1
GATE EE 2013
MCQ (Single Correct Answer)
+2
-0.6
In the following network, the voltage magnitudes at all buses are equal to $$1$$ p.u., the voltage phase angles are very small, and the line resistance are negligible. All the line reactances are equal to $$j1\Omega .$$

The voltage phase angles in rad at buses $$2$$ and $$3$$ are

A
$${\theta _2} = - 0.1,\,\,\,{\theta _3} = - 0.2$$
B
$${\theta _2} = 0,\,\,\,{\theta _3} = - 0.1$$
C
$${\theta _2} = 0.1,\,\,\,{\theta _3} = 0.1$$
D
$${\theta _2} = 0.1,\,\,\,{\theta _3} = 0.2$$
2
GATE EE 2013
MCQ (Single Correct Answer)
+2
-0.6
In the following network, the voltage magnitudes at all buses are equal to $$1$$ p.u., the voltage phase angles are very small, and the line resistance are negligible. All the line reactances are equal to $$j1\Omega .$$

If the base impedance and the line-to-line base voltage are $$100\Omega$$ and $$\,100kV,\,\,$$ respectively, then the real power in MW delivered by the generator connected at the slack bus is

A
$$-10$$
B
$$0$$
C
$$10$$
D
$$20$$
3
GATE EE 2013
MCQ (Single Correct Answer)
+1
-0.3
For a periodic signal the $$v\left(t\right)=30\sin100t\;+\;10\cos300t\;+\;6\sin\left(500t\;+\;\frac{\mathrm\pi}4\right)$$ fundamental frequency in radians/s is
A
100
B
300
C
500
D
1500
4
GATE EE 2013
MCQ (Single Correct Answer)
+1
-0.3
The impulse response of a system is h(t) = tu(t). For an input u(t − 1), the output is
A
$$\frac{t^2}2u\left(t\right)$$
B
$$\frac{t\left(t-1\right)}2u\left(t-1\right)$$
C
$$\frac{\left(t-1\right)^2}2u\left(t-1\right)$$
D
$$\frac{t^2-1}2u\left(t-1\right)$$
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