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

Question 1

Determine the transfer function

for the given block diagram.

Question 2

To design a 4-bit MOD-7 counter of the Synchronous type the number of J-K flipflops required are?

Question 3

A 12 kHz pulse waveform is amplified by a circuit having an upper cut-off frequency of 1 MHz. The minimum input pulse width that can be accurately reproduced is

Question 4

The excitation of a 415-V 3 phase mesh connected synchronous motor is such that the induced emf is 520V.the impedance per phase is (. 5+4j) ohm. Calculate the line current assuming that motor is running on max power output condition.

Question 5

A 10kVA, 400/1000V transformer has copper loss of 50W for a 5A current at low voltage side and no-load loss of 100W at low voltage side. Find the required kVA for maximum efficiency?

Question 6

In the figure given below see phasors are with reference O. The locus of voltage V_xy infinity is shown by.

Question 7

A coil of resistance 20 Ω and inductance 0.5 H forms part of series circuit for which the resonant frequency is 60 Hz. If supply is 240 V, 50 Hz across the coil, then Find the magnitude of the voltage across the coil (in Volts)?

Question 8

A digital to analog converter with full scale output voltage of 5 V has a resolution is 15 mV. The no of bit required for this is

Question 9

A Wien Bridge is used to measure the frequency of input signal which is 2sin400πt + 0.2sin1200πt. With this input, the balance will:

Question 10

For the circuit shown in the figure switch S closes at t = 0 and opens after 10 msec. The diode has a forward voltage drop of 0.7 V. What will be the current in inductor at t= 8 msec? (in A)

Question 11

a thyristor converter of 200kA is connected to supply mains through a di/dt inductor of reactance 7%. If current over load factor is 2.5, then the inductor power is____(KVA)

Question 12

The following figure shows a circuit for harmonic reduction of an inverter system. Each inverter has output voltage of 400 V and each transformer has primary to secondary turn’s ratio of 1:2. If the firing angles for the two inverter differ by 30 degrees, the output voltage will be

Question 13

Two 3 - ɸ full converters are connected in antiparallel to form a 3 - ɸ dual converter of the circulating type. The input to the dual converter is 3 - ɸ, 400 V, 50 Hz. If peak value of circulating current is limited to 20 A. Find the value of inductance (in mH) needed for the reactor for firing angle of α₁= 30°.

Question 14

A single phase full bridge inverter, employing transistors is fed from 220 V dc and output frequency is 50 Hz. Load is RLC with R= 6Ω, L=30 mH and C= 180 µF. calculate THD of the output voltage and its distortion factor(µ)?

Question 15

A generator rated 100 kVA, 13.8 kV and having reactance

and

its netutral being grounded through a current reactor of 0.08 pu. The generator is connected to a connected step up transformer with 0.06 p.u. reactance its neutral being solidly grounded. A double line to ground fault occurs at star side of transformer. Calculate fault current in p.u.

Question 16

A 4 pole, 50 Hz, 33 kV, 50 MW alternator has a moment of inertia of 10000 kg=m². The value of inertia constant H is

Question 17

The estimated short circuit MVA at the bus bars of a generating station A is 1500MVA another station B is 1200. The generated voltage at each is 33KV. If these stations are inter connected through a line having a reactance of 1ohm and negligible resistance the possible short circuit MVA on station A is,

Question 18

Calculate the equivalent series capacitance and power factor (at 50 Hz) of the capacitor under test if a losy capacitor is tested with a Schering bridge circuit. Balance obtained with the capacitor under test in one arm, the succeeding arms being, a non-inductive resistor of 100 Ω, anon reactive resistor of 309 Ω in parallel with a pure capacitor of 0.5μFand a standard capacitor of 109 μF. Consider the supply frequency is 50 Hz.

Question 19

Find the power (in Watts) of the discrete time signal f(n), given as

Question 20

An Amplifier with open loop voltage gain A_V = 1000 ± 100. It is necessary to have an amplifier whose voltage gain varies by no more ±0.1 %. Then gain with feedback is

Question 21

In the circuit shown below, g_m=1 mA/V, r₀= 50 kΩ. What is the value of gain A_v= v₀/v_s

Question 22

A 100 kw short shunt compound generator has a no-load voltage of 400 V and is over compounded 12%. Producing a linear external characteristic. If armature resistance be 0.1 Ω and series field and shunt field resistance are 0.04 and 100 Ω respectively. Find the full load generator emf ?

Question 23

Consider the following statements regarding universal motor.
A) It is the bigger version of AC series motor.
B) The speed of a universal motor is same like as of dc series motor.
C) Universal motor is used in vacuum cleaners.
Which of the following is following option is true?

Question 24

In the figure given below, what will be the value of current I is

Question 25

Two 1-ɸ 6600/2200 V transformers have the following short-circuited data:

Transformer A (200 kVA): 62 V , 30.3 A , 370 W

Transformer B (400 kVA): 66 V , 60.6 A , 650 W

These transformers are put in parallel and connected to a load of 0.8 pf lagging with primary voltage held fixed at 6600 V.

Find the maximum kW load that can be supplied by these transformer without causing the load voltage to fall below 2150 V ?

Question 26

Consider the following statements regarding an electrical machine having cylindrical stator and salient pole rotor
1) Reluctance torque is produced when rotor winding is excited.
2) Reluctance torque is produced when stator winding is excited.
3) When both stator and rotor windings are excited, electromagnetic torque is produced.
4) When both stator and rotor windings are excited, electromagnetic torque as well as reluctance torque are produced.
Which of these statements are correct?

Question 27

Determine two unit vectors collinear with

?

Question 28

let A and B be 2’s complement numbers given as A = 1011 and B = 100101 then

A-B (in decimal form) =?

Question 29

The figure shows a digital circuit constructed using negative edge triggered J-K flip flops. Assume a starting state Q₂Q₁Q₀ = 000. This state Q₂Q₁Q₀ = 000 will repeat after _______ number of cycles of the clock CLK.

Question 30

For the given signal,

, determine the sampling frequency(in Hz) at which aliasing will take place.