1
GATE ECE 2000
MCQ (Single Correct Answer)
+1
-0.3
An amplifier with resistive negative feedback has two left half-plane poles in its open-loop transfer function. The amplifier
A
will always be unstable at high frequencies
B
will be stable for all frequencies
C
may be unstable, depending on the feedback factor
D
will oscillate at low frequencies
2
GATE ECE 2000
MCQ (Single Correct Answer)
+1
-0.3
A system described by the transfer function $$H\left(s\right)=\frac1{s^3+\alpha s^2+ks+3}$$\$ is stable. The constraints on $$\alpha$$ and k are,
A
$$\alpha>0,\;\alpha k<3$$
B
$$\alpha>0,\;\alpha k\;>\;3$$
C
$$\alpha\;<\;0,\;\alpha k\;>\;3$$
D
$$\alpha\;>\;0,\;\alpha k\;<\;3$$
3
GATE ECE 1998
MCQ (Single Correct Answer)
+1
-0.3
The number of roots of $$s^3\;+\;5s^2\;+\;7s\;+\;3\;=\;0$$ in the left half of the s-plane are
A
$$0$$
B
1
C
2
D
3
4
GATE ECE 1998
MCQ (Single Correct Answer)
+1
-0.3
The open loop transfer function of a unity feedback open-loop system is $$\frac{2s^2+6s+5}{\left(s+1\right)^2\left(s+2\right)}$$. The characteristic equation of the closed loop system is
A
$$2s^2+6s+5=0$$
B
$$\left(s+1\right)^2\left(s+2\right)=0$$
C
$$2s^2+6s+5+\left(s+1\right)^2\left(s+2\right)=0$$
D
$$2s^2+6s+5-\left(s+1\right)^2\left(s+2\right)=0$$
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