1
GATE ECE 2015 Set 2
Numerical
+1
-0
The voltage (VC) across the capacitor (in Volts) In the network shown is ________.

GATE ECE 2015 Set 2 Network Theory - Sinusoidal Steady State Response Question 36 English
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2
GATE ECE 2015 Set 2
MCQ (Single Correct Answer)
+1
-0.3
The 2-port admittance matrix of the circuit shown is given by GATE ECE 2015 Set 2 Network Theory - Two Port Networks Question 30 English
A
$$\left[ {\matrix{ {0.3} & { - 0.2} \cr { - 0.2} & {0.3} \cr } } \right]$$
B
$$\left[ {\matrix{ {15} & { 5} \cr { 5} & {15} \cr } } \right]$$
C
$$\left[ {\matrix{ {3.33} & { 5} \cr { 5} & {3.33} \cr } } \right]$$
D
$$\left[ {\matrix{ {0.3} & { 0.4} \cr { 0.4} & {0.3} \cr } } \right]$$
3
GATE ECE 2015 Set 2
MCQ (Single Correct Answer)
+1
-0.3
The bilateral Laplace transform of a function $$f\left( t \right) = \left\{ {\matrix{ {1\,if\,a \le t \le b} \cr {0\,otherwise} \cr } } \right.$$ is
A
$${{a - b} \over s}\,$$
B
$${{{e^s}\left( {a - b} \right)} \over s}$$
C
$${{{e^{ - as}} - {e^{ - bs}}} \over s}$$
D
$${{{e^{s\left( {a - b} \right)}}} \over s}$$
4
GATE ECE 2015 Set 2
Numerical
+2
-0
Let x(t) = a s(t) +s(-t) with s(t) = $$\beta {e^{ - 4t}}u\left( t \right)$$, where u(t) is unit step function. If the bilateral Laplace transform of x(t) is $$$X\left( S \right)\, = {{16} \over {{S^2} - 16}} - 4 < {\mathop{\rm Re}\nolimits} \left\{ s \right\} < 4;$$$

Then the value of β is ______.

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