1
GATE ECE 2015 Set 3
Numerical
+2
-0
In the circuit shown, the current $${\rm I}$$ flowing through the $$50\,\Omega $$ resistor will be zero if the value of capacitor C (in $$\mu F$$) is ________ . GATE ECE 2015 Set 3 Network Theory - Sinusoidal Steady State Response Question 19 English
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2
GATE ECE 2015 Set 3
MCQ (Single Correct Answer)
+2
-0.6
The ABCD parameters of the following 2-port network are GATE ECE 2015 Set 3 Network Theory - Two Port Networks Question 13 English
A
$$\left[ {\matrix{ {3.5\, + \,j2} & {20.5} \cr {20.5} & {3.5\, - \,j2} \cr } } \right]$$
B
$$\left[ {\matrix{ {3.5\, + \,j2} & {30.5} \cr {0.5} & {3.5\, - \,j2} \cr } } \right]$$
C
$$\,\left[ {\matrix{ {10} & {2 + \,j0} \cr {2 + \,j0} & {10} \cr } } \right]$$
D
$$\left[ {\matrix{ {7\, + \,j4} & {0.5} \cr {30.5} & {7\, - \,j4} \cr } } \right]$$
3
GATE ECE 2015 Set 3
Subjective
+1
-0
The value of $$\sum\limits_{n = 0}^\infty n {\left( {{1 \over 2}} \right)^n}$$ is ________________.
4
GATE ECE 2015 Set 3
Numerical
+2
-0
Let $$\widetilde x\left[ n \right]\, = \,1 + \cos \left[ {{{\pi n} \over 8}} \right]$$ be a periodic signal with period 16. Its DFS coefficients are defined by
$${a_k}$$ = $${1 \over {16}}\sum\limits_{n = 0}^{15} {\widetilde x} \left[ n \right]\exp \left( { - j{\pi \over 8}kn} \right)$$ for all k. The value of the coeffcients $${a_{31}}$$ is _____________________.
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