a rectangular prism with side lengths a, b and d along x, y and z axes, respectively, as shown in the figure below. Assume that the closed walls of this cavity are made of perfect conductors. A set of possible electromagnetic field solutions (which can exist within this cavity) has the E phasor in the following form Ē = a,E, sin )sin(ßz) (V/m) Assume that E, is a known real constant. a) Obtain the A phasor for these solutions. b) Determine all possible values of ß in terms of the cavity dimension d by using the boundary condition satisfied by E at the perfectly conducting cavity wall placed at z = d. Cavity wall at z = d a Eo, Ho Fig. 1
Transcribed Image Text:2- A rectangular waveguide cavity in Fig.1 is essentially a hollow (filled by air) metallic box in the shape of a rectangular prism with side lengths a, b and d along x, y and z axes, respectively, as shown in the figure below. Assume that the closed walls of this cavity are made of perfect conductors. A set of possible electromagnetic field solutions (which can exist within this cavity) has the E phasor in the following form Ē = a,E, sin )sin(ßz) (V/m) Assume that E, is a known real constant. a) Obtain the A phasor for these solutions. b) Determine all possible values of ß in terms of the cavity dimension d by using the boundary condition satisfied by E at the perfectly conducting cavity wall placed at z = d. Cavity wall at z = d a Eo, Ho Fig. 1
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