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  1. In the signal flow graph of figure the gain C/R will be—


    1. 11/9
    2. 22/15
    3. 24/23
    4. 44/23
Correct Option: D

By using Manson’s gain formula for signal flow graph.
Here,
P1 = 2 × 3 × 4 = 24
P2 = 5
Δ1 = 1
Δ2 = 1 – (– 3) = 4
Δ = 1 – (sum of individual loop T. F.) + (sum of loop transmittance products of all possible pairs)
= 1 – (– 2 – 3 – 4 – 5) + (– 2x – 4)
= 1 + 14 + 8
= 23

T.F. =
C
=
P1Δ1 + P2Δ2
RΔ

=
24 × 1 + 5 × 4
23

=
44
23

Hence alternative (D) is the correct choice.



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