SOLUCION - UNAD Task 3 - Electromagnetic Waves in Bounded Media - ELECTROMAGNETIC THEORY AND WAVES - (202087724A_2204)

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Activity

 

1.   Answers: (write with your own words and include references)

a.   What are the propagation mechanisms of electromagnetic waves?

b.   What is meant by reflection, refraction and diffraction of electromagnetic waves?

c.   What is the purpose of Snell's Law in the study of the propagation of waves?

 

2.   Application exercise: For the development of the following exercises, note that  corresponds to the group number and  to the last 2 digits of the identification number.

 

a.  An electromagnetic wave with power of travels through the air  and collides perpendicularly on a “plane wall” of intrinsic impedance . In the following table calculate the reflected power  and the transmitted power for different values ​​of .

 

 

Figure 1. Propagation of “Oblique Wave” in Finite Media.

Note: The figure presents a perpendicular collision of electromagnetic wave in infinite Wall with power ; part of the power is reflected ( ), while the remainder is transmitted ( ).

 


Table 1. Relationship Between  and .

Air intrinsic impedance [ฮฉ]

Wall intrinsic impedance [ฮฉ]

Reflection coefficient []

Reflactance [%]

Transmittance [%]

Reflected power [mW/m2]

Transmitted power [mW/m2]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Note: the table should present the calculation of the reflected power  and the transmitted power for different values ​​of the wall’s intrinsic impedance . Each student must calculate the reflection coefficient, reflectance, transmittance, reflected and transmitted power for some different values ​​of intrinsic impedance of the wall for subsequent graphing and analysis.

 

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

b.    Interpretation: From table 1, graph using Excel  vs , ¿what happens to the transmitted power when the impedance of the wall  increases? ¿Is it logical? Explain.

 

3.  An electromagnetic wave of  and  is emitted by a generator through the air  and collides perpendicularly on a wall of intrinsic impedance  and 10  thick.

Figure 2. Propagation of “Normal Wave” in Finite Medium.



Note: The figure shows the propagation of a normal wave in a finite medium.

a.        Calculate the coefficient of reflection  and transmission  seen by the generator.

b.        Determine in  and  the power  that is transmitted to the receiver.

c.           Interpretation: according to the concepts explored, explain the meaning of the value obtained for ,  and .

 

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

 

4.   An electromagnetic wave propagates through several mediums as shown in the graph.

Figure 3. Propagation of “oblique wave” in finite media.

Note: The figure shows the propagation of oblique wave in a finite medium.

 


Initially the wave travels through the air and strikes the surface of the sweet water at an angle of   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  (point B).  Comment on the results.

 

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

 

 

5.   Video link URL

 

URL:

 

 

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: // ...

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