Question

The transfer function $Y\left(s\right)/R\left(s\right)$ of the system shown is

• A. $0$
• B. $\frac{1}{s+1}$
• C. $\frac{2}{s+1}$
• D. $\frac{2}{s+3}$

Answer 1

The correct option is B $\frac{1}{s+1}$

$Q\left(s\right)=P\left(s\right)[\frac{1}{s+1}-\frac{1}{s+1}]=0$

$So,P\left(s\right)=R\left(s\right)-0=R\left(s\right)$

$Y\left(s\right)=\frac{P\left(s\right)}{s+1}=\frac{R\left(s\right)}{s+1}$

$Therefore,\frac{Y\left(s\right)}{R\left(s\right)}=\frac{1}{s+1}$