1
GATE ECE 2003
MCQ (Single Correct Answer)
+2
-0.6
An input voltage $$v(t)$$ $$ = 10\sqrt 2 \,\,\cos \,\,\left( {t + {{10}^0}} \right) + 10\sqrt 5 \,\,\cos \left( {2t + {{10}^0}} \right)\,\,V$$ is applied to a series combination of resistance $$L = 1H$$. the resulting steady - state current $$i(t)$$ in ampere is
A
$$10\cos \left( {t + {{55}^0}} \right) + 10\,\cos \left( {2t + {{10}^0} + {{\tan }^{ - 1}}\,2} \right)$$
B
$$10\cos \left( {t + {{55}^0}} \right) + 10\sqrt {{3 \over 2}} \,\cos \left( {2t + {{55}^0}} \right)$$
C
$$10\cos \left( {t - {{35}^0}} \right) + 10\cos \left( {2t + {{10}^0} - {{\tan }^{ - 1}}\,2} \right)$$
D
$$10\cos \left( {t - {{35}^0}} \right) + 10\sqrt {{3 \over 2}} \,\cos \left( {2t - {{35}^0}} \right)$$
2
GATE ECE 2003
MCQ (Single Correct Answer)
+2
-0.6
The driving-point impedance Z(s) of a network has the pole-zero locations as shown in figure. If Z(0) = 3, then Z(s) is GATE ECE 2003 Network Theory - Two Port Networks Question 26 English
A
$${{3\,(s + 3)} \over {{s^2}\, + \,2s\, + 3}}$$
B
$${{2\,(s + 3)} \over {{s^2}\, + \,2s\, + 2}}$$
C
$${{3\,(s - 3)} \over {{s^2}\, - \,2s\, - 3}}$$
D
$${{2\,(s - 3)} \over {{s^2}\, - \,2s\, - 3}}$$
3
GATE ECE 2003
Subjective
+5
-0
Find the Y-parameters (short ciruit admittance parameters) for the network shown in figure. GATE ECE 2003 Network Theory - Two Port Networks Question 16 English
4
GATE ECE 2003
MCQ (Single Correct Answer)
+1
-0.3
The Laplace transform of i(t) tends to
$$I\left( s \right)\,\, = \,{2 \over {s\left( {1 + s} \right)}}$$

As $$t \to \infty $$ , the value of i(t) tends to

A
0
B
1
C
2
D
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