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Can you explain the answer of this question below:

The sum of the gains of the feedback paths in the signal flow graph shown in fig. is

A: af + be + cd
B: af + be + cd+
abef + bcde
C: af + be + cd + abef + abcdef
D: af + be + cd + cbef + bcde + abcdef
The answer is a.
Verified Answer
Can you explain the answer of this question below:... moreThe sum of t...
  • Any feedback path is considered as a valid feedback path if it does not touches any single node twice in its path.
  • Feedback paths in the above diagram are af, be, cd, abef, bcde, and abcdef.
  • abef is not a valid feedback path because node 'Q' is repeated twice in the path.
  • bcde is not a valid feedback path because node 'R' is repeated twice in the path.
  • abcdef is not a valid feedback path because node 'Q' and 'R' is repeated twice in the path.
So, af, be and cd are the only valid feedback paths. The sum of the gains of the feedback paths in the signal flow graph is af + be + cd.
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Most Upvoted Answer
Can you explain the answer of this question below:... moreThe sum of t...
Answer is B...because only 3 loops are present ...Loop means it must reach to start position without intersecting the path ....so how will the answer be (A)????
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Community Answer
Can you explain the answer of this question below:... moreThe sum of t...
Answer is A,first af+be+cd is common,in this case feedback two loops are there in a one point first we consider af,multiply with be.next the loop be multiply with cd,so the answer is af+be+cd+abef+bcde
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