1
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
$$8.4\,\, \times \,\,{10^{ - 12}}F$$
2
GATE EE 2012
+2
-0.6
For the system shown below, SD1 and SD2 are complex power demands at bus $$1$$ and bus $$2$$ respectively. If $$\left| {{V_2}} \right| = 1$$ pu, the VAR rating of the capacitor (QG2) connected at bus $$2$$ is
A
$$0.2$$ pu
B
$$0.268$$ pu
C
$$0.312$$ pu
D
$$0.4$$ pu
3
GATE EE 2011
+2
-0.6
A lossy capacitor $${C_x}$$, rated for operation at $$5$$ $$kV,$$ $$50$$ $$Hz$$ is represented by an equivalent circuit with an ideal capacitor $${C_p}$$ in parallel with a resistor $${R_p}$$. The value $${C_p}$$ is found to be $$0.102$$ $$\mu F$$ and the value of $${R_p}$$ $$=$$ $$1.25$$ $$M\Omega .$$ Then the power loss and $$tan\delta$$ of the lossy capacitor operating at the rated voltage, respectively, are
A
$$10$$ $$W$$ and $$0.0002$$
B
$$10$$ $$W$$ and $$0.0025$$
C
$$20$$ $$W$$ and $$0.025$$
D
$$20$$ $$W$$ and $$0.04$$
4
GATE EE 2010
+2
-0.6
Consider a three-core, three phase, $$50$$ $$Hz$$, $$11$$ $$kV$$ cable whose conductors are denoted as $$R, Y$$ and $$B$$ in the figure. The inter-phase capacitance $$\left( {{C_1}} \right)$$ between each pair of conductors is $$0.2$$ $$\mu F$$ and the capacitance between each line conductor and the sheath is $$0.4$$ $$\mu F$$ . The per-phase charging current is
A
$$2.0$$ $$A$$
B
$$2.4$$ $$A$$
C
$$2.7$$ $$A$$
D
$$3.5$$ $$A$$
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