
Concept explainers
(a)
The percentage of the energy incident on the boundary is reflected.

Answer to Problem 12.9P
The percentage of the energy incident on the boundary reflected is
Explanation of Solution
Given:
Two regions with region
Radian frequency of uniform plane wave
Wavelengths in two regions
Concept Used:
Use below formula to calculate the value of reflection coefficient which gives the value of the percentage of the energy incident on the boundary is reflected.
Calculation:
We first use below formula:
So, we have
And with the
The fraction of the incident energy that is reflected is then
(b)
The percentage of the energy incident on the boundary is transmitted.

Answer to Problem 12.9P
The percentage of the energy incident on the boundary transmitted is
Explanation of Solution
Given:
Two regions with region
Radian frequency of uniform plane wave
Wavelengths in two regions
Concept Used:
Use below formula to calculate the value of reflection coefficient which gives the value of the percentage of the energy incident on the boundary is reflected.
Then calculatethe percentage of the energy incident on the boundary transmitted by using formula
Calculation:
We first use below formula.
So, we have
And with the
The fraction of the transmitted energy that is reflected is then
(c)
The standing wave ratio in region

Answer to Problem 12.9P
The standing wave ratio in region
Explanation of Solution
Given:
Two regions with region
Radian frequency of uniform plane wave
Wavelengths in two regions
Concept Used:
Using the below formula to calculate the value of reflection coefficient which gives the value of the percentage of the energy incident on the boundary is reflected.
Use
Calculation:
We first use below formula.
So, we have
And with the
The standing wave ratio is:
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Chapter 12 Solutions
Engineering Electromagnetics
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