1
GATE EE 2014 Set 3
Numerical
+2
-0
For a $$400$$ $$km$$ long transmission line, the series impedance is $$(0.0 + j0.5)$$ $$\Omega /km$$ and the shunt admittance is $$(0.0 + j5.0)$$ $$\mu \,mho/km.$$ The magnitude of the series impedance (in $$\Omega$$) of the equivalent $$\pi$$ circuit of the transmission line is __________.
2
GATE EE 2014 Set 3
Numerical
+2
-0
The complex power consumed by a constant-voltage load is given by $$\left( {{P_1} + {J_{q1}}} \right).\,\,$$ Where, $$\,1\,\,kW \le \,\,{P_1} \le \,\,\,1.5\,\,kW\,\,\,$$ and $$\,\,0.5\,KVAR \le \,\,\,{Q_1} \le 1kVAR.\,\,\,$$ A compensating shunt capacitor is chosen such that $$\,\left| Q \right| \le 0.25\,\,KVAR,\,\,$$ where $$Q$$ is the net reactive power consumed by the capacitor-load combination. The reactive power (in kVAR) supplied by the capacitor is ____________.
3
GATE EE 2014 Set 2
+2
-0.6
The horizontally placed conductors of a single phase line operating at $$50$$ $$Hz$$ are having outside diameter of $$1.6$$ cm, and the spacing between centers of the conductors is $$6$$ m. The permittivity of free space is $$8.854 \times {10^{ - 12}}\,\,F/m.$$ The capacitance to ground per kilometer of each line is
A
$$4.2\,\, \times \,\,{10^{ - 9}}F$$
B
$$8.4\,\, \times \,\,{10^{ - 9}}F$$
C
$$4.2\,\, \times \,\,{10^{ - 12}}F$$
D
$$8.4\,\, \times \,\,{10^{ - 12}}F$$
4
GATE EE 2014 Set 1
+2
-0.6
A distribution feeder of $$1$$ $$km$$ length having resistance, but negligible reactance, is fed from both the ends by $$400$$ $$V,$$ $$50$$ $$Hz$$ balanced sources. Both voltage sources $${S_1}$$ and $${S_2}$$ are in phase. The feeder supplies concentrated loads of unity power factor as shown in the figure.

The contributions of $${S_1}$$ and $${S_2}$$ in $$100$$ $$A$$ current supplied at location $$P$$ respectively, are

A
$$75$$ $$A$$ and $$25A$$
B
$$50A$$ and $$50A$$
C
$$25A$$ to $$75A$$
D
$$0A$$ and $$100A$$
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Medical
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