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Solved Problems-18

Problems-18
Find the Fourier transform of the sine pulse shown in the adjacent figure and sketch the amplitude and phase spectra.
 
This voltage is applied to a series RL circuit with R = 1 ohm and L = 1.0H. Determine the amplitude and phase spectra for the resulting current, i(t).
 
Solution
Description: 4522.png
 
∴ Description: 4528.png
 
∴ Description: 4534.png

The amplitude and phase spectra are shown.
 
The current in the RL series circuit,
 
Description: 4540.png
 
Description: 4546.png
 
Description: 2036.png
 
Description: 4552.png
 
Description: 4558.png
 
∴ Description: 4564.png
 
and Description: 4572.png
 





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