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Concept explainers
(a)
Find the inverse Fourier transform of
(a)
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Answer to Problem 32P
The inverse Fourier transform of
Explanation of Solution
Given data:
Formula used:
Consider the general form of inverse Fourier transform of
Calculation:
Modify equation (1) as follows.
Since
From Reversal property,
Therefore,
Apply inverse Fourier transform to equation (1) as follows.
Conclusion:
Thus, the inverse Fourier transform of
(b)
Find the inverse Fourier transform of
(b)
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Answer to Problem 32P
The inverse Fourier transform of
Explanation of Solution
Given data:
Calculation:
Since
From Reversal property,
Therefore,
Apply inverse Fourier transform to equation (2) as follows.
Conclusion:
Thus, the inverse Fourier transform of
(c)
Find the inverse Fourier transform of
(c)
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Answer to Problem 32P
The inverse Fourier transform of
Explanation of Solution
Given data:
Calculation:
Modify equation (3) as follows.
Substitute
Take partial fraction for the equation.
Find the partial fraction coefficients.
Substitute
Substitute
Apply inverse transform on both sides of equation.
Conclusion:
Thus, the inverse Fourier transform of
(d)
Find the inverse Fourier transform of
(d)
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Answer to Problem 32P
The inverse Fourier transform of
Explanation of Solution
Given data:
Calculation:
Apply inverse Fourier transform to equation (5) as follows.
Conclusion:
Thus, the inverse Fourier transform of
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Chapter 18 Solutions
EBK FUNDAMENTALS OF ELECTRIC CIRCUITS
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- Sketch the phasor diagram of the rms voltage across the inductor vL and rms source VS in the circuit shown below. how would use of an osciloscope help solve this problem?arrow_forwardThe attached waveform VS displayed on the oscilloscope approximate the following quantities.1. The peak voltage.2. The peak-to-peak voltage.3. The frequency of the waveform.4. The difference in time that corresponds to a 72 degree phase shift for this waveform. How would use of an osciloscope aid in solving this problem?arrow_forwardVs -J XcR Wo R²=3JRX < -Xc * Xc = ± Wc How do I make this Vs equation Look? ✓ = 3 + 1 (RWC- RWC) Vo 3+arrow_forward
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