SOLUCION - UNAD - ELECTROMAGNETIC THEORY AND WAVES - (202087724A_2204) - Task 2 – Electromagnetic waves in open media

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Activity

1.     Investigate the following concepts by exploring texts or internet sources. Each concept must be explained using your own words. Include the appropriate in-text references.

 

a.

b.

c.

 

2. Application exercise:

The following 4-step exercise describes the method to characterize an electromagnetic wave when propagating in an open environment, for which, each student must choose 1 propagation media of the proposed in Table 1 and announce it within the Phase 2 forum to avoid repetition.  Duplicate selections will be rated with 0 points.

 

 

 

 

 

 

 

 

 

 

Table 1.  Conductivity  and Electrical Permittivity of Some Media.

 

Select	Media		[ ]
☐	1. Copper
☐	2. Sea water
☐	3. Air
☐	4. Vegetable soil
☐	5. Dry soil
☐	6. Sweet water
☐	7. Vacuum

 

 

 

 

 

 

Note: Select one of the seven media.

a)  Calculate the tangent of losses Tan (δ) and the angle of losses δ of the medium chosen in Table 1, if through it travel an electromagnetic wave E of frequency . Note that  are the last 3 digits of your identification number.  Comment on your results.

Tangent of losses:

Angle of losses:

Note that:

 ;     and     

 

 

 

 

 

 

Example:

Equation editor (values and units)

Figure 1.  Calculator Evidence

 

Note: The image shows an example of a mathematical operation done on a scientific calculator which must be added as evidence.

 

Attention, for the calculations:

1. Replace your values (with units) in the equation.

2. Perform the operation on a virtual scientific calculator. *

3. Paste the calculator image into the report.

4. Write the answer with your units.

If the image is not included, the exercise rating is 0 points.

* You can use https://www.geogebra.org/scientific

 

 

 

 

 

b)  According to the result obtained in part (a), classify and select the behavior of the chosen medium according to one of the 5 options.  Comment on your results:

 

Table 2. Classification of Propagation Media.

 

Check	Media		Tan(δ)	δ [°]
☐	Perfect dielectrics	(Not dissipative)	Tan(δ) = 0	δ = 0°
☐	Good insulators	(Lost low dielectric)	0 < Tan(δ) <= 0,1	0° < δ <= 6°
☐	Dissipative dielectrics	(Dielectrics with losses)	0,1 < Tan(δ) <= 10	6° < δ <= 84°
☐	Good conductors	(Good conductors)	Tan(δ) > 10	84°< δ < 90°
☐	Perfect conductors	(Perfect conductors)	Tan(δ) >>> 10	δ = 90°

Note: This table makes a classification of the medium according to the value obtained in the loss angle, the student must indicate the behavior obtained according to their data.

c)  According to the classification obtained in part (b) and using Table 3 shown below, calculate the propagation parameters g, a, b and h of the wave in the chosen medium.  Comment on your results:

Table 3.  Propagation Parameters in Open Media.

Parameter	☐ Not dissipative	☐ Lost low dielectric	☐ Dielectrics with losses	☐ Good conductors
			g)

Note: This table shows the equations necessary to calculate the attenuation, attenuation and phase constant according to the behavior obtained in the previous table. The student must indicate the column of the behavior obtained in the previous step.

 

i.    Propagation constant :    

ii.  Attenuation constant a:    

iii. Phase constant b:            

iv. Refractive index h:           

           

Figure 2.  Calculator Evidence Example.

 

Note: The image shows an example of calculation of the propagation, attenuation and phase constant carried out in Geogebra.

 

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

 

 

d)  According to the results obtained in part (c) and using the following equations, calculate the propagation characteristics of the wave in the chosen medium:

 

       i.            Propagation speed :

  ii.      Wavelength :

 iii.            Penetration depth of the :

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

Figure 3. Add Calculator Evidence

Note: The image shows the use of Geogebra to demonstrate the performance of the requested mathematical operations.

 

e)  Using the following equation, calculate  for some values of frequency  given in Table 4 (Calculator must be in DEGREE mode). Identify and explain how the medium behaves as the frequency increases. use the medium chosen in this activity. Plot the data using Excel or other.  Comment on your results.

 

 

 

 

Table 4. Losses Angle / Media Behavior

		Media behavior
		Elija un elemento.
		Elija un elemento.
		Elija un elemento.
		Elija un elemento.
		Elija un elemento.

 

Note: In the table, the chosen propagation medium must be chosen, the loss angle values ​​and behavior of the medium must be included according to several given frequency values, for subsequent graphing.

 

Figure 4. Excel Example

Note: The image shows an example of a graph of frequency vs loss angle and an example of analysis of the graph.

 

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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