1
GATE EE 2015 Set 2
+2
-0.6
The saturation voltage of the ideal op-amp shown below is $$\pm 10\,V.$$ The output voltage $${V_O}$$ of the following circuit in the steady-state is
A
square wave of period $$0.55$$ $$ms.$$
B
triangular wave of period $$0.55$$ $$ms.$$
C
square wave of period $$0.25$$ $$ms.$$
D
triangular wave of period $$0.25$$ $$ms.$$
2
GATE EE 2015 Set 2
Numerical
+1
-0
An open loop control system results in a response of $${e^{ - 2t}}\left( {\sin 5t + \cos 5t} \right)$$ for a unit impulse input. The DC gain of the control system is __________.
3
GATE EE 2015 Set 2
+2
-0.6
The unit step response of a system with the transfer function $$G\left( s \right) = {{1 - 2s} \over {1 + s}}$$ is given by which one of the following waveforms?
A
B
C
D
4
GATE EE 2015 Set 2
+2
-0.6
The following discrete-time equations result from the numerical integration of the differential equations of an un-damped simple harmonic oscillator with state variables $$𝑥$$ and $$𝑦.$$ The integration time step is $$h.$$ $${{{x_{k + 1}} - {x_k}} \over h} = {y_k},\,\,\,\,\,{{{y_{k + 1}} - {y_k}} \over h} = {x_k}$$\$

For this discrete-time system, which one of the following statements is TRUE?

A
The system is not stable for $$h>0$$
B
The system is stable for $$h > {1 \over \pi }$$
C
The system is stable for $$0 < h < {1 \over {2\pi }}$$
D
The system is stable for $${1 \over {2\pi }} < h < {1 \over \pi }$$
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