1
GATE ECE 2007
+2
-0.6
The asymptotic Bode plot of a transfer function is shown in the figure. the transfer function G(s) corresponding to this bode plot is
A
$${1 \over {\left( {s + 1} \right)\left( {s + 20} \right)}}$$
B
$${1 \over {s\left( {s + 1} \right)\left( {s + 20} \right)}}$$
C
$${{100} \over {s\left( {s + 1} \right)\left( {s + 20} \right)}}$$
D
$${{100} \over {s\left( {s + 1} \right)\left( {1 + 0.05s} \right)}}$$
2
GATE ECE 2006
+2
-0.6
Consider two transfer functions $${G_1}\left( s \right) = {1 \over {{s^2} + as + b}}$$ and $${G_2}\left( s \right) = {s \over {{s^2} + as + b}}.$$ The 3-dB bandwidths of their frequency responses are, respectively
A
$$\sqrt {{a^2} - 4b,}$$ $$\sqrt {{a^2} + 4b,}$$
B
$$\sqrt {{a^2} - 4b,}$$ $$\sqrt {{a^2} - 4b,}$$
C
$$\sqrt {{a^2} + 4b,}$$ $$\sqrt {{a^2} - 4b,}$$
D
$$\sqrt {{a^2} + 4b,}$$ $$\sqrt {{a^2} + 4b,}$$
3
GATE ECE 2006
+2
-0.6
The Nyquist plot of G(jω)H(jω) for a closed loop control system, passes through (-1,j0) point in the GH plane. The gain margin of the system in dB is equal to
A
infinite
B
greater than zero
C
less than zero
D
zero
4
GATE ECE 2006
+2
-0.6
Consider a unity-gain feedback control system whose open-loop transfer function is G(s)=$${{as + 1} \over {{s^2}}}$$.

With the value of "a" set for phase-margin of $$\pi$$/4, the value of unit-impulse response of the open-loop system at t = 1 second is equal to

A
3.40
B
2.40
C
1.84
D
1.74
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