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Signals and systems electrical engineering miscellaneous

  1. The unit step response of a system with the transfer function
    G(s) =
    1 - 2s
    1 + s

    is given by which one of the following waveforms?
Correct Option: A


Y(s) = G(s) × U(s)

∴ Y(s) =
1 - 2s
.
1
(1 + s)s

Now using partial fraction concept
∴ Y(s) =
A
+
B
(s)(s + 1)

A = 1, B = -3
∴ y(t) = u(t) – 3e–t u(t)
∴ y(t) = (1 – 3e – t) u(t)



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