1
GATE EE 2004
MCQ (Single Correct Answer)
+2
-0.6
For the equation, $${s^3} - 4{s^2} + s + 6 = 0$$ the number of roots in the left half of $$s$$ plane will be
A
zero
B
one
C
two
D
three
2
GATE EE 2004
MCQ (Single Correct Answer)
+2
-0.6
A unity feedback system, having an open loop gain becomes stable when $$G\left( s \right)H\left( s \right) = {{K\left( {1 - s} \right)} \over {\left( {1 + s} \right)}}$$
A
$$\left| K \right| > 1$$
B
$$K > 1$$
C
$$\left| K \right| < 1$$
D
$$K < - 1$$
3
GATE EE 2004
MCQ (Single Correct Answer)
+1
-0.3
The Nyquist plot of loop transfer function $$G(s) H(s)$$ of a closed loop control system passes through the point $$(-1,j0)$$ in the $$G(s) H(s)$$ plane. The phase margin of the system is
A
$${0^0}$$
B
$${45^0}$$
C
$${90^0}$$
D
$${180^0}$$
4
GATE EE 2004
MCQ (Single Correct Answer)
+2
-0.6
The open loop transfer function of a unity feedback control system is given as $$G\left( s \right) = {{as + 1} \over {{s^2}}}.$$. The value of $$‘a’$$ to give a phase margin of $${45^0}$$ is equal to
A
$$0.141$$
B
$$0.441$$
C
$$0.841$$
D
$$1.141$$
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