GATE ECE 2000 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2000

MCQ (Single Correct Answer)

-0.6

A linear time invariant system has an impulse response e^2t, t > 0. If the initial conditions are zero and the input is e^3t, the output for t > 0 is

e^3t - e^2t

e^5t

e^3t + e^2t

None

GATE ECE 2000

MCQ (Single Correct Answer)

-0.3

An amplifier with resistive negative feedback has two left half-plane poles in its open-loop transfer function. The amplifier

will always be unstable at high frequencies

will be stable for all frequencies

may be unstable, depending on the feedback factor

will oscillate at low frequencies

GATE ECE 2000

Subjective

-0

The block diagram of a feedback system is shown in Figure. GATE ECE 2000 Control Systems - Time Response Analysis Question 9 English 1

(a) Find the closed loop transfer function.
(b) Find the minimum value of G for which the step response of the system would exhibit an overshoot, as shown in Figure.
(c) For G equal to twice this minimum value, find the time period T indicated in Figure.

GATE ECE 2000

MCQ (Single Correct Answer)

-0.3

A system described by the transfer function $$$H\left(s\right)=\frac1{s^3+\alpha s^2+ks+3}$$$ is stable. The constraints on $$\alpha$$ and k are,

$$\alpha>0,\;\alpha k<3$$

$$\alpha>0,\;\alpha k\;>\;3$$

$$\alpha\;<\;0,\;\alpha k\;>\;3$$

$$\alpha\;>\;0,\;\alpha k\;<\;3$$

PREVIOUS NEXT

GATE ECE Papers

2024