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GATE 2021 : Toppers Quiz 16 (App update required to attempt this test)

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Question 1

The Laplace transform of x(t) is X(s)

. What is the final value of x(t)?

Question 2

The inertia constant of 100MVA, 50Hz 4-pole generator is 10 MJ/MVA. If the mechanical input to the machine is suddenly raised from 50MW to 75MW the rotor acceleration will be

Question 3

The sequence reactances of alternator are X₁ = X₂ = 0.1pu, X₀ = 0.05pu. If the severity of Line to ground fault and a 3-phase fault at the terminals of unloaded synchronous alternator is to be same, then the value of reactance required in neutral to ground of an alternator will be____ pu. [upto 4 digit]

Question 4

Let A and B be 2’s complement numbers given as A = 1011 and B = 100101. The value of (A–B) is

Question 5

A baseband signal x(t) has maximum frequency, f_m = 20 kHz. The signal is sampled at a rate f_s and passed through an ideal low pass filter with cut off frequency of 50 kHz. Minimum sampling frequency required, to avoid distortion signal in reproduced signal is:

Question 6

The equivalent resistance and equivalent reactance of a transformer are respectively 0.5 Ω and 0.8 Ω. The voltage regulation will be zero when the load power factor is____

Question 7

If the roots of second order characteristic equation are given by S_{1, 2} = –3 + j2, then the value of damping ξ will be:

Question 8

The unit step response of a particular control system is given by, c(t) = (1 – 5e^–t) u(t). The transfer function of system is.

Question 9

Suppose a SISO shift register is Creating 200ns delay in time. This SISO register is manufactured using N number of D-Flip Flops and clock frequency is 50MHz. The value of N is

Question 10

Consider circuit shown

and v(t) = 50 cos (ωt + θ₁) V

i(t) = 10 cos (ωt – θ₂) A

where ω = 5000 and θ₁ = 30°, θ₂ = – 23.13°

The value of L is ______ mH

Question 11

In the ideal circuit shown in figure, the value of load current I_L is___(mA).

[If 2R₁ = 2R₂ = R₃ + R₄] and R₄ – R₁ = 500Ω]

Question 12

Consider a discrete signal,

The value of will be

Question 13

Consider a passive network in which current (I) flows due to two sources V₁ and V₂ voltage source. If circuit follows super-position theorem the value for I having V₁ = 10 and V₂ = 50 is _____ Amp (Consider I = IA for V₁ = 4 V, V₂ = 0 V and I = – 1A for V₁ = 0 V, V₂ = 5 V)

Question 14

A 100 KVA, 11 kV/400 V, 3-phase transformer has its maximum possible efficiency 97%, when it delivers 60 KVA at unity pf and rated voltage. The maximum possible voltage regulation of the transformer is 5%. Find out the voltage regulation at 0.8 power factor leading.

Question 15

The voltage regulation of a 10 kVA single phase transformer are 4.6% and -2.6% at 0.8 pf lag and 0.8 pf lead respectively. The iron loss is 100W. The maximum efficiency at 0.8 of lag is:

Question 16

A chopper is employed to charge a battery as shown in figure. The charging current is 5 A. The duty ratio is 0.2.The chopper output voltage is also shown in the figure. The peak to peak ripple current in the charging current is

Question 17

The resistance R₀ seen by the output terminals in the circuit below is ______Ω

Question 18

A 3 phase, 2500 V, 1000 rpm, salient pole synchronous machine having X_d = 30 Ω and X_q = 20 Ω per phase values. The excitation power per phase (P_e) and reluctance power per phase (P_r), if the load angle is 15° and the back emf is twice the applied voltage.

Question 19

A uniform 2-wire DC distributor 500m long is loaded with 0.4A/m and is fed at one end. If the maximum permissible voltage drop is not to exceed 10V then the cross-sectional area of the distributor will be_____cm² if ρ = 1.7 × 10^–6 Ω cm.

Question 20

Circuit 1 is improved to circuit 2 and overall power factor of circuit 2 is 0.8 (logging). Let current drawn by circuit I is I₁ and circuit 2 draws current I₂. I₁ + I₂ is _____A.

Circuit I:

Circuit 2:

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ESE & GATE EE General

Jun 8ESE & GATE EE