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Quiz 1S

The document summarizes the solutions to three problems related to rectangular waveguides. In the first problem, the dominant mode is identified as TE01 with a cutoff frequency of 4 GHz, and the nearest mode is TE02. The second problem gives the waveguide dimensions as a < 1.25 cm and b = 0.625 cm, with the TE03 mode having the maximum number of halfwaves. The third problem calculates the dielectric constant as 2.7778 and waveguide dimensions of a = 3 cm and b = 1.5 cm, resulting from a 60% reduction in the lowest cutoff frequency when changing from an air-filled to a dielectric-filled waveguide.

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Mark Jayson
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147 views6 pages

Quiz 1S

The document summarizes the solutions to three problems related to rectangular waveguides. In the first problem, the dominant mode is identified as TE01 with a cutoff frequency of 4 GHz, and the nearest mode is TE02. The second problem gives the waveguide dimensions as a < 1.25 cm and b = 0.625 cm, with the TE03 mode having the maximum number of halfwaves. The third problem calculates the dielectric constant as 2.7778 and waveguide dimensions of a = 3 cm and b = 1.5 cm, resulting from a 60% reduction in the lowest cutoff frequency when changing from an air-filled to a dielectric-filled waveguide.

Uploaded by

Mark Jayson
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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Quiz 1S

ECE 412
Rectangular Waveguide

Name: Beverly Ann M. Gonzales


Important:
Please fill-in the blanks with your answers at the last page (summary of answers).

1. Given:

fc @ TM11 and TE03 12 GHz


fo 20 GHz

Required: Show solutions

a. Identify the dominant mode and the cut-off frequency.

b. Identify the mode which is nearest to the dominant mode

c. Calculate all the possible mode(s). Show solution of all the possible mode(s)

2. Given:

Operating frequency 50 GHz


Cut-off frequency @ dominant mode 16 GHz
Dimension ratio (a/b) Less than 2
εr 2.25

Required: Show solutions

a. waveguide dimension

b. Solve the mode for maximum number of halfwaves.

3. Given:
Lowest cut-off frequency (air filled) 5 GHz
Waveguide dimension a = 2b

Air filled waveguide (dimension of a = 2b) with lowest cut-off freque ncy of 5 GHz.
Using the same waveguide but filled with dielectric of εr, the lowest cut-off
frequency drop to 60%.

Required: Show solutions

a. value of εr

b. waveguide dimension
Fill-in the blanks with your answers here:

Summary of answers

SOLUTIONS ARE AT NEXT PAGE

1. Requirements
a. dominant mode and the cut-off frequency
Dominant mode TE01
Cut-off frequency (GHz) 4 GHz

b. mode nearest to the dominant mode

Mode nearest to the dominant mode TE02

c. List of possible modes


TE01 TE11 TM11
TE02 TE12 TM12
TE03 TE13 TM13
TE04 TE14 TM14
TE10

2. Requirements
a. Waveguide dimension

a (width, cm) < 1.25 cm


b (height, cm) 0.625 cm

b. Mode for maximum number of halfwaves.

Mode (max number of halfwaves) TE03

3. Dielectric value and waveguide dimension

Dielectric εr 2.7778
Waveguide dimension a (cm) = 3 cm
b (cm) = 1.5 cm

SOLUTIONS ARE AT NEXT PAGE

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