& Model:

$\frac{d{V}_c(t)}{dt}+\frac{1}{RC}{V}_{c(t)}=\frac{1}{RC}E(t)$

Assuming zero initial value, obtain the transfer

function of the model.

Perform Step Response for:

i$.R=2K,C=0\mathrm{.}01F$

ii$.R=2\mathrm{.}5K,C=0\mathrm{.}003F$

Calculate time constant for both cases

from the graph, check if time constants match the

calculated ones. Time constant is $63\%$ of steady state.$($for matlab$)$