A rectangular waveguide is filled with a (non-magnetic) perfect dielectric. The metal is a PEC. X & = 2.25, µ, = 1 a = 4 cm , and b 1 cm. a) Consider a single pure mode, whereby the component of the magnetic field in the z-direction is H,(r)= H, cos(B,x)cos(B,y)ejz Construct an expression for the magnetic field phasor. H(r) where B, = 3n rad/cm and B, = 1.25T rad/cm. You may quote formulae for the eigenvalues of the rectangular Helmholtz Equation without derivation. b) Which mode is this? Suppose a coupler at z = 0 excites the waveguide at a frequency, f= 12 GHz. Con tho modo ribod in (o) (h) pronngoto Evzploin ample
A rectangular waveguide is filled with a (non-magnetic) perfect dielectric. The metal is a PEC. X & = 2.25, µ, = 1 a = 4 cm , and b 1 cm. a) Consider a single pure mode, whereby the component of the magnetic field in the z-direction is H,(r)= H, cos(B,x)cos(B,y)ejz Construct an expression for the magnetic field phasor. H(r) where B, = 3n rad/cm and B, = 1.25T rad/cm. You may quote formulae for the eigenvalues of the rectangular Helmholtz Equation without derivation. b) Which mode is this? Suppose a coupler at z = 0 excites the waveguide at a frequency, f= 12 GHz. Con tho modo ribod in (o) (h) pronngoto Evzploin ample
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...
Related questions
Question
![A rectangular waveguide is filled with a (non-magnetic) perfect dielectric. The metal is a PEC.
X
Z.
& = 2.25, µ, = 1
a = 4 cm , and b 1 cm.
a) Consider a single pure mode, whereby the component of the magnetic field in the z-direction is
H,(F) = H, cos(B,x)cos(B,y)ez
Construct an expression for the magnetic field phasor. H(r)
where B, = 3n rad/cm and B, = 1.25T rad/cm.
You may quote formulae for the eigenvalues of the rectangular Helmholtz Equation without derivation.
b) Which mode is this? (
c) Suppose a coupler at z = 0 excites the waveguide at a frequency, f=12 GHz.
Can the mode described in (a), (b) propagate. Explain.
ample](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F38c5f9af-17fe-4a56-addd-0d33c44399c4%2Fa16f5645-082c-4db8-812b-95fa637011b7%2Fndunu7f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A rectangular waveguide is filled with a (non-magnetic) perfect dielectric. The metal is a PEC.
X
Z.
& = 2.25, µ, = 1
a = 4 cm , and b 1 cm.
a) Consider a single pure mode, whereby the component of the magnetic field in the z-direction is
H,(F) = H, cos(B,x)cos(B,y)ez
Construct an expression for the magnetic field phasor. H(r)
where B, = 3n rad/cm and B, = 1.25T rad/cm.
You may quote formulae for the eigenvalues of the rectangular Helmholtz Equation without derivation.
b) Which mode is this? (
c) Suppose a coupler at z = 0 excites the waveguide at a frequency, f=12 GHz.
Can the mode described in (a), (b) propagate. Explain.
ample
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Introductory Circuit Analysis (13th Edition)](https://www.bartleby.com/isbn_cover_images/9780133923605/9780133923605_smallCoverImage.gif)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
![Delmar's Standard Textbook Of Electricity](https://www.bartleby.com/isbn_cover_images/9781337900348/9781337900348_smallCoverImage.jpg)
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
![Programmable Logic Controllers](https://www.bartleby.com/isbn_cover_images/9780073373843/9780073373843_smallCoverImage.gif)
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
![Introductory Circuit Analysis (13th Edition)](https://www.bartleby.com/isbn_cover_images/9780133923605/9780133923605_smallCoverImage.gif)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
![Delmar's Standard Textbook Of Electricity](https://www.bartleby.com/isbn_cover_images/9781337900348/9781337900348_smallCoverImage.jpg)
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
![Programmable Logic Controllers](https://www.bartleby.com/isbn_cover_images/9780073373843/9780073373843_smallCoverImage.gif)
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
![Fundamentals of Electric Circuits](https://www.bartleby.com/isbn_cover_images/9780078028229/9780078028229_smallCoverImage.gif)
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
![Electric Circuits. (11th Edition)](https://www.bartleby.com/isbn_cover_images/9780134746968/9780134746968_smallCoverImage.gif)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
![Engineering Electromagnetics](https://www.bartleby.com/isbn_cover_images/9780078028151/9780078028151_smallCoverImage.gif)
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,