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Activity
For
the development of this activity, explore in the Knowledge Environment, in “Unit 3”, the bibliographical reference of Meis, C. (2015) and Joines, W., Bernhard, J., & Palmer, W.
(2012), supplement with the aids generated by the tutor within the forum, to
solve the following consultation and application exercises:
1. Questions:
(write with your own words and include citations in-text)
a. ¿What do you understand by transmission line?
b. Define the electrical parameter of transmission lines: Input impedance
c. Define the electrical parameter of transmission lines: Stationary wave
ratio
d. Define the electrical parameters of transmission lines: Physical length
e. ¿What is the purpose of “Smith's Letter” in the study of transmission
lines?
2. Application exercises: For the development of the
following exercises, note that
I.
A coaxial line (figure 1) has the following
characteristics:
· Geometric parameters:
· Conductor properties: (conductivity)
· Properties of the insulator:
· Applied signal frequency:
Figure 1. Geometrical
parameters in coaxial line.
Note: figure
shows the geometric parameters of a coaxial line.
a.
Calculate the electrical parameters R, L, C and G.
b.
Using the distributed model, calculate the
propagation parameters
c.
Calculate the propagation velocity
d.
Interpretation: According to
the concepts explored, explain the meaning of the value obtained for
Attention, for the
calculations:
1.
Replace your
values (with units) in the equation.
2. Write the answer with your units.
3. Perform the operation on a virtual scientific
calculator. *
4. Paste the calculator image into the report.
If the image is
not included, the exercise rating is 0 points.
* You can use https://www.geogebra.org/scientific
e.
According to the value of Zo, a and b, select the
most approximate type of coaxial from table 1 and do a little research on
it. Justify your answer. Include references.
Table 1. Common coax types and
Features.
|
Type |
Zo [ฮฉ] |
a [mm] |
b [mm] |
|
RG-6/U |
75 |
0.58 |
2.34 |
|
RG-8/U |
50 |
1.08 |
3.60 |
|
RG-11/U |
75 |
0.82 |
3.60 |
|
RG-58/U |
50 |
0.45 |
1.45 |
|
RG-59/U |
75 |
0.40 |
1.81 |
Note: The table shows a list of
five commercial coaxial cable references with their respective intrinsic
impedances, center conductor radius, and center insulator radius.
II. A
a. Input impedance
b. Reflection coefficient
c. VSWR.
d. Interpretation: According to the concepts
explored, explain the meaning of the value obtained for
Figure 2. Graphic representation of the
transmission line.
Note: Figure presents the Graphic representation of the transmission
line.
Attention, for the
calculations:
1.
Replace your
values (with units) in the equation.
2. Write the answer with your units.
3. Perform the operation on a virtual scientific
calculator. *
4. Paste the calculator image into the report.
If the image is
not included, the exercise rating is 0 points.
* You can use https://www.geogebra.org/scientific
III. Smith Chart Simulation and Verification.
To validate the analytical results obtained in point 2, you must use an online
Smith Chart simulator. For this
activity, the recommended tool is: https://onlinesmithchart.com/. This simulator is web-based, intuitive, and does not require
installation, making it ideal for visualizing impedance transformations and
verifying transmission line parameters.
Using the simulator, perform the
following tasks:
a.
Enter the characteristic
impedance
b.
Plot the normalized load
impedance and visualize the rotation along the transmission line.
c.
Obtain the following
simulation results:
i.
Input impedance
ii.
Reflection coefficient
iii.
Voltage Standing Wave Ratio (VSWR)
d.
Capture clear screenshots of
each simulation result and attach them to your report as evidence.
e.
Prepare a comparison table
that includes:
i.
Analytical result
ii.
Simulation result
iii.
Absolute and % difference
iv.
Short interpretation
f.
Interpretation: Write a brief paragraph explaining whether the simulated results agree
with the mathematical model and how the Smith Chart helps visualize the
behavior of guided electromagnetic waves.
Figure 3. Smith’s Letter.
Note: A Smith
chart represents complex impedance or admittance in transmission line analysis,
allowing for visualization of impedance matching, reflection coefficients, and transmission
line behavior over a range of frequencies.
References
Reference 1:
Examples of reference formats:
Physical book.
Surname, A.,
& Surname, B. (Year). Title of the book. (pp. xx-xx). City, Country:
Editorial.
Chapter of a physical book.
Surname, A.,
& Surname, B. (Year). Title of the chapter or the entry. Title of the book
(pp. xx-xx). City, Country: Editorial.
EBook.
Surname, A.
(Year). Title of the book. (pp. xx-xx). Country: Editorial. http: // ...
Chapter of an electronic book.
Surname, A.,
& Surname, B. (Year). Title of the chapter or the entry. Title of the book
(pp. xx-xx). City, Country: Editorial. http: // ...
Internet video.
Surname, N.
(Year). Title of the video Video server [Video]. http: // ...
