GATE ECE 2015 Set 1 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2015 Set 1

MCQ (Single Correct Answer)

-0.6

A plant transfer function is given as $$$G\left(s\right)=\left(K_p+\frac{K_1}s\right)\left(\frac1{s\left(s+2\right)}\right)$$$ . When the plant operates in a unity feedback configuration, the condition for the stability of the closed loop system is

$$K_p>\frac{K_1}2>0$$

$$2K_1>K_p>0$$

$$2K_1\;<\;K_p$$

$$2K_1>K_p$$

GATE ECE 2015 Set 1

MCQ (Single Correct Answer)

-0.3

The popular plot of the transfer function G(s)=$${{10\left( {s + 1} \right)} \over {\left( {s + 10} \right)}}$$ for $$0 \le \omega < \infty $$ will be in the

first quadrant

second quadrant

third quadrant

fourth quadrant

GATE ECE 2015 Set 1

Numerical

-0

A lead compensator network includes a parallel combination of 'R' and 'C' in the feed-forward path. If the transfer function of the compensator is $${G_C}(s) = {{s + 2} \over {s + 4}}.$$ The value of RC is ____

Your input ____

GATE ECE 2015 Set 1

MCQ (Single Correct Answer)

-0.6

The Boolean expression F(X, Y, Z)= $$\overline X Y\overline Z + X\overline {Y\,} \overline Z + XY\overline Z + XYZ$$ converted into the canonical product of sum (POS)from is

$$(x + y + z)(x + y + \overline z )(x + \overline y + \overline z )(\overline x + y + \overline z )$$

$$(x + \overline y + z)(\overline x + y + \overline z )(\overline x + \overline y + z)(\overline x + \overline y + z)$$

$$(x + y + z)(\overline x + y + \overline z )(x + \overline y + z)(\overline x + \overline y + \overline z )$$

$$(x + \overline y + \overline z )(\overline x + y + z)(\overline x + \overline y + z)(x + y + z)$$

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