1
GATE EE 2003
MCQ (Single Correct Answer)
+2
-0.6
A control system with certain excitation is governed by the following mathematical equation $${{{d^2}x} \over {d{t^2}}} + {1 \over 2}{{dx} \over {dt}} + {1 \over {18}}x = 10 + 5{e^{ - 4t}} + 2{e^{ - 5t}}$$\$
The natural time constants of the response of the system are
A
$$2s$$ and $$5s$$
B
$$3s$$ and $$6s$$
C
$$4s$$ and $$5s$$
D
$$1/3s$$ and $$1/6s$$
2
GATE EE 2000
MCQ (Single Correct Answer)
+2
-0.6
A unity feedback system has open-loop transfer function $$G\left( s \right) = {{25} \over {s\left( {s + 6} \right)}}.$$ The peak overshoot in the step-input response of the system is approximately equal to
A
$$5\%$$
B
$$10\%$$
C
$$15\%$$
D
$$20\%$$
3
GATE EE 1996
MCQ (Single Correct Answer)
+2
-0.6
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
$$3{e^{ - 2t}} + 4{e^{ - t}} - 1$$
4
GATE EE 1996
MCQ (Single Correct Answer)
+2
-0.6
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
$$K = 64,a = 0.9$$
GATE EE Subjects
Electromagnetic Fields
Signals and Systems
Engineering Mathematics
General Aptitude
Power Electronics
Power System Analysis
Analog Electronics
Control Systems
Digital Electronics
Electrical Machines
Electric Circuits
Electrical and Electronics Measurement
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