1
GATE ECE 2009
MCQ (Single Correct Answer)
+2
-0.6
The Nyquist plot of a stable transfer function G(s) is shown in the figure. We are interested in the stability of the closed loop system in the feedback configuration shown. GATE ECE 2009 Control Systems - Frequency Response Analysis Question 27 English 1 GATE ECE 2009 Control Systems - Frequency Response Analysis Question 27 English 2 The gain and phase margins of G(s) for closed loop stability are
A
6 dB and $$180^\circ $$
B
3 dB and $$180^\circ $$
C
6 dB and $$90^\circ $$
D
3 dB and $$90^\circ $$
2
GATE ECE 2008
MCQ (Single Correct Answer)
+2
-0.6
The impulse response h(t) of a linear time invariant system is given by h(t) = $${e^{ - 2t}}u(t),$$ where u(t) denotes the unit step function.

The frequency response H(ω) of the system in terms of angular frequency 'ω' is given by h( ω)

A
$${1 \over {1 + j2\omega }}$$
B
$${{\sin \omega } \over \omega }$$
C
$${1 \over {2 + j\omega }}$$
D
$${{j\omega } \over {2 + j\omega }}$$
3
GATE ECE 2008
MCQ (Single Correct Answer)
+2
-0.6
The magnitude of frequency response of an underdamped second order system is 5 at 0 rad/sec and peaks to $${{10} \over {\sqrt 3 }}$$ at 5 $$\sqrt 2 $$ rad/sec. The transfer function of the system is
A
$${{500} \over {{s^2} + 10s + 100}}$$
B
$${{375} \over {s2 + 5s + 75}}$$
C
$${{720} \over {s2 + 12s + 144}}$$
D
$${{1125} \over {s2 + 25s + 225}}$$
4
GATE ECE 2008
MCQ (Single Correct Answer)
+2
-0.6
The impulse response h(t) of a linear time invariant system is given by h(t) = $${e^{ - 2t}}u(t),$$ where u(t) denotes the unit step function.

The output of this system to the sinusoidal input x(t) = 2cos(t) for all time 't' is

A
$$0$$
B
$${2^{ - 0.25}}\cos \left( {2t - 0.125\pi } \right)$$
C
$${2^{ - 0.5}}\cos \left( {2t - 0.125\pi } \right)$$
D
$${2^{ - 0.5}}\cos \left( {2t - 0.25\pi } \right)$$
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