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1

### GATE EE 1996

For the system shown in Figure, with a damping ratio $$\xi$$ of $$0.7$$ and an undamped natural frequency $${\omega _n}$$ of $$4$$ rad/sec, the values of $$' K '$$ and $$' a '$$ are A
$$K = 4,a = 0.35$$
B
$$K = 8,a = 0.455$$
C
$$K = 16,a = 0.225$$
D
$$K = 64,a = 0.9$$
2

### GATE EE 1996

The unit impulse response of a system is given as $$c\left( t \right) = - 4{e^{ - t}} + 6{e^{ - 2t}}.\,\,\,$$ The step response of the same system for $$\,t \ge 0$$ is equal to
A
$$- 3{e^{ - 2t}} - 4{e^{ - t}} + 1$$
B
$$- 3{e^{ - 2t}} + 4{e^{ - t}} - 1$$
C
$$- 3{e^{ - 2t}} - 4{e^{ - t}} - 1$$
D
$$3{e^{ - 2t}} + 4{e^{ - t}} - 1$$
3

### GATE EE 1991

Fill in the Blanks
A first order system and its response to a unit step input are shown in Fig. below. The system parameters are
$$a=$$ ____________
$$K=$$ ___________ $$a=5$$
$$K=10$$
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#### Questions Asked from Time Response Analysis

On those following papers in Marks 2
Number in Brackets after Paper Indicates No. of Questions
GATE EE 2015 Set 2 (1)
GATE EE 2013 (1)
GATE EE 2011 (2)
GATE EE 2009 (1)
GATE EE 2008 (2)
GATE EE 2007 (3)
GATE EE 2005 (2)
GATE EE 2004 (2)
GATE EE 2003 (3)
GATE EE 2000 (1)
GATE EE 1996 (2)
GATE EE 1991 (1)

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