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Control system miscellaneous

  1. In the signal flow graph of figure given below, the gain C/R will be ______
    1. 44/23
    2. 11/2
    3. 4/23
    4. All of the above
Correct Option: A

Mason gain formula, T =
1
∑ PKK

Gains of loop 1 – 2; Gains of loop 2 – 3
Gains of loop 3 – 4; Gains of loop 4 – 5
loop 1 loop 3 = 8
∆ = 1 + (2 + 3 + 4 + 5) + 8 = 23
∑ PKK = 5 (1 + 3) + 24 = 24
∴ T =
44
23



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