Concept explainers
(a)
Find the Inverse Fourier transform of
(a)
Answer to Problem 28P
The Inverse Fourier transform of
Explanation of Solution
Given data:
Formula used:
Consider the general form of inverse Fourier transform of
Calculation:
Substitute
Conclusion:
Thus, the Inverse Fourier transform of
(b)
Find the Inverse Fourier transform of
(b)
Answer to Problem 28P
The Inverse Fourier transform of
Explanation of Solution
Given data:
Calculation:
Substitute
Conclusion:
Thus, the Inverse Fourier transform of
(c)
Find the Inverse Fourier transform of
(c)
Answer to Problem 28P
The Inverse Fourier transform of
Explanation of Solution
Given data:
Calculation:
Substitute
Simplify the equation as follows.
Conclusion:
Thus, the Inverse Fourier transform of
(d)
Find the Inverse Fourier transform of
(d)
Answer to Problem 28P
The Inverse Fourier transform of
Explanation of Solution
Given data:
Here,
Calculation:
Modify equation (1) as follows.
Substitute
Let
Consider
Substitute
Take partial fraction for the equation.
Where
Substitute
Similarly,
Substitute
Substitute
Substitute
Apply inverse Fourier transform on both sides of equation.
As
Apply inverse Fourier transform on both sides of equation.
Substitute
Conclusion:
Thus, the Inverse Fourier transform of
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Chapter 18 Solutions
Fundamentals of Electric Circuits
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