1
GATE ECE 2017 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Consider a stable system with transfer function $$$G\left(s\right)=\frac{s^p+b_1s^{p-1}+....+b_p}{s^q+a_1s^{q-1}+....+a_q}$$$ Where $$b_1,.......,b_p$$ and $$a_1,.......,a_q$$ are real valued constants. The slope of the Bode log magnitude curve of G(s) converges to -60 dB/decade as $$\omega\rightarrow\infty$$ . A possible pair of values for p and q is
A
p = 0 and q = 3
B
p = 1 and q = 7
C
p = 2 and q = 3
D
p = 3 and q = 5
2
GATE ECE 2017 Set 1
MCQ (Single Correct Answer)
+2
-0.6
The Nyquist plot of the transfer function $$G(s) = {k \over {\left( {{s^2} + 2s + 2} \right)\left( {s + 2} \right)}}$$ does not encircle the point (-1+j0) for K = 10 but does encircle the point (-1+j0) for K = 100. Then the closed loop system (having unity gain feedback) is
A
stable for K = 10 and stable for K = 100
B
stable for K = 10 and unstable for K = 100
C
unstable for K = 10 and stable for K =100
D
unstable for K = 10 and unstable for K = 100
3
GATE ECE 2017 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Which of the following can be the pole-zero configuration of a phase-lag controller (lag compensator)?
A
GATE ECE 2017 Set 1 Control Systems - Compensators Question 17 English Option 1
B
GATE ECE 2017 Set 1 Control Systems - Compensators Question 17 English Option 2
C
GATE ECE 2017 Set 1 Control Systems - Compensators Question 17 English Option 3
D
GATE ECE 2017 Set 1 Control Systems - Compensators Question 17 English Option 4
4
GATE ECE 2017 Set 1
MCQ (Single Correct Answer)
+2
-0.6
Which one of the following gives the simplified sum of products expression for the Boolean function $$F = {m_0} + {m_2} + {m_3} + {m_5},$$ where $$F = {m_0} + {m_2} + {m_3} + {m_5},$$ are minterms corresponding to the inputs A, B and C with A as the MSB and C as the LSB?
A
$$\overline A B + \,\overline A \,\overline B \,\overline C + \,A\overline B \,C$$
B
$$\overline A \,\overline C + \overline A B + A\overline B C$$
C
$$\overline A \,\overline C + A\,\overline B + A\overline B C$$
D
$$\overline A \,BC + \overline A \,\overline C + A\,\overline B C$$
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