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GATE 2019: Topper Quiz 1 (App update required to attempt this test)
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Question 1
A continuous-time sinusoid of frequency 33 Hz is multiplied with a periodic Dirac impulse train of frequency 46 Hz. The resulting signal is passed through an ideal analog low-pass filter with a cutoff frequency of 23 Hz. The fundamental frequency (in Hz) of the output is _______.
Question 2
For a signal flow path with only one forward path and no loops, the gain is:
Question 3
What is the angle conducted by each diode d1 In a three-phase half wave diode rectifier using 3 diodes? The diodes D1, D2 & D3 are connected to phases R,Y and B respectively as shown in figure
The phase sequence is R-Y-B?
The phase sequence is R-Y-B?
Question 4
Two ammeters X and Y have resistances of 1.2Ω and 1.5Ω respectively and they give full scale deflection with 150 mA and 250 mA respectively. The ranges have been extended by connecting shunts so as to give full scale deflection with 15 A. The ammeters along with shunts are connected in parallel and then placed in a circuit in which the total current flowing is 15A. The current in amperes indicated in ammeter X is __________.
Question 5
Consider a lossless transmissions line which is connected as shown in the figure
The average power dissipated in 25
load is__________ Watts.
The average power dissipated in 25
load is__________ Watts. Question 6
For the circuit shown in figure, Thevenin’s voltage and Thevenin’s equivalent resistance at terminals a – b is
Question 7
in the following truth table V=1 if and only if the input is valid
which function does the truth table represents
which function does the truth table represents
Question 8
If the input to the ideal comparator shown in figure is a sinusoidal signal of 8V (peak to peak) without any DC component, then the output of the comparator has a duty cycle of
Question 9
Consider a power system shown below:
Given that:
Vs1 = Vs2 = 1.0 + j0.0 pu;
The positive sequence impedances are Zs1 = Zs2 = 0.001 + j0.01 pu and ZL = 0.006 + j0.06 pu.
3-phase Base MVA = 100
Voltage base = 400 kV (Line to Line)
Nominal system frequency = 50 Hz
The reference voltage for phase ‘a’ is defined as v (t) = Vm cos (ωt).
A symmetrical three phase fault occurs at centre of the line, i.e. point ‘F’ at time t0. The positive sequence impedance from source S1 to point ‘F’ equals 0.004 + j0.04 pu. The waveform corresponding to phase ‘a’ fault current from bus X reveals that decaying dc offset current is negative and in magnitude at its maximum initial value. Assume that the negative sequence impedances are equal to positive sequence impedances, and the zero sequence impedances are three times positive sequence impedances.
The instant (t0) in mili second of the fault will be
Given that:
Vs1 = Vs2 = 1.0 + j0.0 pu;
The positive sequence impedances are Zs1 = Zs2 = 0.001 + j0.01 pu and ZL = 0.006 + j0.06 pu.
3-phase Base MVA = 100
Voltage base = 400 kV (Line to Line)
Nominal system frequency = 50 Hz
The reference voltage for phase ‘a’ is defined as v (t) = Vm cos (ωt).
A symmetrical three phase fault occurs at centre of the line, i.e. point ‘F’ at time t0. The positive sequence impedance from source S1 to point ‘F’ equals 0.004 + j0.04 pu. The waveform corresponding to phase ‘a’ fault current from bus X reveals that decaying dc offset current is negative and in magnitude at its maximum initial value. Assume that the negative sequence impedances are equal to positive sequence impedances, and the zero sequence impedances are three times positive sequence impedances.
The instant (t0) in mili second of the fault will be
Question 10
A 100 kVA, 2 winding transformer has an iron loss of 1 kW and full load copper loss of 1.5 kW at normal output current. Calculate efficiency at maximum load in Percentage (%) at 0.8 lagging power factor
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ESE & GATE EEGeneralMay 9ESE & GATE EE
