1
GATE EE 2007
MCQ (Single Correct Answer)
+2
-0.6
$$R-L-C$$ circuit shown in figure GATE EE 2007 Control Systems - Time Response Analysis Question 5 English

For a step input $${e_{i,}}$$ the overshoot in the output $${e_{0,}}$$ will be

A
$$0,$$ since the system is not under damped
B
$$5\% $$
C
$$16\% $$
D
$$48\% $$
2
GATE EE 2007
MCQ (Single Correct Answer)
+1
-0.3
The system shown in the figure is GATE EE 2007 Control Systems - Routh Hurwitz Stability Question 3 English
A
stable
B
Unstable
C
conditionally stable
D
stable for input $${u_1},$$ but unstable for input $${u_2},$$
3
GATE EE 2007
MCQ (Single Correct Answer)
+2
-0.6
If the loop gain $$K$$ of a negative feedback system having a loop transfer function $$K\left( {s + 3} \right)/{\left( {s + 8} \right)^2}$$ is to be adjusted to induce a sustained oscillation then
A
The frequency of this oscillation must be $$4/\sqrt 3 $$ rad/s
B
The frequency of this oscillation must be $$4$$ rad/s
C
The frequency of this oscillation must be $$4$$ or $$4/\sqrt 3 $$ rad/s
D
suck $$k$$ does not exist
4
GATE EE 2007
MCQ (Single Correct Answer)
+2
-0.6
The system shown in figure below GATE EE 2007 Control Systems - Block Diagram and Signal Flow Graph Question 3 English 1
can be reduced to the form GATE EE 2007 Control Systems - Block Diagram and Signal Flow Graph Question 3 English 2
With
A
$$X = {C_0}s + {C_1},\,\,Y = 1/\left( {{s^2} + {a_0}s + {a_1}} \right),\,z = {b_0}s + {b_1}$$
B
$$X = 1,\,\,Y = \left( {{c_0}s + {c_1}} \right)/\left( {{s^2} + {a_0}s + {a_1}} \right),\,z = {b_0}s + {b_1}$$
C
$$X = {C_1}s + {C_0},\,\,Y = \left( {{b_1}s + {b_0}} \right)/\left( {{s^2} + {a_1}s + {a_0}} \right),\,z = 1$$
D
$$X = {C_1}s + {C_0},\,\,Y = 1/\left( {{s^2} + {a_1}s + {a_0}} \right),\,z = {b_1}s + {b_0}$$
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