Concept explainers
(a)
The value of output voltage,
(a)
Answer to Problem 61E
The value of output voltage,
Explanation of Solution
Given data:
The input voltage is,
The given diagram is shown in Figure 1.
Calculation:
Mark the loop current
The required diagram is shown in Figure 2.
The conversion of
The conversion of
Hence, the value of the inductor,
The conversion of
The conversion of
Hence, the value of the capacitor,
The expression for output voltage using KVL is given by,
Substitute
Apply Fourier transform to the above expression.
The Fourier transform of
Substitute
Further solve as,
Apply shifting property for
Further solve as,
The inverse Fourier transform for the
The inverse Fourier transform for the
The inverse Fourier transform for the
Substitute
The expression for the output voltage from the figure is given by,
Substitute
Further solve as,
Conclusion:
Therefore, the value of output voltage,
(b)
The value of output voltage,
(b)
Answer to Problem 61E
The value of output voltage,
Explanation of Solution
Given data:
The input voltage is,
Calculation:
The expression for output voltage using KVL is given by,
Substitute
Apply Fourier transform to the above expression.
The Fourier transform of
Substitute
Further solve as,
The inverse Fourier transform for the
The inverse Fourier transform for the
Substitute
The expression for the output voltage from the figure is given by,
Substitute
Further solve as,
Conclusion:
Therefore, the value of output voltage,
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Chapter 17 Solutions
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