GATE ECE 2014 Set 1 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2014 Set 1

MCQ (Single Correct Answer)

-0.3

$$C$$ is a closed path in the $$z-$$plane given by
$$\left| z \right| = 3.$$ The value of the integral
$$\oint\limits_c {{{{z^2} - z + 4j} \over {z + 2j}}dz} $$ is

$$ - 4\pi \left( {1 + j2} \right)$$

$$4\pi \left( {3 - j2} \right)$$

$$ - 4\pi \left( {3 + j2} \right)$$

$$4\pi \left( {1 - j2} \right)$$

GATE ECE 2014 Set 1

MCQ (Single Correct Answer)

-0.6

A system is described by the following differential equation, where $$u(t)$$ is the input to the system and $$y(t)$$ is the output of the system. $$$\mathop y\limits^ \bullet \left( t \right) + 5y\left( t \right) = u\left( t \right)$$$

When $$y(0)=1$$ and $$u(t)$$ is a unit step function, $$y(t)$$ is

$$0.2 + 0.8{e^{ - 5t}}$$

$$0.2 - 0.2{e^{ - 5t}}$$

$$0.8 + 0.2{e^{ - 5t}}$$

$$0.8 - 0.8{e^{ - 5t}}$$

GATE ECE 2014 Set 1

MCQ (Single Correct Answer)

-0.3

Consider the configuration shown in the figure which is a portion of a larger electrical network

GATE ECE 2014 Set 1 Network Theory - Network Elements Question 31 English

For R = 1 Ω and currents i₁ = 2A, i₄ = -1A, i₅ = -4A, which one of the following is TRUE?

i₆ = 5 A

i₃ = -4 A

Data is sufficient to conclude that the supposed currents are impossible

Data is insufficient to identify the current i₂,i₃ and i₆.

GATE ECE 2014 Set 1

Numerical

-0

A Y-network has resistances of 10Ω each in two of its arms, while the third arm has a resistance of 11Ω in the equivalent ∆ − network, the lowest value (in Ω) among the three resistances is ______________.

Your input ____

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