1
GATE EE 1999
MCQ (Single Correct Answer)
+2
-0.6
A fixed capacitor of reactance –$$j0.02$$ $$\Omega $$ is connected in parallel across a series combination of a fixed inductor of reactance $$j0.01$$ $$\Omega $$ and a variable resistance $$R.$$ As $$R$$ is varied from zero to infinity, the locus diagram of the admittance of this $$L-C-R$$ circuit will be
A
a semi $$-$$ circle of diameter $$j$$ $$100$$ and center at zero.
B
a semi-circle of diameter $$j$$ $$50$$ and center at zero
C
a straight line inclined at an angle
D
a straight line parallel to the $$x$$ $$-$$ axis.
2
GATE EE 1999
MCQ (Single Correct Answer)
+2
-0.6
The voltage phasor of a circuit is $$10\angle {15^0}\,V$$ and the current phasor is $$2\,\,\angle - {45^0}A.$$ The active and the reactive powers in the circuit are
A
$$10$$ $$W$$ and $$17.32$$ $$VAR.$$
B
$$5$$ $$W$$ and $$8.66$$ $$VAR$$.
C
$$20$$ $$W$$ and $$60$$ $$VAR.$$
D
$$20\,\,\sqrt 2 \,\,W$$ and $$10\sqrt 2 \,\,VAR.$$
3
GATE EE 1999
MCQ (Single Correct Answer)
+2
-0.6
Two $$100$$ $$\mu A$$ full scale $$PMMC$$ meters are employed to construct a $$10$$ $$V$$ and a $$100$$ $$V$$ full scale voltmeter. These meters will have figures of merit (sensitivities) as
A
$$10\,k\Omega /V$$ and $$10\,k\Omega /V$$
B
$$100\,k\Omega /V$$ and $$10\,k\Omega /V$$
C
$$10\,k\Omega /V$$ and $$100\,k\Omega /V$$
D
$$10\,k\Omega /V$$ and $$1\,k\Omega /V$$
4
GATE EE 1999
MCQ (Single Correct Answer)
+2
-0.6
A current of $$\left[ {2 + \sqrt 2 \sin \left( {314t + 30} \right) + 2\sqrt 2 \cos \left( {952t + 45} \right)} \right]$$ is measured with a thermocouple type. $$5A$$ full scale, class $$1$$ meter. The meter reading would like in the range,
A
$$5A \pm 1\% $$
B
$$\left( {2 + 3\sqrt 2 } \right)A \pm 1\% $$
C
$$3A \pm 1.7\% $$
D
$$2A \pm 0.5\% $$
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