Convert the block diagram shown in Fig. P3.11 into signal flow graph and obtain following system functions.
\(\begin{array}{llll}\text { (a) } \mathrm{T}_{11}(s)=\frac{\mathrm{Y}_{1}(s)}{\mathrm{R}_{1}(s)} & \text { (b) } \mathrm{T}_{22}(s)=\frac{\mathrm{Y}_{2}(s)}{\mathrm{R}_{2}(s)} & \text { (c) } \mathrm{T}_{12}(s)=\frac{\mathrm{Y}_{1}(s)}{\mathrm{R}_{2}(s)} \quad \text { (d) } \mathrm{T}_{21}(s)=\frac{\mathrm{Y}_{2}(s)}{\mathrm{R}_{1}(s)}\end{array}\)

Transcribed Image Text:

R(s). 1 x -Y(s) 4 10 s + 10 R(s) $+1 15 S X5 Y(s)