1
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
$$\sqrt {{a^2} + 4b,}$$ $$\sqrt {{a^2} + 4b,}$$
2
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
3
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
4
GATE ECE 2006
+2
-0.6
Consider a unity-gain feedback control system whose open-loop transfer function is G(s)=$${{as + 1} \over {{s^2}}}$$ The value of 'a', so that the system has a phase-margin equal to $$\pi$$/4 is approximately equal to
A
2.40
B
1.40
C
0.84
D
0.74
GATE ECE Subjects
Network Theory
Control Systems
Electronic Devices and VLSI
Analog Circuits
Digital Circuits
Microprocessors
Signals and Systems
Communications
Electromagnetics
General Aptitude
Engineering Mathematics
EXAM MAP
Joint Entrance Examination