GATE 2020: Toppers Quiz 25 (App update required to attempt this test) for ESE & GATE EE Exams

Question 1

Let the decimal value of a 6-bit 1’s complement number: 100000 be A and let the decimal value of a 6-bit 2’s complement number: 100000 be B. Then value of (A-B) is

Question 2

Two transformers connected in open delta supplied a 500kVA balanced load operating at 0.6 pf lag. The load voltage is 440V. What is the kW applied by each transformer?

Question 3

The total number of oscillations of a system before it reaches to the steady state is

Question 4

Find the frequency deviation for this time if A 100 MVA alternator operating at full load at 50 Hz. H = 4 MWsec/MVA, T_d = 0.5 sec. One of the transmission line is tripped. So that output of generator is reduced to 70 MW?

Question 5

The voltage at the receiving end of a 3-phase feeder delivering 100 KVA varies between 475 V and 525 V. For what KVA capacity must an induction regulator be designed to maintain the voltage constant at 500 V?

Question 6

The open-loop transfer function of a unity feedback control system is given by

For the system to be stable the range of K is

Question 7

The source voltage and source current waveforms of a given circuit are shown below.

The source power factor is

Question 8

In the circuit shown below,

If duty cycle

frequency of switch is 25 kHz and average load current is 1.25 A then the peak current of the transistor

is

Question 9

Implement the function F (A,B,C) =

using 2 x 1 Mux

Question 10

In an 8 pole lap wound dc machine commutation technique, we have to reverse the armature current of 5A in 10msec. The inductance of a coil is 1mH, then the value of inductive kick will be

Question 11

If the Fourier transform of a certain function f(t) is:

Determine the Fourier transform of the given function:

Question 12

Find the voltage across 70μF capacitor (V₄) as shown in figure below:

Question 13

A single core cable for use on 11 kV, 50 Hz system has conductor area 0.645 cm² and the internal diameter of sheath is 2.18 cm. The maximum electric stress in the cable is

Question 14

We have an upsampler which does upsampling by padding zeros in the input sequence if input and output of system are

and

respectively and

is related to

If the ROC of z-transform of

is

then the ROC of z-transform of the sequence given by the above system will be

Question 15

The characteristic equation of a feedback control system is given by

(s² + 4s + 4) (s² + 11s + 30) + Ks² + 4K = 0

where K > 0. In the root locus of this system, the asymptotes meet in s-plane at

Question 16

In a MOSFET what will be the trans conductance when I_D = 10nA and V_DS = 1V, by assuming sub threshold operation and n being 1 / k is 1.5. We also assume that C_gs + C_gs + C_gs will be 30fF. Also calculate the value of f_T.

Question 17

In the given NPN circuit β = 120, V_BE = 0.7 V and it operating at Q point (3V, 1.2mA) if β increased to 200 to new operating point will be

Question 18

For the element values given in the circuit, and the initial current through the inductor is

. Initial voltage across the capacitor

. The values of conduction time of thyristor and capacitor voltage after thyristor is turned OFF are

Question 19

A 4 pole, 50 A, 360 number of conductors wave wounded for a DC shunt generator has field current of 1.5 A. Calculate cross magnetizing and demagnetizing ampere turns per pole at full load if brushes are shifted from its geometric neutral axis by 15 mechanical degree.

Question 20

A household heater takes in 10 A current at 50 V supply. If a choke of 5 ohm resistance is placed in series with the heater in order to work at 200 V, 50Hz. The value of choke inductance and the source power factor are respectively,

Question 21

The digital multimeter having 10 V range with calibration at 23 ºC ±5 ºC expects signal of 7V. The accuracy specifications for these conditions state ±(20ppm of reading + 6 ppm of range). What will be the accuracy of multimeter.

Question 22

The logic circuit given below is used to generate chip select signal by INTEL 8085 Microprocessor to address a peripheral. The peripheral will respond to address in the range.
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Question 23

3 - ϕ, salient pole alternator has direct axis reactance as 0.6 pu and quadrature axis reactance as 0.3 pu, when its terminal voltage is 1.0 pu, excitation voltage is 1.1 pu. To deliver maximum power, the rotor angle should be in degree?

Question 24

A capacitive voltage divider is used to measure the bus voltage V_bus in a high-voltage 50 Hz AC system as shown in the figure. The measurement capacitors C₁ and C₂ have tolerances of ±10% on their nominal capacitance values. If the bus voltage V_bus is 100 kV rms, the maximum rms output voltage V_out (in kV), considering the capacitor tolerances, is _________.

Question 25

A full-wave rectifier is connected to the load resistor via two capacitor filters as shown below.

Determine the output voltage across the load resistor. Assume ideal diodes.