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• MIGUEL ANGEL AHUMADA

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Post task - Final activity Individual work

Student name: Miguel Ángel Ahumada Segura

Teacher: Omar Leonardo Leyton

Course: 203058A_761

National University Open and Distance UNAD Electronic Engineering May 2020

Introduction In the present work, the corresponding mathematical calculations are carried out for each of the different forms of propagation of the waves in each of the scenarios proposed in this unit, demonstrating it so that the electromagnetic wave fields propagate in the different media, in the time domain.

Application exercises: For the development of the following exercises, note that 𝐺𝐺 corresponds to the group number and 𝐶𝐶𝐶 to the first 3 digits of the identification number. 1. An electromagnetic wave of f =799 MHz is transmitted from the bottom of a ship to a receiver located at p=1 Km depth. The wave is emitted with an advance angle of a=37 ° . Determine the time it takes for the wave to reach the receiver. For development, follow the following steps: a. Calculate the tangent of losses 𝑇𝑎𝑛(𝛿):

𝛆𝐫 [ ] 1

𝛔 [𝐒⁄𝐦]

Material

5.80𝑥107

1. Copper

80

4

2. Sea water 3. Vegetable soil

1.00𝑥10−2

14

4. Dry soil

1.00𝑥10−4

3

5. Sweet water

1.00𝑥10−3

80

𝑇𝑎𝑛(𝛿) =

𝜎 𝜔𝜀

𝑇𝑎𝑛(𝛿) =

𝜎

2𝜋𝑓εrε𝑜

𝑇𝑎𝑛(𝛿) =

4 2𝜋 (799 𝑀𝐻z) (80) (8.8542 x 10−12 )

𝑇𝑎𝑛(𝛿) = 1.125 (𝛿) = 𝑡𝑎𝑛−1 1.125 (𝛿) = 48.37° b. Classify the behavior of the medium:

Me dia 3. Dissipative dielectrics (Dielectrics with losses)

c.

Tan(δ) 0,1 < Tan(δ)