Concept explainers
(a)
Find the Fourier transform of
(a)
Answer to Problem 23P
The Fourier transform of
Explanation of Solution
Given data:
Formula used:
Consider the general form of Fourier transform of
Consider the scaling property of the Fourier transform.
Calculation:
Find
Conclusion:
Thus, the Fourier transform of
(b)
Find the Fourier transform of
(b)
Answer to Problem 23P
The Fourier transform of
Explanation of Solution
Formula used:
Consider the Time shift property of the Fourier transform.
Consider the scaling property of the Fourier transform.
Calculation:
Find
Conclusion:
Thus, the Fourier transform of
(c)
Find the Fourier transform of
(c)
Answer to Problem 23P
The Fourier transform of
Explanation of Solution
Formula used:
Consider the Modulation property of the Fourier transform.
Calculation:
Find
Conclusion:
Thus, the Fourier transform of
(d)
Find the Fourier transform of
(d)
Answer to Problem 23P
The Fourier transform of
Explanation of Solution
Formula used:
Consider the Time differentiation property of the Fourier transform.
Calculation:
Find
Conclusion:
Thus, the Fourier transform of
(e)
Find the Fourier transform of
(e)
Answer to Problem 23P
The Fourier transform of
Explanation of Solution
Formula used:
Consider the Time integration property of the Fourier transform.
Calculation
Find
Conclusion:
Thus, the Fourier transform of
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Chapter 18 Solutions
Fundamentals of Electric Circuits
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