A plane wave in air with an electric field amplitude of 10 V/m is incident normally upon the surface of a lossless, nonmagnetic medium with = 25. Determine the following: a) The reflection and transmission coefficients b) The standing-wave ratio c) The average power densities of the incident, reflected, and transmitted waves

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**Topic: Electromagnetic Wave Incidence on a Medium**

A plane wave in air with an electric field amplitude of 10 V/m is incident normally upon the surface of a lossless, nonmagnetic medium with a relative permittivity (\( \varepsilon_r \)) of 25. Determine the following:

a) The reflection and transmission coefficients  
b) The standing-wave ratio  
c) The average power densities of the incident, reflected, and transmitted waves  

**Discussion:**

- **Reflection and Transmission Coefficients:** These coefficients describe how much of the electromagnetic wave is reflected back into air and how much is transmitted into the medium.
  
- **Standing-Wave Ratio (SWR):** It represents the amplitude variation of the wave along the medium, revealing points of maximum and minimum amplitude.

- **Average Power Densities:** These are the power per unit area carried by the incident, reflected, and transmitted waves, respectively.

The problem assumes familiarity with concepts such as Snell's Law and electromagnetic wave equations. This forms a crucial part of understanding wave behavior at the boundary between two different media.
Transcribed Image Text:**Topic: Electromagnetic Wave Incidence on a Medium** A plane wave in air with an electric field amplitude of 10 V/m is incident normally upon the surface of a lossless, nonmagnetic medium with a relative permittivity (\( \varepsilon_r \)) of 25. Determine the following: a) The reflection and transmission coefficients b) The standing-wave ratio c) The average power densities of the incident, reflected, and transmitted waves **Discussion:** - **Reflection and Transmission Coefficients:** These coefficients describe how much of the electromagnetic wave is reflected back into air and how much is transmitted into the medium. - **Standing-Wave Ratio (SWR):** It represents the amplitude variation of the wave along the medium, revealing points of maximum and minimum amplitude. - **Average Power Densities:** These are the power per unit area carried by the incident, reflected, and transmitted waves, respectively. The problem assumes familiarity with concepts such as Snell's Law and electromagnetic wave equations. This forms a crucial part of understanding wave behavior at the boundary between two different media.
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