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Solved Problems-11

Problems-11
Determine the Laplace transform of the following periodic waveform.
 
Description: Description: 3226.png
Solution
Let, for the first half sine wave, the transform is F1(s).
 
Now, f1(t) = sin tu(t) + sin(t – πu(t – π)
 
Taking Laplace transform,
F1(s) = Description: Description: 7910.png
 
By the theory of periodicity of Laplace transform, the Laplace transform of the full periodic waveform will be,
F(s) = Description: Description: 7916.png
 
Description: Description: 7922.png
 
Description: Description: 7931.png 
 




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