1
GATE EE 2006
MCQ (Single Correct Answer)
+2
-0.6
A generator is connected through a $$20$$ MVA, $$13.8/138$$ kV step up transformer, to a transmission line. At the receiving end of the line a load is supplied through a step down transformer of $$10$$ MVA, $$138/69$$ kV rating. A $$0.72$$ p.u. load, evaluated, on load side transformer ratings as base values of $$10$$ MVA and $$69$$ kV in load circuit, the value of the load (in per unit) in generator circuit will be
A
$$36$$
B
$$1.44$$
C
$$0.72$$
D
$$0.18$$
2
GATE EE 2006
MCQ (Single Correct Answer)
+2
-0.6
The discrete-time signal $$$x\left[n\right]\leftrightarrow X\left(z\right)={\textstyle\sum_{n=0}^\infty}\frac{3^n}{2+n}z^{2n}$$$ where $$\leftrightarrow$$ denote a transform-pair relationship, is orthogonal to the signal
A
$$y_1\left[n\right]\leftrightarrow Y_1\left(z\right)={\textstyle\sum_{n=0}^\infty}\left(\frac23\right)^nz^{-n}$$
B
$$y_2\left[n\right]\leftrightarrow Y_2\left(z\right)={\textstyle\sum_{n=0}^\infty}\left(5^n-n\right)z^{-\left(2n+1\right)}$$
C
$$y_3\left[n\right]\leftrightarrow Y_3\left(z\right)={\textstyle\sum_{n=-\infty}^\infty}2^{-\left|n\right|}z^{-n}$$
D
$$y_4\left[n\right]\leftrightarrow Y_4\left(z\right)=2z^{-4}\;+\;3z^{-2}+1$$
3
GATE EE 2006
MCQ (Single Correct Answer)
+2
-0.6
A discrete real all pass system has a pole at $$z = 2\angle {30^ \circ };\,$$ it, therefore,
A
also has a pole at $$1/2\angle {30^ \circ }$$
B
has a constant phase response over the $$z$$-plane: $$\arg |H\left( z \right)| = const$$
C
is stable only if it is anticausal
D
has a constant phase response over the unit circle: $$\arg |H\left( {{e^{j\Omega }}} \right)| = const$$
4
GATE EE 2006
MCQ (Single Correct Answer)
+2
-0.6
A continuous-time system is described by $$y\left( t \right) = {e^{ - |x\left( t \right)|}},$$ where $$y(t)$$ is the output and $$x(t)$$ is the input. $$y(t)$$ is bounded
A
only when $$x(t)$$ is bounded
B
only when $$x(t)$$ is non-negative
C
only for $$t \ge 0$$ if $$x(t)$$ is bounded for $$t \ge 0$$
D
even when $$x(t)$$ is not bounded
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12