GATE ECE 2006 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2006

MCQ (Single Correct Answer)

-0.6

In the two port network shown in the figure below, z₁₂ and z₂₁ are, respectively GATE ECE 2006 Network Theory - Two Port Networks Question 39 English

$$r_0\;and\;\beta\;r_0$$

$$0\;and\;-\beta\;r_0$$

$$0\;and\;\beta\;r_0$$

$$r_0\;and\;-\beta\;r_0$$

GATE ECE 2006

MCQ (Single Correct Answer)

-0.6

A two-port network is represented by ABCD parameters given by $$\left[ {\matrix{ {{V_1}} \cr {{I_1}} \cr } } \right] = \,\left[ {\matrix{ A & B \cr C & D \cr } } \right]\,\left[ {\matrix{ {{V_2}} \cr { - \,{I_2}} \cr } } \right]$$

If port-2 is terminated by $${R_L}$$, the input impedance seen at port-1 is given by

$${{A\, + \,B{R_L}} \over {C + \,D{R_L}}}$$

$${{\,A{R_L} + \,C} \over {B{R_L}\, + D}}$$

$${{\,D{R_L} + \,A} \over {\,B{R_L} + C}}$$

$${{\,B + A{R_L}} \over {D + \,C{R_L}}}$$

GATE ECE 2006

MCQ (Single Correct Answer)

-0.3

Let x(t) $$ \leftrightarrow $$ X($$(j\omega )$$ BE Fourier transform pair. The Fourier Transform of the signal x(5t - 3) in terms of X($$(j\omega )$$ is given as

$${1 \over 5}{e^{ - {{j3\omega } \over 5}}}X\left( {{{j\omega } \over 5}} \right)$$

$${1 \over 5}{e^{{{j3\omega } \over 5}}}X\left( {{{j\omega } \over 5}} \right)$$

$${1 \over 5}{e^{ - j3\omega }}X\left( {{{j\omega } \over 5}} \right)$$

$${1 \over 5}{e^{j3\omega }}X\left( {{{j\omega } \over 5}} \right)$$

GATE ECE 2006

MCQ (Single Correct Answer)

-0.6

Consider the function f(t) having Laplace transform $$F\left( s \right) = {{{\omega _0}} \over {{s^2} + {\omega _0}^2}}\,\,\,\,\,\,{\mathop{\rm Re}\nolimits} \left( s \right) > 0$$

The final value of f(t) would be:

$$ - e\,\,\, - 1 \le f\left( \infty \right) \le 1$$

$$\infty $$

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