1
GATE EE 2014 Set 2
Numerical
+2
-0
There are two generators in a power system. No-load frequencies of the generators are $$51.5$$ $$Hz$$ and $$51$$ $$Hz,$$ respectively, and both are having droop constant of $$1$$ $$Hz/MW.$$ Total load in the system is $$2.5$$ $$MW.$$ Assuming that the generators are operating under their respective droop characteristics, the frequency of the power system in $$Hz$$ in the steady state is ____________.
Your input ____
2
GATE EE 2014 Set 2
Numerical
+2
-0
A synchronous generator is connected to an infinite bus with excitation voltage $${E_f} = 1.3\,pu.$$ The generator has a synchronous reactance of $$1.1$$ $$pu$$ and is delivering real power $$(P)$$ of $$0.6$$ $$pu$$ to the bus. Assume the infinite bus voltage to be $$1.0$$ $$pu.$$ Neglect stator resistance. The reactive power $$(Q)$$ in $$pu$$ supplied by the generator to the bus under this condition is ____________.
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3
GATE EE 2014 Set 2
MCQ (Single Correct Answer)
+1
-0.3
A parallel plate capacitor consisting two dielectric materials is shown in the figure. The middle dielectric slab is place symmetrically with respect to the plates. GATE EE 2014 Set 2 Electromagnetic Fields - Electrostatics Question 34 English If the potential difference between one of the plates and the nearest surface of dielectric interface is 2 Volts, then the ratio $$\varepsilon_1\;:\;\varepsilon_2$$ is
A
1:4
B
2:3
C
3:2
D
4:1
4
GATE EE 2014 Set 2
MCQ (Single Correct Answer)
+2
-0.6
The magnitude of magnetic flux density ($$\overrightarrow B$$) at a point having normal distance d meters from an infinitely extended wire carrying current of I A is $$\frac{\mu_0I}{2\mathrm{πd}}$$ (in SI units). An infinitely extended wire is laid along the x-axis and is carrying current of 4 A in the +ve x direction. Another infinitely extended wire is laid along the y-axis and is carrying 2 A current in the +ve y direction. μ0 is permeability of free space. Assume $$\widehat i,\;\widehat j,\;\widehat k$$ to be unit vectors along x, y and z axes respectively. GATE EE 2014 Set 2 Electromagnetic Fields - Magnetostatics Question 18 English Assuming right handed coordinate system, magnetic field intensity, $$\overrightarrow H$$ at coordinate (2,1,0) will be
A
$$\frac3{2\mathrm\pi}\widehat k\;$$ Weber/m2
B
$$\frac4{3\mathrm\pi}\widehat i\;A/m$$
C
$$\frac3{2\mathrm\pi}\widehat k\;A/m$$
D
0 A/m
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