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GATE 2019: Topper Quiz 2 (App update required to attempt this test)

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Question 1

In the circuit shown below, the network N is described by the following Y matrix:

. The voltage gain

Question 2

The z - transform of (1/2)ⁿu(-n) is

Question 3

Consider the open loop transfer function of unity feedback system as

The maximum phase angle provided by this system is

Question 4

Digital input signals A,B,C with A as the MSB and C as the LSB are used to realize the Boolean function

f=m0+m2+m3+m5+m7

where m_i denotes the i^th minterm. In addition, F has a don’t care for m_i .The simplified expression for F is given by,

Question 5

In the silicon BJT circuit shown below, assume that the emitter area of transistor Q1 is half that of transistor Q2.

The value of current I₀ in mA ?

Question 6

A phase controlled single-phase rectifier, supplied by an AC source, feeds power to an R-L-E load as shown in the figure. The rectifier output voltage has an average value given by

where

volts and

is the firing angle. If the power delivered to the lossless batter is 1600 W. α in degree is _________ (upto 2 decimal places).

Question 7

If a generator having 200 MVA rating has an inertia constant of 7.5 MJ/MVA, then what is the inertia constant on 100 MVA base?

Question 8

A 3-phase 50 Hz square wave (6-step) VSI feeds a 3-phase, 4 pole induction motor. The VSI line voltage has a dominant 5th harmonic component. If the operating slip of the motor with respect to fundamental component voltage is 0.04, the slip of the motor with respect to 5th harmonic component of voltage is _____.

Question 9

Two wattmeter method is used for measurement of power in a balanced three-phase load supplied from a balanced three-phase system. If one of the wattmeter reads half of the other (both positive), then the power factor of the load is

Question 10

Find the magnitude of the electric field intensity in V/m at the origin due to an 8nC charge located at (2, –3, 1).

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ESE & GATE EE General

Jun 14ESE & GATE EE