1
GATE ECE 2014 Set 3
Numerical
+2
-0
The steady state error of the system shown in the figure for a unit step input is _______.
2
GATE ECE 2014 Set 3
+1
-0.3
Consider the following block diagram in the figure. The transfer function $$\frac{\mathrm C\left(\mathrm s\right)}{\mathrm R\left(\mathrm s\right)}$$ is
A
$$\frac{G_1G_2}{1+G_1G_2}$$
B
$$G_1G_2\;+\;G_1\;+\;1$$
C
$$G_1G_2\;+\;G_2\;+\;1$$
D
$$\frac{G_1}{1+G_1G_2}$$
3
GATE ECE 2014 Set 3
Numerical
+1
-0
The input $$-3\mathrm e^{2\mathrm t}\;\mathrm u\left(\mathrm t\right)$$, where u(t) is the unit step function, is applied to a system with transfer function $$\frac{s-2}{s+3}$$. If the initial value of the output is -2, then the value of the output at steady state is __________.
4
GATE ECE 2014 Set 3
+2
-0.6
In the root locus plot shown in the figure, the pole/zero marks and the arrows have been removed. Which one of the following transfer functions has this root locus?
A
$$\frac{s+1}{\left(s+2\right)\left(s+4\right)\left(s+7\right)}$$
B
$$\frac{s+4}{\left(s+1\right)\left(s+2\right)\left(s+7\right)}$$
C
$$\frac{s+7}{\left(s+1\right)\left(s+2\right)\left(s+4\right)}$$
D
$$\frac{\left(s+1\right)\left(s+2\right)}{\left(s+4\right)\left(s+7\right)}$$
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