$${v_1}\left( t \right) = 100\cos \left( {\omega t} \right)$$
$${v_2}\left( t \right) = 100\cos \left( {\omega t + {\pi \over {18}}} \right)$$
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
2
GATE EE 2017 Set 2
Numerical
+1
-0
The normal - $$\pi $$ circuit of a transmission line is shown in the figure.
Impedance $$Z = 100\angle {80^ \circ }$$ and reactance $$\,X = 3300\Omega .$$ The magnitude of the characteristic impedance of the transmission line, in $$\Omega ,$$ is ________. (Give the answer up to one decimal place.)
Your input ____
3
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
In a long transmission line with $$r, l, g$$ and $$𝑐$$ are the resistance, inductance, shunt conductance and capacitance per unit length respectively, the condition for distortionless transmission is
The total instantaneous power flowing form the source to the load is