GATE ECE 2017 Set 2 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2017 Set 2

Numerical

-0

A connection is made consisting of resistance A in series with a parallel combination of resistances B and C. Three resistors of value 10 Ω, 5 Ω, 2 Ω are provided. Consider all possible permutations of the given resistors into the positions A, B, C, and identify the configurations with maximum possible overall resistance, and also the ones with minimum possible overall resistance. The ratio of maximum to minimum values of the resistances (up to second decimal place) is ____________.

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GATE ECE 2017 Set 2

MCQ (Single Correct Answer)

-0.3

The input x(t) and the output y(t) of a continuous time system are related as $$y\left( t \right) = \int\limits_{t - T}^t {x\left( u \right)du.} $$. The system is

Linear and time variant

linear and time invariant

non linear and time variant

nonlinear and time invariant

GATE ECE 2017 Set 2

Numerical

-0

The transfer function of a causal LTI system is H(s) = 1/s. If the input to the system is x(t) = $$\left[ {\sin (t)/\pi t} \right]u(t);$$ where u(t) is a unit step function. The system output y(t) as $$t \to \infty $$ is _____________________.

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GATE ECE 2017 Set 2

Numerical

-0

Consider the parallel combination of two LTI systems shown in the figure. GATE ECE 2017 Set 2 Signals and Systems - Continuous Time Linear Invariant System Question 6 English

GATE ECE 2017 Set 2 Signals and Systems - Continuous Time Linear Invariant System Question 6 English

The impulse responses of the systems are

$${h_1}(t) = 2\delta (t + 2)\, - 3\delta (t + 1)$$
$${h_2}(t) = \delta (t - 2)$$
If the input x(t) is a unit step signal, then the energy of y(t) is__________________.

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