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GATE 2019: Topper Mini Mock 3 (App update required to attempt this test)

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Question 1

An operational amplifier circuit is shown in the figure.


The output of the circuit for a given input Vi is

Question 2

In the circuit shown, the diodes are ideal; the inductance is small, and.Which one of the following statements is true?

Question 3

Consider the system described by the following state space representation                         
If u (t) is a unit step input and , the value of output y(t) at t = 1 sec (rounded off to three decimal places) is_________.

Question 4

For a system having transfer function(s)= a unit step input is applied at time t=0. The value of the response of the system at t=1.5 sec is __________.

Question 5

The Boolean expression simplifies to

Question 6

In an 8085 microprocessor, the following program is executed

At the end of program, register A contains

Question 7

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 8

A universal motor (ac - operated) has a 2-pole armature with 960 conductors. At a certain load, the motor speed is 5000 rpm and the armature current is 4.6 A, the armature terminal voltage and input power are respectively 100 V and 300 W. Calculate the effective armature reactance in ohm assuming on armature resistance of 3.5 Ω.

Question 9

calculate the volume charge density at point (3,5,4)mt if the potential field at any point in a space containing a dielectric material of relative permeability 3.2 is given by V= 5xy + 3+5xz
Volts where x, y, z are in meters.

Question 10

A composite parallel plate capacitor is made up of two different dielectric materials with different thickness (t1 and t2) as shown in Fig. The two different dielectric materials are separated by a conducting foil F. The voltage of the conducting foil is

Question 11

The voltage flux adjustment of a certain 1–phase 220 V induction watt hour meter is altered so that the phase angle between the applied voltage and the flux due to it is 85 ° (instead of 90 °). The errors introduced in the reading of this meter when the current is 5A at power factors of unity and 0.5 lagging are respectively.

Question 12

A rectifier type of instruments uses a basic PMMC movement of 50 μA and a resistance of 1000 Ω. It employs a full wave rectifier circuit with forward resistance of each diode being 1000 Ω. The reverse resistance of the diodes is infinite. The range of the instruments is 0 - 10 V ac sinusoidal. _______ kΩ is the series multiplier.

Question 13

Determine the current I, the voltage across resistor and the voltage across the inductor also and find the time constant for the circuit if a series RL circuit with R = 30 ohm and L=15 H has a constant voltage V=60 V applied at t=0 as shown in figure.

Question 14

Find ABCD parameters for the circuit shown in figure?

Question 15

A 3-ϕ, 50 Hz fully controlled bridge converter is fed with ac source has inductance of 20 mH/phase. If the thyristor firing angle is 30 ° and the overlap angle is 10 °, then the constant dc load current is ________ A.

Question 16

A three-phase half-wave controlled rectifier circuit is shown in the figure. It is operated from 3-ϕ star-connected, supply transformer with a line to line ac supply voltage of 440 volts rms, at 50 Hz. The thyristors are triggered at a delay angle of α=30o. Assume continuous ripple-free current.

The average output current is _______ A.

Question 17

A 3-phase, 4 wire distributor supplies a balanced voltage of 400/230 V to a load consisting of 30 A at p.f. 0.866 lagging for R phase, 30 A at p.f. 0.866 leading for Y phase and 30 A at unity p.f. for B phase. The resistance of each line conductor is 0.2 Ω. The area of cross section of neutral is half of any line conductor. The supply end voltage for R phase is _____ (phase sequence is RYB)

Question 18

A 3-phase, 50 Hz generator is rated at 500 MVA, 20 KV with It supplies pure resistive load of 400 MW at 20 kV. The load is connected directly across the terminals of the generator. If all the three phases of the load are short circuited simultaneously, then the initial symmetrical rms current in the generator in per unit on a base of 500 MVA. 20 kV is

Question 19

A system is said to be causal system if its output depends on present and past inputs only and not on future inputs. A system whose present response depends on future values of the inputs is called as a non-causal system.
Which one is a non-causal system?

Question 20

___________system is a type of system in which the output depends on current and past inputs, but not on future inputs.

Question 21

A matrix has eigenvalues ‒ 1 and ‒ 2. The corresponding elgenvectors are and respectively. The matrix is

Question 22

Consider a function f (x, y, z) given by


The partial derivative of this function with respect to x at the point, x = 2, y = 1 and z = 3 is ________

Question 23

A solution of the ordinary differential equation is such that y (0) = 2 and . The value of is _______.

Question 24


Chose the correct expression for f(x) given in the graph.

Question 25

In a 2x 4 rectangle grid shown below, each cell is a rectangle. How many rectangles can be observed in the grid?
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Jul 2ESE & GATE EE