Concept explainers
(a) Determine s on the transmission line of Figure 10.32. Note that the dielectric is air. (b) Find the input impedance. (c) If
Figure 10.32 See Problem 10.20.
(a)
The value ofs on the transmission line.
Answer to Problem 10.20P
The value of son the transmission line is 2.
Explanation of Solution
Given:
The given figure is shown below.
Concept Used:
The term s is calculated by
Calculation:
The reflection coefficient is
The magnitude of the reflection coefficient is,
The standing wave ratio is calculated as
Conclusion:
The value of s in the transmission line is 2.
(b)
The input impedance.
Answer to Problem 10.20P
The input impedance of the transmission line is
Explanation of Solution
Given:
The given figure is shown below.
Concept Used:
The input impedance is calculated by
Calculation:
The input impedance of the transmission line is calculated as
Let
Conclusion:
The input impedance of the transmission line is
(c)
The source current
Answer to Problem 10.20P
The source current is
Explanation of Solution
Given:
Calculation:
The source current is calculated by
Let
Conclusion:
Thus, the source current is
(d)
The value of L which produces maximum value for
Answer to Problem 10.20P
The value of L which produces maximum value for
Explanation of Solution
Given:
The given circuit is shown below.
Concept Used:
The maximum value of L is calculated by
Calculation:
The magnitude of the source current is,
Differentiating with respect to L,
Conclusion:
The value of L which produces maximum value for
(e)
The average power delivered by the source.
Answer to Problem 10.20P
The average power delivered by the source is,
Explanation of Solution
Given:
The given circuit is shown below.
Concept Used:
The average power is calculated by
Calculation:
Considering the real part only
Average power is calculated as
Conclusion:
Thus, the average power delivered by the source is,
(f)
Average power delivered to ZL.
Answer to Problem 10.20P
The average power delivered to the load is
Explanation of Solution
Given:
Concept Used:
The average power delivered is calculated by
Calculation:
Thus, the total power delivered to the load is
Conclusion:
Thus, the average power delivered to the load is
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Chapter 10 Solutions
Engineering Electromagnetics
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