1
GATE EE 2014 Set 3
MCQ (Single Correct Answer)
+1
-0.3
A single-input single-output feedback system has forward transfer function $$𝐺(𝑠)$$ and feedback transfer function $$𝐻(𝑠).$$ It is given that $$\left| {G\left( s \right)H\left( s \right)} \right| < 1.$$ Which of the following is true about the stability of the system?
A
The system is always stable
B
The system is stable if all zeros of $$𝐺(𝑠)𝐻(𝑠)$$ are in left half of the $$s$$-plane
C
The system is stable if all poles of $$𝐺(𝑠)𝐻(𝑠)$$ are in left half of the s-plane
D
It is not possible to say whether or not the system is stable from the information given
2
GATE EE 2014 Set 3
MCQ (Single Correct Answer)
+2
-0.6
The magnitude Bode plot of a network is shown in the figure GATE EE 2014 Set 3 Control Systems - Polar Nyquist and Bode Plot Question 17 English

The maximum phase angle $${\phi _m}$$ and the corresponding gain $${G_m}$$ respectively are

A
$$ - {30^ \circ }\,$$ and $$1.73dB$$
B
$$ - {30^ \circ }\,$$ and $$4.77dB$$
C
$$ + {30^ \circ }\,$$ and $$4.77dB$$
D
$$ + {30^ \circ }\,$$ and $$1.73dB$$
3
GATE EE 2014 Set 3
MCQ (Single Correct Answer)
+2
-0.6
Consider the system described by the following state space equations $$$\eqalign{ & \left[ {\matrix{ {{x_1}} \cr {{x_2}} \cr } } \right] = \left[ {\matrix{ 0 & 1 \cr { - 1} & { - 1} \cr } } \right]\left[ {\matrix{ {{x_1}} \cr {{x_2}} \cr } } \right] + \left[ {\matrix{ 0 \cr 1 \cr } } \right]u; \cr & y = \left[ {\matrix{ 1 & 0 \cr } } \right]\left[ {\matrix{ {{x_1}} \cr {{x_2}} \cr } } \right] \cr} $$$

If $$u$$ unit step input, then the steady state error of the system is

A
$$0$$
B
$$1/2$$
C
$$2/3$$
D
$$1$$
4
GATE EE 2014 Set 3
MCQ (Single Correct Answer)
+2
-0.6
Two monoshot multivibrators, one positive edge triggered $$\left( {{M_1}} \right)$$ and another negative edge triggered $$\left( {{M_2}} \right)$$ are connected as shown in figure. GATE EE 2014 Set 3 Digital Electronics - Combinational Circuits Question 7 English

The monoshots $${{M_1}}$$ and $${{M_2}}$$ when triggered produce pulses of width $${{T_1}}$$ and $${{T_2}}$$ respectively, where $${T_1} > {T_2}.$$ The steady state output voltage $${V_0}$$ of the circuit is

A
GATE EE 2014 Set 3 Digital Electronics - Combinational Circuits Question 7 English Option 1
B
GATE EE 2014 Set 3 Digital Electronics - Combinational Circuits Question 7 English Option 2
C
GATE EE 2014 Set 3 Digital Electronics - Combinational Circuits Question 7 English Option 3
D
GATE EE 2014 Set 3 Digital Electronics - Combinational Circuits Question 7 English Option 4
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