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1

### GATE EE 2015 Set 2

The unit step response of a system with the transfer function $$G\left( s \right) = {{1 - 2s} \over {1 + s}}$$ is given by which one of the following waveforms?
A
B
C
D
2

### GATE EE 2013

The open-loop transfer function of a $$dc$$ motor is given as $${{\omega \left( s \right)} \over {{V_a}\left( s \right)}} = {{10} \over {1 + 10s}}.$$ When connected in feedback as shown below, the approximate value of $${K_a}$$ that will reduce the time constant of the closed loop system by one hundred times as compared to that of the open-loop system is
A
$$1$$
B
$$5$$
C
$$10$$
D
$$100$$
3

### GATE EE 2011

The response $$h(t)$$ of a linear time invariant system to an impulse $$\delta \left( t \right),$$ under initially relaxed condition is $$h\left( t \right) = \,{e^{ - t}} + {e^{ - 2t}}.$$ The response of this system for a unit step input $$u(t)$$ is
A
$$u\left( t \right) + {e^{ - t}} + {e^{ - 2t}}$$
B
$$\left( {{e^{ - t}} + {e^{ - 2t}}} \right)u\left( t \right)$$
C
$$\left( {1.5 - {e^{ - t}} - 0.5{e^{ - 2t}}} \right)u\left( t \right)$$
D
$${e^{ - t}}\delta \left( t \right) + {e^{ - 2t}}u\left( t \right)$$
4

### GATE EE 2011

A two-loop position control system is shown below.
The gain $$k$$ of the Tacho-generator influences mainly the
A
Peak overshoot
B
Natural frequency of oscillation
C
Phase shift of the closed loop transfer function at very low frequencies $$\left( {\omega \to \infty } \right)$$
D
Phase shift of the closed loop transfer function at very low frequencies $$\left( {\omega \to \infty } \right)$$
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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)

### Joint Entrance Examination

JEE Main JEE Advanced WB JEE

### Graduate Aptitude Test in Engineering

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NEET

Class 12