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  1. The transfer function Eo(s)/Ei(s) of the network is


    1. 1/(sT + 1)22
    2. s22 + sT + 1
    3. 1/s2T2 + 3sT + 1
    4. s2T2 + 3sT + 1
Correct Option: C

KCL at node A, and apply Laplace transform

VA(s) – Ei(s)
+ VA .Cs +
VA – E0(s)
= 0 …(i)
RR

[˙.˙ VB = Eo(s)]
KCL at node B.
E0(s)
+
E0(s) – VA
= 0 …(ii)
1/CsR

from equation (ii)
VA= Eo(s) [RCS + 1] …(iii)
Now by using equations (i) and (iii) and on putting T = RC we get
Eo (s). [Ts + 1] =
Ei(s) + E0(s)
(Ts + 2)

or
or Eo (s). Ts + 1 -
1
=
Ej(s)
Ts + 2(Ts + 2)

or
E0(s)
=
1
Ej(s)T2s2 + 3Ts + 1



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