A 50 Hz, 275 kV line of length 400 km has the following parameters:
Resistance, R = 0.035 $$\Omega$$/km;
Inductance, L = 1 mH/km;
Capacitance, C = 0.01 $$\mu$$F/km;
The line is represented by the nominal-$$\pi$$ model. With the magnitudes of the sending end and the receiving end voltages of the line (denoted by $$V_S$$ and $$V_R$$, respectively) maintained at 275 kV, the phase angle difference ($$\theta$$) between $$V_S$$ and $$V_R$$ required for maximum possible active power to be delivered to the receiving end, in degree is ___________ (Round off to 2 decimal places).
Your input ____
2
GATE EE 2022
MCQ (Single Correct Answer)
+1
-0.33
The geometric mean radius of a conductor, having four equal strands with each strand of radius r, as shown in the figure below, is
A
4r
B
1.414r
C
2r
D
1.723r
3
GATE EE 2018
MCQ (Single Correct Answer)
+1
-0.33
In the figure, the voltages are
$${v_1}\left( t \right) = 100\cos \left( {\omega t} \right)$$
$${v_2}\left( t \right) = 100\cos \left( {\omega t + {\pi \over {18}}} \right)$$
and $${v_3}\left( t \right) = 100\cos \left( {\omega t + {\pi \over {36}}} \right)$$.
The circuit is in sinusoidal steady state, and R << $${\omega L}$$.
P1, P2 and P3 are the average power outputs. Which one of the following statements is true?
A
P1 = P2 = P3 = 0
B
P1 < 0, P2 > 0, P3 > 0
C
P1 < 0, P2 > 0, P3 < 0
D
P1 > 0, P2 < 0, P3 > 0
4
GATE EE 2017 Set 1
MCQ (Single Correct Answer)
+1
-0.3
A source is supplying a load through a 2-phase, 3-wire transmission system as shown in figure
below. The instantaneous voltage and current in phase-a are $$v_{an}=220\sin\left(100\mathrm{πt}\right)\;V$$ and
$$i_a=10\sin\left(100\mathrm{πt}\right)\;A$$, respectively. Similarly for phase-b the instantaneous voltage and current
are $$v_{bn}=220\cos\left(100\mathrm{πt}\right)\;V$$ and $$i_b=10\cos\left(100\mathrm{πt}\right)\;A$$, respectively.
The total instantaneous power flowing form the source to the load is
The total instantaneous power flowing form the source to the load is