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(iv) Starting with a TM mode in a waveguide where H¸ = 0, E̟ #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 waveguide, for instance.) What happens to B, for the TEM mode, 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.

(iv) Starting with a TM mode in a waveguide where H¸ = 0, E̟ #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 waveguide, for instance.) What happens to B, for the TEM mode, 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.

Introductory Circuit Analysis (13th Edition)
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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i just need  last subpart 4th

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,
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