GATE 2020 || Semi Syllabus Quiz (App update required to attempt this test) for ESE & GATE EE Exams

Question 1

The fully controlled thyristor converter in the figure is fed from a single-phase source. When the firing angle is 0 °, the dc output voltage of the converter is 300 V. What will be the output voltage for a firing angle of 60 °, assuming continuous conduction?

Question 2

Fig. shows a 4 to 1 MUX to be used to implement the sum S of a 1–bit full adder with input bits P and Q and the carry input C_in. Which of the following combinations of inputs to I₀, I₁, I₂ and I₃ of the MUX will realize the sum S?

Question 3

When a synchronous motor is used in over excited mode

Question 4

Which one of the following is correct?
The root locus is the path of the roots of the characteristic equation traced out in the s-plane?

Question 5

Which of the following JFET bias configuration will produce a load line parallel to the drain current axis in the transfer characteristics?

Question 6

An X–Y flip flop, whose Characteristic Table is given below is to be implemented using a J–K flip flop

This can be done by making

Question 7

If the size of bus admittance matrix is 90 × 90 and number of transmission lines required for system are 1575. Find the % sparsity of bus admittance matrix.

Question 8

The discrete time signal

has z-transform

then the value of

is

Question 9

The transfer characteristic of the Op-amp circuit shown in figure is

Question 10

A CRO was used to observe a waveform of signal with amplitude 7unit. w=314rad/sec, phase angle of 60˚, shows sinusoidal nature. If the time line base setting is set to 7msec/div and CRO shows 3.5 cycles on screen. The number of division on CRO screen will be...

Question 11

Consider a right-sided sequence x[n] with z-transform,

What will be the value of x[n]? Take ROC is outside the outermost pole.

Question 12

Consider the discrete-time system shown in the figure where the impulse response of

This system is stable for the range of K?

Question 13

If the initial rate of rise of the current

is 1.25 A/s, find the value of L(in H).

Question 14

A 2200/220V 50Hz, single phase transformer has exciting current of 0.5A and a core loss of 360 watts, when its HV side is energized at rated voltage. If transformer supplies a load current of 60A at 0.8 pf lag on its LV side, then primary power factor is ______ lag.

Question 15

Fault current of a line to ground fault and LLL fault for an unloaded generator is same. If X₁ = 0.3 pu, X₂ = 0.2 pu and X_O = 0.04 pu. Then calculate value of inductive reactance (X_n) required for natural grounding (in pu).

Question 16

The given signal is the sum of two-real exponentials:

What will be the region of convergence (ROC) in this case?

Question 17

In the given circuit, if the switch S is closed at t = 0, find the value of

and

.

Question 18

A 1200V, 6pole, 50Hz, 3-phase star connected induction motor has stator to rotor turns ratio of 3. At standstill, its rotor impedance is (0.4+j8)Ω/phase. What is the gross output of motor at the speed of 960rpm in kW?
[Write the answer upto three decimal Point]

Question 19

The power flowing in a 3 phase 3 wire balanced load system is measured by two wattmeter method the reading of wattmeter A is 7500W and of wattmeter B is -1500W. If the voltage of circuit is 400V then the value of capacitance in microfarads that must be introduced in each phase that would cause whole of the power measured to appear on wattmeter A is________, the frequency is 50Hz.

Question 20

Let the forward path transfer matrix

and the feedback path transfer matrix

The closed loop transfer function matrix is