1
GATE ECE 1994
Subjective
+2
-0
The response of an LCR circuit to a step input is
(a) Over damped
(b) Critically damped
(c) Oscillatory

If the transfer function has

(1) poles on the negative real axis
(2) poles on the imaginary axis
(3) multiple poles on the positive real axis
(4) poles on the positive real axis
(5) multiple poles on the negative real axis

2
GATE ECE 1991
MCQ (Single Correct Answer)
+2
-0.6
A second order system has a transfer function given by $$\mathrm G\left(\mathrm s\right)\;=\;\frac{25}{\mathrm s^2\;+\;8\mathrm s\;+\;25}$$ .If the system, initially at rest is subjected to a unit step input at t = 0, the second peak in response will occur at
A
$$\mathrm\pi\;\sec$$
B
$$\frac{\mathrm\pi}3\;\sec$$
C
$$\frac{2\mathrm\pi}3\;\sec$$
D
$$\frac{2\mathrm\pi}3\;\sec$$
3
GATE ECE 1991
MCQ (Single Correct Answer)
+2
-0.6
A unity feedback control system has the open loop transfer function $$G\left(s\right)\;=\;\frac{4\left(1\;+\;2s\right)}{s^2\left(s\;+\;2\right)}$$ .If the input to the system is a unit ramp, the steady-state error will be
A
$$0$$
B
0.5
C
2
D
Infinity.
4
GATE ECE 1990
MCQ (Single Correct Answer)
+2
-0.6
The steady state error of a stable 'type 0' unity feedback system for a unit step function is
A
0
B
$$\frac1{1+K_p}$$
C
$$\infty$$
D
$$\frac1{K_p}$$
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