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GATE ECE 2008 | Question-79

Statement for Linked Answer Questions 78 and 79:

In the following network, the switch is closed at $t=0$ - and the sampling starts from $t=0$. The sampling frequency is $10 \mathrm{~Hz}$.


The expression and the region of convergence of the z-transform of the sampled signal are

  1. $\frac{5 z}{z-e^{-5}},|z|<e^{-5}$
  2. $\frac{5 z}{z-e^{-0.05}},|z|<e^{-0.05}$
  3. $\frac{5 z}{z-e^{-0.05}},|z|>e^{-0.05}$
  4. $\frac{5 z}{z-e^{-5}},|z|>e^{-5}$
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