Question

find Laplace transformation of a full wave rectifier f(t)= Esinwt t is between 0 and pi/w having period pi/w
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Answer 1

Laplace transformation of a full wave rectifier function f(t) = E*sin(wt) with t between 0 and π/w, having a period of π/w, is given by:

F(s) = (2E/w) * [(s) / ($s^2 + w^2$)]

1. The Laplace transform of f(t) = E*sin(wt) can be found using the formula for the Laplace transform of sine function: L{sin(ωt)} = ω / ($s^2 +$ω²).

2. Since the given function has a period of π/w, we need to account for the full wave rectification. This means the negative half of the wave is inverted to become positive.

3. The Laplace transform of the positive half of the wave is (E/w) * [(s) / ($s^2 + w^2$)].

4. Since the negative half of the wave is inverted, we double the Laplace transform of the positive half to get the complete Laplace transform of the full wave rectifier function.

5. Therefore, the Laplace transformation of f(t) = E*sin(wt) with t between 0 and π/w, having a period of π/w, is F(s) = (2E/w) * [(s) / ($s^2 + w^2$)].

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