Concept explainers
a.
Calculate the fundamental frequency
a.
Answer to Problem 1P
The fundamental frequency
Explanation of Solution
Calculation:
Consider that the expression for the fundamental frequency
Substitute
Substitute
Conclusion:
Thus, the fundamental frequency
b.
Calculate the frequency
b.
Answer to Problem 1P
The fundamental frequency
Explanation of Solution
Calculation:
Consider that the expression for the frequency
Substitute
Substitute
Conclusion:
Thus, the fundamental frequency
c.
Calculate the Fourier co-efficient
c.
Answer to Problem 1P
The Fourier co-efficient
Explanation of Solution
Calculation:
For the periodic voltage in part (a), the Fourier co-efficient
Calculate the Fourier co-efficient
Conclusion:
Thus, the Fourier co-efficient
d.
Calculate the Fourier co-efficients
d.
Answer to Problem 1P
The Fourier co-efficients
Explanation of Solution
Calculation:
For the periodic voltage in part (a), the Fourier co-efficient
Calculate the Fourier co-efficient
And
Calculate the Fourier co-efficient
And
The Fourier co-efficient
Calculate the Fourier co-efficient
Calculate the Fourier co-efficient
Conclusion:
Thus, the Fourier co-efficients
e.
Derive the Fourier series expression for the voltage
e.
Answer to Problem 1P
The Fourier series expression of voltage
Explanation of Solution
Calculation:
Write the Fourier series expression of voltage
Write the Fourier series expression of voltage
Conclusion:
Thus, the Fourier series expression of voltage
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Chapter 16 Solutions
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