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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.

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)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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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,
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