Concept explainers
A lossless transmission line having characteristic impedance
(a)
The input impedance to the line seen by the combination of voltage-source and resistor.
Answer to Problem 10.14P
Explanation of Solution
Given:
The characteristic impedance of lossless line is
Concept Used:
For quarter wavelength input impedance is
Calculation:
Although
Plugging value of load impedance and character impedance in above formula
Conclusion:
Hence, the input impedance to the line seen by the voltage-source resistor combination is
(b)
The power dissipated by the load.
Answer to Problem 10.14P
Explanation of Solution
Given:
Concept Used:
Power dissipated by the load is given by
Calculation:
Voltage across input impedance is given by
Plugging value of input
Hence power dissipated by the load is
Conclusion:
Hence,power dissipated by the load is 1.25W.
(c)
The voltage amplitude that appears across the load.
Answer to Problem 10.14P
Explanation of Solution
Given:
Length =
Concept Used:
Calculation:
In the line phasor voltage at any point is given by sum of forward and backward wave
Although
Assume load is located at z = 0 therefore
Hence l =
Thus
So
Using
Therefore, voltage at load is
Conclusion:
Hence voltage amplitude that appears across the load is
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Chapter 10 Solutions
Engineering Electromagnetics
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