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GATE EE: 2018 Mini Mock 11

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Question 1

The transfer function of a phase-lead compensator is given by

The maximum phase-shift provided by such a compensator is:

Question 2

A step up chopper has input voltage of 220 V and output voltage of 660 V. If the conducting time of thyristor chopper is 100 µsec. calculate the pulse width of output voltage –

Question 3

Let and be two signals with Laplace transform being F₁(s) and F₂(s) where

s = σ+jω, If we define a new signal then the inverse Laplace transform of G(s) will be given as (where * denotes complex conjugate of the signal).

Question 4

The truth table for implementing a Boolean variable F is given by
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where d represents don’t care states. The minimized expression for F is

Question 5

A 2200 Volts, delta connected motor has a synchronous reactance per phase (delta) of 10 ohm. It operates at a leading power factor of 0.505 when drawing 600 kW from the mains. Calculate its excitation emf.

Question 6

In a 3-bus system, Gauss load flow method is to be used for finding the switched capacitor compensation required to maintain the voltage at bus 2 equal to 1.0 p.u. the data for the system is as follows:
Line data: Z₁₂ = Z₁₃ = Z₃₁ = j0.1p.u. Neglect line charging
Bus data:

All data are on common base values.
With the help of one iteration of load flow, explain how you will achieve the stated objective.

Question 7

A 100/5 A bar primary current transformer supplies an over current relay set at 25% pickup and it has a burden of 5 VA. The knee point voltage and cross section of the core if the CT has 50 turns on its secondary and the fault current is 15 times the relay setting.
Assume the flux density as 1.4 Wb/m².

Question 8

Consider the differential equation
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Given x(0) = 20 and x(1) = 10/e, where e = 2.718, the value of x(2) is ________.

Question 9

If each stage had gain of 10dB and noise figure of 10dB, then the overall noise figure of two-stage cascade amplifier will be

Question 10

If x and y are two random signals with zero mena Gaussina distribution having identical standard deviation, the phase angle between them is

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ESE & GATE EE General

Nov 27ESE & GATE EE