1
GATE ECE 2004
MCQ (Single Correct Answer)
+2
-0.6
The transfer function $$H\left( s \right) = {{{V_0}\left( s \right)} \over {{V_i}\left( s \right)}}$$ of an R-L-C circuit is given by
$$H\left( s \right) = {{{{10}^6}} \over {{s^2} + 20s + {{10}^6}}}$$

The Quality factor (Q-factore) of this circuit is

A
$$25$$
B
$$50$$
C
$$100$$
D
$$5000$$
2
GATE ECE 2004
MCQ (Single Correct Answer)
+2
-0.6
For the lattice circuit shown in Fig., $${Z_a} = j\,2\,\Omega \,\,and\,\,{Z_b} = \,\,2\Omega $$. The values of the open circuit impedance parameters
$$Z\,\left[ {\matrix{ {{Z_{11}}} & {{Z_{12}}} \cr {{Z_{21}}} & {{Z_{22}}} \cr } } \right]\,$$ are GATE ECE 2004 Network Theory - Two Port Networks Question 25 English
A
$$\,\left[ {\matrix{ {1 - j} & {1 + j} \cr {1 + j} & {1 + j} \cr } } \right]$$
B
$$\,\left[ {\matrix{ {1 - j} & {1 + j} \cr {-1 + j} & {1 - j} \cr } } \right]$$
C
$$\,\left[ {\matrix{ {1 + j} & {1 + j} \cr {1 - j} & {1 - j} \cr } } \right]$$
D
$$\,\left[ {\matrix{ {1 + j} & {1 + j} \cr {-1 + j} & {1 + j} \cr } } \right]$$
3
GATE ECE 2004
MCQ (Single Correct Answer)
+2
-0.6
For the circuit shown in Figure, the initial conditions are zeros. Its transfer function $$H(s) = {{{V_c}\,(s)} \over {{V_i}\,(s)}}$$ is GATE ECE 2004 Network Theory - Two Port Networks Question 24 English
A
$${1 \over {{s^2}\, + \,{{10}^6}\,s\, + \,{{10}^6}}}$$
B
$${{{{10}^6}} \over {{s^2}\, + \,{{10}^3}\,s\, + \,{{10}^6}}}$$
C
$${{{{10}^3}} \over {{s^2}\, + \,{{10}^3}\,s\, + \,{{10}^6}}}$$
D
$${{{{10}^6}} \over {{s^2}\, + \,{{10}^6}\,s\, + \,{{10}^6}}}$$
4
GATE ECE 2004
MCQ (Single Correct Answer)
+1
-0.3
The Fourier transform of a conjugate symmetric function is always
A
imaginary
B
conjugate anti-symmetric
C
real
D
conjugate symmetric
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