GATE IN 2022 | Question: 27

Question

The signal flow graph of a system is shown. The expression for $Y(s)/X(s)$ is ___________

 

• A. $\frac{2G_{1}(s) G_{2}(s) + 2G_{1}(s) G_{3}(s)} {1 + G_{2}(s) + G_{3}(s)}$
• B. $2 + G_{1}(s) + G_{3}(s) + \frac{G_{2}(s)}{1 + G_{2}(s)}$
• C. $ G_{1}(s) + G_{3}(s) - \frac{G_{2}(s)}{2 + G_{2}(s)}$
• D. $\frac{2G_{1}(s) G_{2}(s) + 2G_{1}(s) G_{3}(s) – G_{1}(s)} {1 + G_{2}(s) + G_{3}(s)}$