electromagnetic wave propagation

Activities to develop Each student in the group has to answer the following questions using academic references to support the research: 1. Explain the concept of "loss tangent" applied to electromagnetic wave propagation media, and indicate how it is calculated. 2. According to the "tangent of losses", how can the means of propagation be classified? 3. What concept does each of the means of propagation defined in the previous point have? 4. On what does the propagation velocity of an electromagnetic wave depend? What is the relationship between the speed of propagation and the refractive index of a medium? 5. What is the penetration depth of an electromagnetic wave in a medium and how can I calculate it?

Choose one of the following problems, solve it and share the solution in the forum. Perform a critical analysis on the group members’ contributions and reply this in the forum.

1. A dissipative medium has the following parameters:

 = 3.5  = 2.2  = 1.9 / ,

 and

Find the wavelength and the amount of wavelengths that will penetrate a 10MHz signal. Solution Step 1. variables.

Organize the information provided (Known and unknown

Step 2.

Determine the equations that govern the system. Table 1. Parameters for the solution of the proposed problem.

 = 2 ==√   =   = 2  ≈  2 Step 3.

  10 − ⁄  

[] [ −]    = 8.85×    = 4 × 10− ⁄ [⁄][]  [ ]   [⁄]

, Wavelenght

, Wave number

, Permittivity. , Relative permittivity. , Permittivity of free space (a vacuum). , Permeability. , Relative permeability. , Permeability of free space. , Angular frequency . , Regular or linear frequency , Depth of penetration . , Electrical conductivity

Based on Table 1, calculate: Calculate the permeability Calculate the permittivity Calculate the angular frequency Calculate the wave number Calculate the wavelength Calculate the depth of penetration

− ⁄  = =2.22.×4 × 10   − 76 ×10 ⁄

Step 4.

Analyze