Concept explainers
Two voltage waves of equal amplitude V0 and radian frequency
(a)
An expression for the net voltage wave which is formed by the superposition of the two voltages.
Answer to Problem 10.5P
The expression for the net voltage wave formed by the superposition of the two voltages is given by
Explanation of Solution
Given information:
The amplitude of two voltage waves is equal to
Calculation:
We write the equation of voltage when propagating in the forward
Hence, the expression is given by
In time domain,
Conclusion:
The expression for the net voltage wave formed by the superposition of the two voltages is given by
(b)
An expression for the net current in the line.
Answer to Problem 10.5P
The expression for the net current in the line is
Explanation of Solution
Given information:
The amplitude of two voltage waves is equal to
Calculation:
Use the previously obtained equation to determine the expression for net current in the line.
We previously obtained
(1) Therefore, the net current in the line is given by
Using the equation (1) for voltage here, we get
In time domain,
Conclusion:
The expression for the net current in the line is
(c)
The expression for the average power in the line.
Answer to Problem 10.5P
The expression for the average power in the line is
Explanation of Solution
Given information:
The amplitude of two voltage waves is equal to
Calculation:
We know of the power flow expression
We use this expressionto determine the expression for the average power in the line.
Power flow is given by,
Where, * represents the complex conjugate and Re represents the real part.
Conclusion:
The expression for the average power in the line is
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Chapter 10 Solutions
Loose Leaf For Engineering Electromagnetics
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