1
GATE EE 2009
+2
-0.6
The following circuit has $$R = 10k\Omega ,\,C = 10\mu F.$$ The input voltage is a sinusoidal at $$50HZ$$ with an $$RMS$$ values of $$10V.$$ Under ideal conditions, the current $${{\rm I}_S}$$ from the source is
A
$$10\pi mA$$ leading by $${90^ \circ }$$
B
$$20\pi mA$$ leading by $${90^ \circ }$$
C
$$10mA$$ leading by $${90^ \circ }$$
D
$$10\pi mA$$ leading by $${90^ \circ }$$
2
GATE EE 2009
+2
-0.6
An ideal op-amp circuit and its input waveform are shown in the figures. The $$o/p$$ wave form of this circuit will be
A
B
C
D
3
GATE EE 2009
+1
-0.3
Errors associated with each respective subsystem $$\,{G_1},\,{G_2}$$ and $${G_3}$$ are $${\varepsilon _1},\,\,{\varepsilon _2}$$ and $${\varepsilon _3}$$. The error associated with the output is :
A
$${\varepsilon _1} - {\varepsilon _2} + {\varepsilon _3}$$
B
$${\varepsilon _1}{\varepsilon _2}/{\varepsilon _4}$$
C
$${\varepsilon _1} + {\varepsilon _2} - {\varepsilon _3}$$
D
$${\varepsilon _1} + {\varepsilon _2} + {\varepsilon _3}$$
4
GATE EE 2009
+1
-0.3
The first two rows of Routh's tabulation of a third order equation are as follows $$\left. {\matrix{ {{s^3}} \cr {{s^2}} \cr } } \right|\matrix{ 2 & 2 \cr 4 & 4 \cr }$$\$
this means there are

A
two roots at $$s$$ $$= \pm j$$ and one root in right half $$s$$ - plane
B
two roots at $$s$$ $$= \pm j2$$ and one root in left half $$s$$ - plane
C
two roots at $$s$$ $$= \pm j2$$ and one root in right half $$s$$ - plane
D
two roots at $$s$$ $$= \pm j$$and one root in left half $$s$$ - plane
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