GATE ECE 1990 | GATE ECE Year Wise Previous Years Questions

GATE ECE 1990

MCQ (Single Correct Answer)

-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

p₁ < z₁

p₁ = 0

p₁ = z₁

p₁ > z₁

GATE ECE 1990

MCQ (Single Correct Answer)

-0.6

The resonant frequency of this series circuit shown in figure is GATE ECE 1990 Network Theory - Sinusoidal Steady State Response Question 7 English

GATE ECE 1990 Network Theory - Sinusoidal Steady State Response Question 7 English

$${1 \over {4\pi \sqrt 3 }}Hz$$

$${1 \over {4\pi }}Hz$$

$${1 \over {2\pi \sqrt {10} }}Hz$$

$${1 \over {4\pi \sqrt 2 }}Hz$$

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 5 English

GATE ECE 1990

MCQ (Single Correct Answer)

-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

0 A

2 A

$$\frac12\;\mathrm A$$

1 A

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