1
GATE ECE 1990
MCQ (Single Correct Answer)
+2
-0.6

If the Laplace transform of the voltage across a capacitor of value of $$\frac12\;\mathrm F$$ is $$V_C\;\left(s\right)\;=\;\frac{s\;+\;1}{s^3\;+\;s^2\;+\;s\;+\;1}$$ , the value of the current through the capacitor at t = 0+ is

A
0 A
B
2 A
C
$$\frac12\;\mathrm A$$
D
1 A
2
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
3
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
$${1 \over {4\pi \sqrt 2 }}Hz$$
4
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
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