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In the signal flow graph of figure the gain C/R will be—
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- 11/9
- 22/15
- 24/23
- 44/23
- 11/9
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. = | = | ||
R | Δ |
= | |
23 |
= | |
23 |
Hence alternative (D) is the correct choice.
