1.

The block diagram of a system is illustrated in the figure shown, where X(s) is the input and Y(s) is the output. The transfer function \(H\left( s \right) = \frac{{Y\left( s \right)}}{{X\left( s \right)}}\) is

A. \(H\left( s \right) = \frac{{{s^2} + 1}}{{{s^3} + {s^2} + s + 1}}\)
B. \(H\left( s \right) = \frac{{{s^2} + 1}}{{{s^3} + 2{s^2} + s + 1}}\)
C. \(H\left( s \right) = \frac{{s + 1}}{{{s^2} + s + 1}}\)
D. \(H\left( s \right) = \frac{{{s^2} + 1}}{{2{s^2} + 1}}\)
Answer» C. \(H\left( s \right) = \frac{{s + 1}}{{{s^2} + s + 1}}\)


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