For the signal – flow graph shown in the figure, which one of the following expression is equal to the transfer function ${\left. {\begin{array}{*{20}{c}} {Y\left( s \right)}\ {\overline {{X_2}\left( s \right)} } \end{array}} \right|_{{X_1}\left( s \right) = 0}}?$

Question

TuteeHUB · Accepted Answer

$\frac{{{G_1}}}{{1 + {G_1}{G_2}}}$

TuteeHUB · Answer

$\frac{{{G_1}}}{{1 + {G_2}\left( {1 + {G_1}} \right)}}$

TuteeHUB · Answer

$\frac{{{G_2}}}{{1 + {G_1}\left( {1 + {G_2}} \right)}}$

TuteeHUB · Answer

$\frac{{{G_2}}}{{1 + {G_1}{G_2}}}$

1.	For the signal – flow graph shown in the figure, which one of the following expression is equal to the transfer function \({\left. {\begin{array}{*{20}{c}} {Y\left( s \right)}\\ {\overline {{X_2}\left( s \right)} } \end{array}} \right\|_{{X_1}\left( s \right) = 0}}?\)
A.	\(\frac{{{G_1}}}{{1 + {G_2}\left( {1 + {G_1}} \right)}}\)
B.	\(\frac{{{G_2}}}{{1 + {G_1}\left( {1 + {G_2}} \right)}}\)
C.	\(\frac{{{G_1}}}{{1 + {G_1}{G_2}}}\)
D.	\(\frac{{{G_2}}}{{1 + {G_1}{G_2}}}\)
Answer» C. \(\frac{{{G_1}}}{{1 + {G_1}{G_2}}}\)

For the signal – flow graph shown in the figure, which one of the following expression is equal to the transfer function \({\left. {\begin{array}{*{20}{c}} {Y\left( s \right)}\\ {\overline {{X_2}\left( s \right)} } \end{array}} \right|_{{X_1}\left( s \right) = 0}}?\)

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