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Solved Problems-20

Problems-20
  1. Find the Fourier transform of the function,
     
    Description: 4978.png
  2. Use the above transform to find the output voltage V0 in the figure.
Description: 1024.png
 
Solution
  1. Fourier transform of the function is,
Description: 4984.png
 
Description: 4990.png Ans.
  1. By KCL, Description: 4996.png
Here, Description: 5002.png (From result of (a) with A = 1 and a = 1)
 
or, Description: 5009.png
 
∴ Description: 5015.png

Taking inverse Fourier transform
 
Description: 5028.png.
 




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