From the following graphs of the generalized transfer function 1/s+a, which plot shows a transfer function with a bigger value of a?

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Mr. Dubey

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📊 Control System Engineering

Q. From the following graphs of the generalized transfer function 1/s+a, which plot shows a transfer function with a bigger value of a?

(A) blue plot
(B) red plot
(C) yellow plot
(D) purple plot

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✅ Correct Answer: (D) purple plot

Explanation: as the value of a increases, the inverse laplace transform of the given transfer function suggests that the e-at value is reducing. hence for a higher a, the graph reaches a 0 earlier. from the given figure, the purple plot reaches the steady state faster so purple plot is correct only.

Explanation by: Mr. Dubey

as the value of a increases, the inverse laplace transform of the given transfer function suggests that the e-at value is reducing. hence for a higher a, the graph reaches a 0 earlier. from the given figure, the purple plot reaches the steady state faster so purple plot is correct only.

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