1
GATE ECE 1990
MCQ (Single Correct Answer)
+2
-0.6
The transfer function of a simple RC network functioning as a controller is: $${G_c}(s) = {{s + {z_1}} \over {s + {p_1}}}$$

The condition for the RC network to act as a phase lead controller is:

A
$${p_1} < {z_1}$$
B
$${p_1} = 0$$
C
$${p_1} = {z_1}$$
D
$${p_1} > {z_1}$$
2
GATE ECE 1990
Subjective
+10
-0
A system is characterized by the following state-space equations: GATE ECE 1990 Control Systems - State Space Analysis Question 5 English

a) Find the transfer function of the system

b) Compute the state-transition matrix/p>

a) Solve the state equation for a unit-step input under zero initial conditions

3
GATE ECE 1990
MCQ (Single Correct Answer)
+1
-0.3
The number of Boolean functions that can be generated by n variable is equal to:
A
2$$^n$$
B
$${2^2}^n$$
C
2$$^{n - 1}$$
D
2$$^{n + 1}$$
4
GATE ECE 1990
MCQ (Single Correct Answer)
+1
-0.3
The minimum function that can detect a "divisible by 3" 8421 BCD code digit (representation is D8 D4 D2 D1) is given by:
A
$${D_8}\,{D_1}\, + {D_4}\,{D_2}\, + \,\overline {{D_8}} \,{D_2}\,{D_1}$$
B
$${D_8}\,{D_1}\, + {D_4}\,{D_2}\,\overline {{D_1}} \, + \,\overline {{D_4}} \,{D_2}{D_1} + \overline {{D_8}} \,\overline {{D_4}} \,\overline {{D_2}} \,\overline {{D_1}} \,$$
C
$${D_8}\,{D_1}\, + \,{D_4}\,{D_2}\, + \,\overline {{D_8}} \,\overline {{D_4}} \,\overline {{D_2}} \,\overline {{D_1}} \,$$
D
$${D_4}\,{D_2}\,\overline {{D_1}} \, + \,{D_4}\,{D_2}\,{D_1}\, + \,{D_8}\,\overline {{D_4}} \,{D_2}{D_1}$$
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