1.

Find the laplace transform of the half-wave rectified sine wave.

Answer»

The laplace TRANSFORM of the HALF-WAVE rectified SINE wave is as follows:

L{f(t)} = \frac{1}{(1-e^{-\pi s} ) (s^{2}+1) }

  • The half wave rectified sine curve is represented as :

        f (t) = {  SINT          :(2n+1) π ≤ t ≤ (2n+2) π

                     0             :2nπ ≤ t ≤ (2n+1)π    }

  • Thus, the Laplace transform of f(t) will be :

L{f(t)} = \frac{1}{(1-e^{-\pi s} ) (s^{2}+1) }


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