1
GATE ECE 1996
Subjective
+5
-0
The open circuit impedance matrix $${Z_{OC}}$$ of a three-terminal two-port network with A as the input terminal, B as the output terminal, and C as the common terminal, is given as $$$\left[ {{Z_{OC}}} \right] = \left[ {\matrix{ 2 & 5 \cr 3 & 7 \cr } } \right]$$$

Write down the short circuit admittance matrix $${{Y_{SC}}}$$ of the network viewed as a two-port network, but now taking B as the input terminal, C as the output terminal and A as the common terminal.

2
GATE ECE 1996
MCQ (Single Correct Answer)
+1
-0.3
The trigonometric Fourier series of an even function of time does not have the
A
dc term
B
cosine terms
C
sine terms
D
odd harmonic terms
3
GATE ECE 1996
MCQ (Single Correct Answer)
+1
-0.3
The Fourier transform of a real valued time signal has
A
odd symmetry
B
even symmetry
C
conjugate symmetry
D
no symmetry
4
GATE ECE 1996
MCQ (Single Correct Answer)
+2
-0.6
The inverse Laplace transform of the function $${{s + 5} \over {\left( {s + 1} \right)\left( {s + 3} \right)}}$$ is
A
$$\,2{e^{ - t}}\, - \,{e^{ \to - 3t}}$$
B
$$\,2{e^{ - t}}\, + \,{e^{ \to - 3t}}$$
C
$${e^{ - t}}\, - \,2\,{e^{ - 3t}}\,$$
D
$$\,\,{e^{ - t}}\, + \,2{e^{ - 3t}}$$
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