Assertion (A): The z-transform of the output of the sampler is given by the series.Reason (R): The relationship is the result of the application of z = e^-sT, where T stands for the time gap between the samples.(a) Both A and R are true and R is correct explanation of A(b) Both A and R are true but R is not correct explanationof A(c) A is true but R is false(d) A is false but R is trueThe question was posed to me in homework.I would like to ask this question from The Z-Transfer Function in section Digital Control Systems of Control Systems

Assertion (A): The z-transform of the output of the sampler is given b

1.	Assertion (A): The z-transform of the output of the sampler is given by the series.Reason (R): The relationship is the result of the application of z = e^-sT, where T stands for the time gap between the samples.(a) Both A and R are true and R is correct explanation of A(b) Both A and R are true but R is not correct explanationof A(c) A is true but R is false(d) A is false but R is trueThe question was posed to me in homework.I would like to ask this question from The Z-Transfer Function in section Digital Control Systems of Control Systems
Answer» The correct choice is (c) A is true but R is false For explanation: T is termed as the time of the sampling instant and z TRANSFORM is ALWAYS DEFINED for the instant of the sampling event and this can be as desired by the USER.

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