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For the signal– flow graph shown in the figure, which one of the following expressions is equal to the transfer function
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G1 1 + G2(1 + G1) -
G2 1 + G1(1 + G2) -
G1 1 + G1 G2 -
G2 1 + G1 G2
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Correct Option: B
when X1 (s) = 0
Forward path gain, P1 = G2
Loop gain, L1 = – G1
L2 = – G1 G2
∆ = 1 – (L1 + L2) + L1 L2
Transfer function,
| = | ||||
| G2 (s) | ∆ |
| = | | ∆1 = 1 | |
| 1 + G1(1 + G2) |
