1
GATE ECE 2004
+2
-0.6
Consider the signal flow graph shown in Figure. The gain $$\frac{x_5}{x_1}$$ is
A
$$\frac{1-\left(be\;+\;cf\;+\;dg\right)}{abcd}$$
B
$$\frac{bedg}{1-\left(be\;+\;cf\;+\;dg\right)}$$
C
$$\frac{abcd}{1-\left(be\;+\;cf\;+\;dg\right)\;+\;bedg}$$
D
$$\frac{1-\left(be\;+\;cf\;+\;dg\right)\;+\;bedg}{abcd}$$
2
GATE ECE 2003
+2
-0.6
The signal flow graph of a system is shown in figure. The transfer function $$\frac{C(s)}{R(s)}$$ of the system is
A
$$\frac{6}{s^2+29s+6}$$
B
$$\frac{6s}{s^2+29s+6}$$
C
$$\frac{s(s+2)}{s^2+29s+6}$$
D
$$\frac{s(s+27)}{s^2+29s+6}$$
3
GATE ECE 2001
+2
-0.6
An electrical system and its signal-flow graph representations are shown in Figure (a) and (b) respectively. The values of G2 and H, respectively are
A
$$\frac{Z_3\left(s\right)}{Z_2\left(s\right)+Z_3\left(s\right)+Z_4\left(s\right)},\frac{-Z_3\left(s\right)}{Z_1\left(s\right)+Z_3\left(s\right)}$$
B
$$\frac{-Z_3\left(s\right)}{Z_2\left(s\right)-Z_3\left(s\right)+Z_4\left(s\right)},\frac{-Z_3\left(s\right)}{Z_1\left(s\right)+Z_3\left(s\right)}$$
C
$$\frac{Z_3\left(s\right)}{Z_2\left(s\right)+Z_3\left(s\right)+Z_4\left(s\right)},\frac{Z_3\left(s\right)}{Z_1\left(s\right)+Z_3\left(s\right)}$$
D
$$\frac{-Z_3\left(s\right)}{Z_2\left(s\right)-Z_3\left(s\right)+Z_4\left(s\right)},\frac{Z_3\left(s\right)}{Z_1\left(s\right)+Z_3\left(s\right)}$$
4
GATE ECE 1997
+2
-0.6
In the signal flow graph of Fig. y/x equals
A
3
B
5/2
C
2
D
None of the above
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