1
GATE ECE 2002
+2
-0.6
The transfer function of a system is $$G\left(s\right)\;=\;\frac{100}{\left(s\;+\;1\right)\left(s\;+\;100\right)}$$.For a unit step input to the system the approximate settling time for 2% criterion is
A
100 sec
B
4 sec
C
1 sec
D
0.01 sec
2
GATE ECE 1999
+2
-0.6
If the closed-loop transfer function T(s) of a unity negative feedback system is given by $$T\left(s\right)=\frac{a_{n-1}s+a_n}{s^n+a_1s^{n-1}+.....+a_{n-1}s+a_n}$$\$ then the steady state error for a unit ramp input is
A
$$\frac{a_n}{a_{n-1}}$$
B
$$\frac{a_n}{a_{n-2}}$$
C
$$\frac{a_{n-2}}{a_{n-2}}$$
D
zero
3
GATE ECE 1998
+2
-0.6
The unit impulse response of a linear time invariant system is the unit step function u(t). For t>0, the response of the system ot an excitation e-at u(t), a > 0 will be
A
ae-at
B
(1/a)(1 - e-at)
C
a(1 - e-at)
D
1 - e-at
4
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

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