GATE ECE 2002 | GATE ECE Year Wise Previous Years Questions

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GATE ECE 2002

Subjective

-0

Consider the network in Fig.

(a) Find its short-circuit admittance parameters.
(b) Find the open-ciruit impedance $${Z_{22}}$$.

GATE ECE 2002

MCQ (Single Correct Answer)

-0.3

Which of the following cannot be the Fourier series expansion of a periodic signal?

x(t) = 2cos t + 3 cos 3t

x(t) = 2cos $$\mathrm\pi$$t + 7 cos t

x(t) = cos t + 0.5

x(t) = 2cos 1.5$$\mathrm\pi$$t + sin 3.5 $$\mathrm\pi$$t

GATE ECE 2002

MCQ (Single Correct Answer)

-0.3

The Fourier transform F $$\left\{ {{e^{ - t}}u(t)} \right\}$$ is equal to $${1 \over {1 + j2\pi f}}$$. Therefore, $$F\left\{ {{1 \over {1 + j2\pi t}}} \right\}$$ is

$${e^f}u(f)$$

$${e^{ - f}}$$ u(f)

$${e^f}u(f)$$

$${e^{ - f}}$$u(-f)

GATE ECE 2002

MCQ (Single Correct Answer)

-0.6

The Laplace transform of a continuous - time signal x(t) is $$X\left( s \right) = {{5 - s} \over {{s^2} - s - 2}}$$. If the Fourier transform of tyhis signal exists, then x(t) is

$${e^{2t}}u\left( t \right) - 2\,{e^{ - t}}u\left( t \right)$$

$$ - {e^{2t}}u\left( { - t} \right) + 2\,{e^{ - t}}u\left( t \right)$$

$$ - {e^{2t}}u\left( { - t} \right) - 2\,{e^{ - t}}u\left( t \right)$$

$${e^{2t}}u\left( { - t} \right) - 2\,{e^{ - t}}u\left( t \right)$$

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2023