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GATE 2020: Toppers Quiz 24 (App update required to attempt this test)

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Question 1

From Bode plot of a unity feedback control system, the value of the phase of 𝐺(𝑗𝜔) at the gain crossover frequency is – 1350. Then the phase margin (in degrees) of the system is _____.

Question 2

Two point charges of 10 µC at point M and 20 µC at point N exerts a force of 4.8 N and 10 N respectively on a point charge of 40 µC at point O. Determine the electric field intensity at point O.

Question 3

The diagram shows a two-winding transformer (fig-1) and an autotransformer (fig-2) formed by reconnection of the terminal of an autotransformer. The terminal markings are the conventional ones with regard to the respectively polarities.


When operated as an autotransformer with input voltage 1000 V, the output load current would be

Question 4

An energy meter having meter constant of 1400 revolution/KWhr, makes 40 revolutions in 50 seconds for a constant load. The value of load connected in KW will be _________.

Question 5

A 100KVA, 5500/200V, 50Hz, 1 phase transformer took 15A and 400W at 105V in a test. Calculate the % voltage regulation on full load at 0.8pf lagging.

Question 6

The input and impulse response of an LTI system are

The value of output at is ___________.

Question 7

An induction motor has an efficiency of 0.9 when the load is 50 hp. At this load, the stator copper loss and rotor copper loss each equal to the iron loss. The mechanical losses are one-third of the no-load losses. Calculate the slip.

Question 8

For a Si photoconductor of length 5 µm, doped n-type at 1015 cm-3, calculate the change in current density (A-m2) when we illuminate light on the photo-conductor.
Given: 1020 electron-hole pairs/cm3 -s and carrier-recombination lifetimes, T = 0.1 µs. The applied voltage is 2.5 V across the photoconductor's length. The electron and hole mobility are 1500 cm2/V-s and 500 cm2 /V-s, respectively. in the ohmic region for electric fields below 104 V/cm.

Question 9

A software delay subrouting is written as given below
Delay: MVI H, 255D
MVI L, 255D
LOOP: DCR L
JNZ LOOP
DCR H
JNZ LOOP
How many times DCR L instruction will be executed?

Question 10

A unity feedback system with open-loop transfer function
.
Find the value of K such that gain margin=40 dB.

Question 11

Three identical single phase transformer have their rated voltages of 200V, 150V & 200V respectively for the primary, secondary and tertiary winding. The primary winding is connected on star to three phase sinusoidal supply of 433V. The secondary is also connected in star. The voltmeter, when connected across the open circuited delta of the tertiary winding gave reading of 120V. What is the line voltage on the secondary side if the tertiary delta is open circuited?

Question 12

In a 3-phase line operating at 50 Hz, the conductors, each of diameter 0.96 cm, are arranged as given below.

Determine the inductance of the line.

Question 13

Two equal charges are located at points A (2, 3, 5) and B (4, 2, 1). If the force exerted on by is , then determine the charge at point A.

Question 14

The overhead lines are connected in parallel to supply a load of 10 MW at 0.8 pf (lagging) and 30 kV. The resistance and reactance of one line (A) are 5.5 Ω and 13.5 Ω, respectively; those of the other line (B) are 6 Ω and 11 Ω respectively. The KVA supplied by line B is


         

Question 15

A 3-, 3-pulse, half wave controlled rectifier is supplying an R-L load, where . A free wheeling diode is also connected across the load, the converter is operating with firing angle of 60o then RMs value of fundamental source current is

Question 16

In the circuit shown below, the range of that will result in being maintained at 10 V is

Question 17

The Laplace transform of the signal
is

Question 18

A 6-pole dc motor is wave wound 600 conductors. The pole shoe is 60cm long and Bavg over one pole pitch is 0.4T. The armature diameter being 30cm. The torque developed [in Nm] when the motor is drawing 12A and running at 1200rpm is____

Question 19

A generator is supplying a power of 1 p.u. to the infinite bus. The steady state stability limit of the generator is 2.5 p.u. When a three-phase fault occurs at its terminals, the critical clearing angle for the system is

Question 20

Find the value of the resistance and the inductance of the branch CD if the balance is obtianed under these conditions. if the armsof ana.c. maxwellbridgeare given as: AB is a non-inductive resistanceof 1000 Ω in parallel with a capacitor of capacitance 0.5 μF, BC is a non inductive resistance of 600Ω and CD is an inductive impedance which is unknown and DA is a non-inductive resistance of 400 Ω?

Question 21

The output voltage of an half-bridge inverter is expressed in the Fourier series comprising of only odd harmonics as:

If , determine the rms value of the fundamental component of the output voltage.

Question 22

The bode plot of a non-minimum phase system is shown below

The transfer function is

Question 23

In the following circuit, what is the impedance Rb seen through base of the transistor?

Question 24

A 220 V, 110 A, 1500 rpm, DC shunt motor has negligible field resistance and 0.4 ohm armature resistance. If counter EMF starter is used to start the motor. Calculate the voltages at which the second and third contacts should close.

Question 25

A 3-phase, 50 Hz generator is rated at 500 MVA, 20 KV with It supplies pure resistive load of 400 MW at 20 kV. The load is connected directly across the terminals of the generator. If all the three phases of the load are short circuited simultaneously, then the initial symmetrical rms current in the generator in per unit on a base of 500 MVA. 20 kV is
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Nov 26ESE & GATE EE