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

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

Numerical

-0

In the circuit shown in the figure, the value of capacitor C (in mF) needed to have critically damped response i(t) is ______. GATE ECE 2014 Set 1 Network Theory - Sinusoidal Steady State Response Question 26 English

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GATE ECE 2014 Set 1

Numerical

-0

A periodic variable x is shown in the figure as a function of time. The root - mean - square (rms) value of x is _______ . GATE ECE 2014 Set 1 Network Theory - Sinusoidal Steady State Response Question 27 English

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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 ______________.

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