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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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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

This question was posed to me in semester exam.

Question is from Time Response of Control Systems in section Control System Applications of MATLAB

1 Answer

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Best answer
The correct choice is (d) Purple plot

Easiest 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.

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