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The activity consists of: develop the following 8 steps.
Step 1: Explore the academic resource described in the next section of this document called “Activity”.
Step 2: Download the “Annex 2” found in the Learning Environment in the “Activity Guide and Evaluation Rubric - Task 2 - Electromagnetic waves in bounded media” folder.
Step 3: Individually, based on the exploration performed, answer the questions proposed in the next section “Activity”.
Step 4: Individually, based on the exploration performed, solve the 3 proposed application exercises. You can share your questions in the "Task 2" forum or in the groups generated by the tutor (Teams).
Step 5: Create a video of maximum 5 minutes, where you conceptually explain the
procedure and the meaning of the results obtained in the development of any of the
exercises developed.
In the video, use the camera, always show your face, and expose the development of the work using the delivery format. At the beginning of the video, clearly show your identification document for 4 seconds by hiding the number. Use a video server (YouTube, Loom, etc.) in non-public mode and create a link that you must attach in the delivery format. If the student does not use the camera or does not identify himself correctly, the video will not be accepted.
Step 7: In the 3 days before the closing of the activity, submit their final work in PDF format in the Evaluation Environment.
2
Remember: Each student, within the development of the current period, must participate in an international event, free or paid, related to her study program. As evidence you must present in the final activity "Post task" the certificate of participation and the summary of at least 3 presentations of the event, each summary must use 1 sheet and its value will be 20 points.
Activity
For the development of this activity, explore in the Knowledge Environment, in “Unit 2”, the bibliographical reference of Chen, W. (2005) and Wiley, J. & Sons Ltd. (2013), supplement with the aids generated by the tutor within the forum, to solve the following consultation and application exercises:
Questions: (write with your own words)
1. What are the propagation mechanisms of electromagnetic waves?
2. What is meant by reflection, refraction and diffraction of electromagnetic waves?
3. What is the purpose of Snell's Law in the study of the propagation of waves?
Application exercise:
For the development of the following exercises, note that GG corresponds to the group number and CC to the last 2 digits of the identification number.
1.
Figure 1: Perpendicular collision of wave in infinite wall.
An electromagnetic wave with power of 𝑃1+=100𝑚𝑊/𝑚2 travels through the air (𝜂1=120𝜋 𝛺≅377𝛺) and collides perpendicularly on a “plane wall” of intrinsic impedance 𝜂2. In the following table calculate the reflected power 𝑃1− and the transmitted power 𝑃2+ for different values of 𝜂2.
Table 1: relationship between 𝜂2 and 𝑃2+
Air intrinsic impedance [Ω]
Wall intrinsic impedance [Ω]
Reflection coefficient []
Reflactance [%]
Transmittance [%]
Reflected power [mW/m2]
Transmitted power [mW/m2]
𝜂1
𝜂2
𝛤=𝜂2−𝜂1𝜂2+𝜂1
𝑅=|𝛤|2
𝑇=1−𝑅
𝑃1−=𝑃1+∗𝑅
𝑃2+=𝑃1+∗𝑇
377
CC+100
377
3(CC+100)
377
6(CC+100)
3
Interpretation: From table 1, graph using Excel 𝜂2 vs 𝑃2+, what happens to the transmitted power 𝑃2+ when the impedance of the wall 𝜂2 increases? It is logical? Explain.
2.
An electromagnetic wave of 𝑓=𝐺𝐺 𝑀𝐻𝑧 and 𝑃1+=100𝑚𝑊/𝑚2 is emitted by a generator through the air (𝜂𝑎𝑖𝑟=120𝜋 𝛺≅377𝛺) and collides perpendicularly on a wall of intrinsic impedance 𝜂𝑤𝑎𝑙𝑙=(𝐶𝐶+10)𝛺 and 10𝑐𝑚 thick.
Figure 2: Propagation of “normal wave” in finite medium.
a.
Calculate the coefficient of reflection 𝚪 and transmission 𝝉 seen by the generator.
b.
Determine in [%] and [𝑚𝑊/𝑚2] the power 𝑷𝒕 that is transmitted to the receiver.
Attention, for the calculations:
1.
Replace your values (with units) in the equations.
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
Interpretation: according to the concepts explored, explain the meaning of the value obtained for Γ, 𝜏 and 𝑃𝑡.
3.
An electromagnetic wave propagates through several mediums as shown in the graph.
4
Figure 3: Propagation of “oblique wave” in finite media.
Initially the wave travels through the air and strikes the surface of the glass at an angle of 𝜃𝑎=(𝐶𝐶2+10)𝑜 with the surface (point A). Using Snell's Law, calculate step by step the total path of the wave until you find the value of the angle 𝜃𝑏 (point B).
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