3. (i) For a 2 cm by 1 cm rectangular waveguide, and a 1 cm radius circular waveguide, find the first three propagating modes starting with the lowest cutoff frequencies. (ii) For the TM modes, show that the homogeneous Dirichlet boundary condition that y, =0 on C, the waveguide wall, all components of the tangential electric field will be %3D zero also. (iii) For the TM mode, starting with that H(r) =Vx ây (r) Find all the components of electromagnetic fields in a rectangular waveguide.

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...
icon
Related questions
Question

i need first 3 subparts a,b,c

3. (i) For a 2 cm by 1 cm rectangular waveguide, and a 1 cm radius circular waveguide,
find the first three propagating modes starting with the lowest cutoff frequencies.
(ii) For the TM modes, show that the homogeneous Dirichlet boundary condition that
W. =0 on C, the waveguide wall, all components of the tangential electric field will be
zero also.
(iii) For the TM mode, starting with that
H(r) = Vx ây (r)
Find all the components of electromagnetic fields in a rectangular waveguide.
(iv) Starting with a TM mode in a waveguide where H, = 0, E, + 0 initially, show that
if this mode becomes a TEM mode so that H, = 0, E̟ =0, then B¸ = B. (This can
happen in a coaxial
and what happens to the Helmholtz equations that w (r) and w,(r) originally satisfy?
Explain why the fields of the TEM mode of a waveguide, if it exists, is electrostatic and
magnetostatic in nature.
veguide, for instance.) What happens to B, for the TEM mode,
Transcribed Image Text:3. (i) For a 2 cm by 1 cm rectangular waveguide, and a 1 cm radius circular waveguide, find the first three propagating modes starting with the lowest cutoff frequencies. (ii) For the TM modes, show that the homogeneous Dirichlet boundary condition that W. =0 on C, the waveguide wall, all components of the tangential electric field will be zero also. (iii) For the TM mode, starting with that H(r) = Vx ây (r) Find all the components of electromagnetic fields in a rectangular waveguide. (iv) Starting with a TM mode in a waveguide where H, = 0, E, + 0 initially, show that if this mode becomes a TEM mode so that H, = 0, E̟ =0, then B¸ = B. (This can happen in a coaxial and what happens to the Helmholtz equations that w (r) and w,(r) originally satisfy? Explain why the fields of the TEM mode of a waveguide, if it exists, is electrostatic and magnetostatic in nature. veguide, for instance.) What happens to B, for the TEM mode,
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Digital Modulation Scheme (Amplitude-Shift Keying [ASK], Phase-Shift Keying [PSK], Frequency-Shift Keying [FSK])
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)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,