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Control system miscellaneous

  1. The transfer function
    V2(s)
    of the circuit shown below is
    V1(s)

    1. 0.5s + 1
      s + 1
    2. 3s + 6
      s + 2
    3. s + 2
      s + 1
    4. s + 1
      s + 2

Correct Option: D


By voltage division rule

v2(s) = R +
1
sV1(s)
1 +
1
+
1
cscs

v2(s)
= 10 × 103 +
1
=
104 + (104 / s)
100 × 10-6 s
v1(s)10 × 103 +
2
104 + 11
100 × 10-6 s

v2(s)
=
(s + 1)
v1(s)(s + 2)



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