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GATE 2019: Revision Test 3 (App update required to attempt this test)

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Question 1


Two synchronous generators were connected in parallel. The emfs are in phase with respect to the load. The mechanical speed of Machine 1 was increased at t= t1 and it accelerates during the transcient. The effect of this change in speed on the machines is

Question 2

Consider a dice with the property that the probability of a face with n dots showing up is proportional to n. The probability of the face with three dots showing up is_________.

Question 3

A signal x(t) is represented as shown in figure below has Fourier Transform X(jω)

then the value of X (j 0) is ________.

Question 4

The reduced incidence matrix for a network is given as

Which of the following sets constitute a tree?

Question 5

Two batteries of emf 20 V and 10 V having internal resistances of 3 Ω and 1 Ω respectively are connected in parallel across a load resistance. If the voltage across the load is 11 V, determine the load resistance in ohm?

Question 6

An analog signal was sampled at a frequency 50 Hz to obtain a discrete signal described by x(n) = {1,0,1,1}. The analog signal value is increased by adding a dc bias 0f 5 V. The signal is then passed through various stages as shown below. The z transform of the resultant will be

Question 7

A deck of five cards (each carrying a distinct number from 1 to 5) is shuffled thoroughly. Two cards are then removed from the deck, one at a time. What is the probability that the two cards are selected with the number of the first card being one higher than the number on the second card?

Question 8

A 3-phase source is connected to two parallel balanced ∆ (delta) loads, one of resistor and other of resistor. The rms value of total line current when the line voltage is (rms) is given by:

Question 9

The unit step response of a positive feedback control system is given by c(t) = -te-t + 2e-t (t>0), then find its open loop transfer function.

Question 10

A unity feedback system having an open loop transfer function

For K =1,  the gain margin is 25 dB. For gain margin of 18 dB, the system gain should changed by a factor of _______.

Question 11

Let Ais an invertible real matrix of order 3 × 3 having eigen values 1, 2, 3 and let B = A-1 + A2, then the trace of B is _____.

Question 12

Find the system’s response to the input x(t)= if the unit impulse response h(t) of a DT LTI system is h(t) = u(-t+1)|use convolution?

Question 13

Fourier transform of gaussian function

Question 14

The h-parameter of a particular network N shown below is [h11=2, h12=4, h21=-5, h22=2]. If the power dissipated in the load resistance of 4ohm is 25 w, then the supply voltage Vs will be.........

Question 15

For a unity negative feedback system with the forward transfer function

Find the sum of maximum and minimum value of K to make the system stable.

Question 16

Consider the system shown below
 
The system is

Question 17

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 18

Individual resistances between studs for a rheostat starter for a series dc motor with constant ratio of maximum to minimum current at starting, are in

Question 19

A system matrix is given as follows.

ratio of the absolute  value of maximum eigenvalue to the absolute value of minimum eigenvalue is _______

Question 20

If the initial approximation is then the first approximation of using Newton Raphson method is …………….. [Write the answer upto two decimal point]
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Sep 20ESE & GATE EE