1
GATE ECE 2012
MCQ (Single Correct Answer)
+1
-0.3
In the following figure, C1 and C2 are ideal capacitors. C1 has been charged to 12 V before the ideal switch S is closed at t = 0. The current i(t) for all t is. GATE ECE 2012 Network Theory - Transient Response Question 41 English
A
zero
B
a step function
C
an exponentially decaying function
D
an impulse function
2
GATE ECE 2012
MCQ (Single Correct Answer)
+1
-0.33
The average power delivered to an impedance $(4-j 3) \Omega$ by a current $5 \cos (100 \pi t+100) A$ is
A
$44.2 \mathrm{~W}$
B
$50 \mathrm{~W}$
C
$62.5 \mathrm{~W}$
D
$125 \mathrm{~W}$
3
GATE ECE 2012
MCQ (Single Correct Answer)
+1
-0.3
If $$x\left[ n \right]$$= $${(1/3)^{\left| n \right|}} - {(1/2)^n}u\left[ n \right]$$, then the region of convergence (ROC) of its Z- transform in the Z-plane will be
A
$${1 \over 3} < \left| {z\,} \right| < 3$$
B
$${1 \over 3} < \left| {z\,} \right| < {1 \over 2}$$
C
$${1 \over 2} < \left| {z\,} \right| < 3$$
D
$${1 \over 3} < \left| {z\,} \right|$$
4
GATE ECE 2012
MCQ (Single Correct Answer)
+2
-0.6
The input x(t) and output y(t) of a system are related as y(t) = $$\int\limits_{ - \infty }^t x (\tau )\cos (3\tau )d\tau $$.

The system is

A
time-invariant and stable.
B
stable and not time-invariant.
C
time-invariant and not stable.
D
not time-invariant and not stable.
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