1
GATE ECE 1990
Subjective
+10
-0
The switch $$S$$ in figure is thrown to position $$'a'$$ at $$t = 0$$. At $$t = 1$$ second, the switch is thrown to position $$'b'$$. Find the current through $${R_2}$$ for $$ t > 1$$ sec. GATE ECE 1990 Network Theory - Transient Response Question 2 English
2
GATE ECE 1990
MCQ (Single Correct Answer)
+2
-0.6
The resonant frequency of this series circuit shown in figure is GATE ECE 1990 Network Theory - Sinusoidal Steady State Response Question 6 English
A
$${1 \over {4\pi \sqrt 3 }}Hz$$
B
$${1 \over {4\pi }}Hz$$
C
$${1 \over {2\pi \sqrt {10} }}Hz$$
D
$${1 \over {4\pi \sqrt 2 }}Hz$$
3
GATE ECE 1990
MCQ (Single Correct Answer)
+2
-0.6
The transfer function of simple RC network functioning as a controller is $$$G\,{}_c\left( s \right)\,\,\,\,{{s + {z_1}} \over {s + {p_1}}}$$$

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

A
p1 < z1
B
p1 = 0
C
p1 = z1
D
p1 > z1
4
GATE ECE 1990
MCQ (Single Correct Answer)
+2
-0.6
The Z-transform of the following real exponential sequence:
x(nT) = $${a^n}$$, nT $$ \ge $$ 0
=0, nT<0, a> 0
gives us by
A
$${1 \over {1 - {z^{ - 1}}}}; \left| z \right| > 1$$
B
$${1 \over {1 - a{z^{ - 1}}}}; \left| z \right| > a$$
C
1 for all z
D
$${1 \over {1 - a{z^{ - 1}}}}; \left| z \right| < a$$
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