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If y(t) = 120e^10x(t), then the relation is _________

If y(t) = 120e^10x(t), then the relation is _________

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asked Jul 27, 2021 in Network Theory by Noah (157k points)

If y(t) = 120e^10x(t), then the relation is _________

(a) Dynamic

(b) Static

(c) Memory

(d) Memoryless but not static

I had been asked this question in examination.

This is a very interesting question from Laplace Transform of a Periodic Function in portion Application of the Laplace Transform in Circuit Analysis of Network Theory

network theory
application of the laplace transform in circuit analysis
laplace transform of a periodic function

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1 Answer

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answered Jul 28, 2021 by Jayden (1.1m points)
selected Jul 30, 2021 by Noah

Best answer

Right choice is (b) Static

Best explanation: Given relation, y (t) = 120^10x(t).

The system represented by the above relation is static because the present output of the system as well as memoryless as its present output does not depend on its past input. It is not a dynamic system since the value of the system increases exponentially.

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