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Practice Test: Gate Electrical Engineering GATE 2013 Paper


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65 Questions MCQ Test GATE Past Year Papers for Practice (All Branches) | Practice Test: Gate Electrical Engineering GATE 2013 Paper

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Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 1

Q. No. 1 – 5 Carry One Mark Each

Choose the grammatically CORRECT sentence:

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 2

Statement: You can always give me a ring whenever you need.

Which one of the following is the best inference from the above statement?

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 3

In the summer of 2012, in New Delhi, the mean temperature of Monday to Wednesday was 41ºC and of Tuesday to Thursday was 43ºC. If the temperature on Thursday was 15% higher than that of Monday, then the temperature in ºC on Thursday was

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 3

Let the temperature of Monday be TM
Sum of temperatures of Tuesday and Wednesday = T and
Temperature of Thursday =TTh

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 4

Complete the sentence:

Dare ____________ mistakes.

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 5

They were requested not to quarrel with others.

Which one of the following options is the closest in meaning to the word quarrel?

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 6

Q. No. 6 – 10 Carry Two Marks Each

A car travels 8 km in the first quarter of an hour, 6 km in the second quarter and 16km in the third quarter. The average speed of the car in km per hour over the entire journey is

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 6

Average speed = Total distance/Total time

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 7

 If the current changes from 3A to 5A in 2s and the emf is 10V. Calculate the inductance.

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 8

Statement: There were different streams of freedom movements in colonial India carried out by the moderates, liberals, radicals, socialists, and so on. Which one of the following is the best inference from the above statement?

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 9

The set of values of p for which the roots of the equation 3x2 + 2x + p (p − 1) = 0 are of opposite sign is

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 10

What is the chance that a leap year, selected at random, will contain 53 Sundays?

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 10

There are 52 complete weeks in a calendar year  852 × 7 = 364 days

 

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 11

Q. No. 11 – 35 Carry One Mark Each

Given a vector field  the line integral  evaluated along a segment on the x-axis from x=1 to x=2 is

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 12

The equation  has

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 13

Square roots of −i, where are

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 14

Three moving iron type voltmeters are connected as shown below. Voltmeter readings are V, V1 and V2 as indicated. The correct relation among the voltmeter readings is

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 15

Leakage flux in an induction motor is

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 16

The angle δ in the swing equation of a synchronous generator is the

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 17

Consider a delta connection of resistors and its equivalent star connection as  shown below.  If all elements of the delta connection are scaled by a factor k, k>0, the elements of the corresponding star equivalent will be scaled by a factor of 

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 18

A band-limited signal with a maximum frequency of 5 kHz is to be sampled. According to the sampling theorem, the sampling frequency in kHz which is not valid is

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 19

For a periodic signal v(t)=30sin 100t + 10cos 300t + 6 sin(500t+π/4), the fundamental frequency in radians/s is

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 20

A bulb in a staircase has two switches, one switch being at the ground floor and the other one at the first floor. The bulb can be turned ON and also can be turned OFF by any one of the switches irrespective of the state of the other switch. The logic of switching of the bulb resembles

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 21

The Bode plot of a transfer function G(s) is shown in the figure below.

The gain (20log|G(s)|) is 32 dB and -8 dB at 1 radians/s and 10 radians/s respectively. The phase is negative for all ω. Then G(s) is

 

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 22

In the feedback network shown below, if the feedback factor k is increased, then the

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 23

The input impedance of the permanent magnet moving coil (PMMC) voltmeter is infinite.  Assuming that the diode shown in the figure below is ideal, the reading of the voltmeter in Volts is 

 

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 24

The curl of the gradient of the scalar field defined by V = 2x2y+3y2z+4z2x is=

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 25

A continuous random variable X has a probability density function f(x) = e-x , 0 < x < ∞, Then P{X > 1 } is

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 26

The flux density at a point in space is given by B = 4xa+ 2kyay + 8az Wb / m2  The value of constant k must be equal to 

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 27

A single-phase transformer has no-load loss of 64 W, as obtained from an open-circuit test.  When a short-circuit test is performed on it with 90% of the rated currents flowing in its both LV and HV windings, he measured loss is 81 W.  The transformer has maximum efficiency when operated at

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 28

A single-phase load is supplied by a single-phase voltage source. If the current flowing from the load to the source is 10∠ - 150° A and if the voltage at the load terminals is 100∠60°V , then the

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 29

A source Vs(t) = V cos100π t has an internal impedance of( 4+ j3). If a purely resistive load connected to this source has to extract the maximum power out of the source, its value in  should be

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 30

Two systems with impulse responses  h1 (t) and h2 (t) are connected in cascade. Then the overall impulse response of the cascaded system is given by 

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 31

Which one of the following statements is NOT TRUE for a continuous time causal and stable LTI system?

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 32

The impulse response of a system is h(t) = tu(t). For an input u(t 1),the output is

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 33

Assuming zero initial condition, the response y(t) of the system given below to a unit step input u(t) is

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 34

The transfer function V2(s) / V1(s) of the circuit shown below is 

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 35

In the circuit shown below what is the output voltage (Vout ) in Volts if a silicon transistor Q and an ideal op-amp are used?

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 36

Q. No. 36 – 65 Carry Two Marks Each

When the Newton-Raphson method is applied to solve the equation f(x) = x3 + 2x -1 = 0 , the solution at the end of the first iteration with the initial guess value as x= 1.2  is

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 37

A function y= 5x2 +10x is defined over an open interval x = (1,2). Atleast at one point in this interval, dy/dx is exactly 

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 38

A 4-pole induction motor, supplied by a slightly unbalanced three-phase 50Hz source, is rotating at 1440 rpm. The electrical frequency in Hz of the induced negative sequence current in the rotor is 

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 39

Thyristor T in the figure below is initially off and is triggered with a single pulse of width 10 sµ . It is given that L = (100/π)µH and C = (100/π)µF. Assuming latching and holding currents of the thyristor are both zero and the initial charge on C is zero, T conducts for

 

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 40

The following arrangement consists of an ideal transformer and an attenuator which attenuates by a factor of 0.8. An ac voltage Vwx1 = 100V is applied across WX to get an open circuit voltage  across YZ. Next, an ac voltage Vyz2 = 100V is applied across YZ to get an open circuit voltage Vwx2 across WX. Then,  are respectively,

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 41

Two magnetically uncoupled inductive coils have Q factors q1 and q2 at the chosen operating frequency. Their respective resistances are R1 and R1. When connected in series, their effective Q factor at the same operating frequency is

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 42

The impulse response of a continuous time system is given by h(t)=  δ(t-1) + δ (t-3).  The value of the step response at t = 2 is

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 43

The signal flow graph for a system is given below. The Transfer function, Y(s)/U(s) for the system is

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 44

In the circuit shown below the op-amps are ideal. Then Vout  in Volts is

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 45

In the circuit shown below, Qhas negligible collector-to-emitter saturation voltage and the diode drops negligible voltage across it under forward bias. If Vcc is +5V, X and Y are digital signals with 0V as logic 0 and Voc as logic 1, then the Boolean expression for Z is

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 46

The clock frequency applied to the digital circuit shown in the figure below is 1kHz. If the initial state of the output of the flip-flop is 0, then the frequency of the output waveform Q in kHz is

 

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 47

 evaluated anticlockwise around the circle z - i =2, where   is

 

 

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 48

A Matrix has eigenvalues -1 and -2. The corresponding eigenvectors are   and  respectively. The matrix is 

 

 

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 49

A dielectric slab with 500mm x 500mm cross-section is 0.4m long. The slab is subjected to a uniform electric field of E = 6ax + 8ay  kV / mm. The relative permittivity of the dielectric material is equal to 2. The value of constant ε0  is 8.85x10-12 F/m. The energy stored in the dielectric in Joules is

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 50

For a power system network with n nodes, Z33 of its bus impedance matrix is j0.5 per unit. The voltage at node 3 is   per unit. If a capacitor having reactance of -j3.5 per unit is now added to the network between node 3 and the reference node, the current drawn by the capacitor per unit is 

 

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 51

The separately excited dc motor in the figure below has a rated armature current of 20A and a rated armature voltage of 150V. An ideal chopper switching at 5 kHz is used to control the armature voltage. If La = 0.1mH,  Ra = 1, neglecting armature reaction, the duty ratio of the chopper to obtain 50% of the rated a a torque at the rated speed and the rated field current is

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 52

A voltage 1000 sin ωt Volts is applied across YZ. Assuming ideal diodes, the voltage measured across WX in Volts is

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 53

Three capacitors C1 ,  C2 , and C3  whose values are 10 µF,  5 µF and 2 µF respectively, have breakdown voltages of 10V, 5V and 2V respectively. For the interconnection shown, the maximum safe voltage in Volts that can be applied across the combination and the corresponding total charge in µC stored in the effective capacitance across the terminals are respectively

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 54

In the circuit shown below, if the source voltage  then the Thevenin’s equivalent voltage in volts as seen by the load resistance RL is

 

 

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 55

The open loop transfer function of a dc motor is given as  When connected in feedback as shown below, the approximate value of Kthat will reduce the time constant of the closed loop system by one hundred times as compared to that of the open loop system is

 

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 56

In the circuit shown below, the knee current of the ideal Zener diode is 10mA. To maintain 5V across RL, the minimum value of RL in and the minimum power rating of the Zener diode in mW respectively are

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 57

A strain gauge forms one arm of the bridge shown in the figure below and has a  nominal resistance without any load as Rs = 300 . Other bridge resistances are R1 = R2 = R3 = 300. The maximum permissible current through the strain gauge is 20mA. During certain measurement when the bridge is excited by maximum permissible voltage and the strain gauge resistance is increased by 1% over the nominal value, the output voltage V0  in mV is

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 58

Common Data Question: 58 & 59

The state variable formulation of a system is given as: 

 

The response y(t) to the unit step input is

 

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 59

The state variable formulation of a system is given as 

The system is 

 

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 60

Common Data Questions: 60 & 61

In the figure shown below, the chopper feeds a resistive load from a battery source. MOSFET Q is switched at 250 kHz, with a duty ratio of 0.4. All elements of the circuit are assumed to be ideal

The Peak to Peak source current ripple in amps is

 

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 61

Statement for Linked Answer Questions: 62 & 63

In the following network, the voltage magnitudes at all buses are equal to 1 pu, the voltage phase angles are very small, and the line resistances are negligible. All the line reactances are equal to j1

The voltage phase angles in rad at buses 2 and 3 are

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 62

In the figure shown below, the chopper feeds a resistive load from a battery source. MOSFET Q is switched at 250 kHz, with a duty ratio of 0.4. All elements of the circuit are assumed to be ideal 

The average source current in Amps in steady-state is
 

 

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 63

In the following network, the voltage magnitudes at all buses are equal to 1 pu, the voltage phase angles are very small, and the line resistances are negligible. All the line reactances are equal to j1 

If the base impedance and the line-to line base voltage are 100 ohms and 100kV respectively, then the real power in MW delivered by the generator connected at the slack bus is

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 64

Statement for Linked Answer Questions: 64 & 65

The Voltage Source Inverter (VSI) shown in the figure below is switched to provide a 50Hz, square wave ac output voltage vo across an RL load. Reference polarity of vo and reference direction of the output current io are indicated in the figure. It is given that R = 3 ohms, L = 9.55mH.

In the interval when vo < 0 and io > 0 the pair of devices which conducts the load current is

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 64

We consider the following two cases :
Case I : When Q Q1 2 , ON
In this case the +ve terminal of V0 will be at higher voltage. i.e. V0 > 0 and so
i0 > 0 (i.e., it will be +ve). Now, when the Q1, Q2 goes to OFF condition we
consider the second case.
Case II : When Q3, Q4 ON and Q, Q2 OFF :
In this condition, -ve terminal of applied voltage V0 will be at higher potential
i.e., V0 < 0 and since, inductor opposes the change in current so, although the
polarity of voltage V0 is inversed, current remains same in inductor i.e. I0 > 0. 

This is the condition when conduction have been asked.

In this condition (V0 > 0, I0 > 0) since, IGBT’s can’t conduct reverse currents therefore current will flow through D D3 4 , until ID becomes negative. Thus, D3 and D4 conducts.

Practice Test: Gate Electrical Engineering GATE 2013 Paper - Question 65

The Voltage Source Inverter (VSI) shown in the figure below is switched to provide a 50Hz, square wave ac output voltage vo across an RL load. Reference polarity of vo and reference direction of the output current io are indicated in the figure. It is given that R = 3 ohms, L = 9.55mH.

Appropriate transition i.e., Zero Voltage Switching (ZVS) / Zero Current Switching (ZCS) of the IGBTs during turn-on / turn-off is

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