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Q#11 AC and DC Drives GATE EE 1997 MSQ +2 marks -0 marks

A separately excited d.c. motor is fed from a chopper operating at 500 Hz with a duty cycle of 50% and is drawing an average current of 10A from a 200V d.c. source. A free wheeling diode is connected across it. The motor has negligible armature resistance; a field inductance of 50mH and a torque constant of 0.5 N-m/A. determine the minimum and maximum motor current, motor back e.m.f. and the mechanical torque developed.

Developed Torque = 5 N-m

Developed Torque = 10 N-m

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Q#12 Combinational Circuits GATE EE 1997 MCQ +2 marks -0.66 marks

A 3-input 2-output priority encoder has the following truth table where X’s indicate don’t care conditions. Realize the logic using NAND gates and inverters

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Q#13 Fourier Series GATE EE 1997 NAT +2 marks -0 marks

Compute the amplitude of the fundamental component of the waveform given in figure

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Q#14 Numerical Methods GATE EE 1997 NAT +2 marks -0 marks

A system governed by the differential equation  is initially at rest. Determine the value of y at t=0.1s using the trapezoidal rule of integration with a step size of 0.05s

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Q#15 Control System Design GATE EE 1997 MCQ +1 mark -0.33 marks

Introduction of integral action in the forward path of a unity feedback system results in a

Marginally stable system

System with no steady state error

System with increased stability margin

System with better speed of response

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Q#16 Magnetically Coupled Circuits GATE EE 1997 NAT +2 marks -0 marks

Two identical coils negligible resistance when connected in series across a 200V, 50Hz source draws, a current of 10A. When the terminals of one of the coils are reversed, then current drawn is 8A. The coefficient of coupling between the two coils is

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Q#17 Instrument Transformer GATE EE 1997 MSQ +2 marks -0 marks

For the circuit shown in Fig, the wattmeter reading will be ______ W and the power dissipated in the load is ______ W

Power Dissipated in the Load = 6400 W

Wattmeter Reading = 640 W

Power Dissipated in the Load = 640 W

Wattmeter Reading = 6400 W

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Q#18 Instrument Transformer GATE EE 1997 MCQ +1 mark -0.33 marks

The primary current in a current transformer is dictated by

The secondary burden

The core of the transformer

The load current

None of the above

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Q#19 Error Analysis GATE EE 1997 MSQ +2 marks -0 marks

In the circuit shown in figure, for measuring resistance ‘R’ if the ammeter indicates 1A and the voltmeter indicates 100V, then the value of R is_____ Ohms and the error in measurement using the ratio V/I is _____ %  

 

R=111.11 Ohm

R=222.22 Ohm

% Error = -9.99%

% Error = 9.99%

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Q#20 Electro-mechanical Instruments GATE EE 1997 MCQ +2 marks -0.66 marks

In the capacitor divider arrangement shown in Figure, for measurement of high voltages, the minimum resistance of the voltmeter for 1% error is __________ Ohms and the voltage reading will be __________ V.

 and

 and

 and

 and

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Q#21 Network Basics GATE EE 1997 MCQ +1 mark -0.33 marks

An ideal voltage source will charge an ideal capacity

In infinite time

Exponentially

Instantaneously

None of these

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Q#22 Inverter GATE EE 1997 MCQ +2 marks -0.66 marks

A single-phase bridge inverter is fed from a 200V d.c. supply and is operated at 50Hz. It is connected to a load having a resistance of 20 ohms and an inductance of 0.2H. Draw the load current waveform in the steady indicating the peak values.

None

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Q#23 Network Basics GATE EE 1997 MCQ +1 mark -0.33 marks

A practical current source is usually represented by

Resistance in series with an ideal current source

A resistance in parallel with an ideal current source

A resistance in parallel with an ideal voltage source

None of the above

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Q#24 Amplifiers GATE EE 1997 MSQ +2 marks -0 marks

For the differential amplifier circuit shown in Figure, determine the differential gain, the common-mode gain and the common-mode rejection ratio.

The magnitude of the single-ended differential-mode gain () is approximately 95.24.

The single-ended common-mode gain () has an approximate value of .

The Common-Mode Rejection Ratio (CMRR) of the circuit is approximately 39.75 dB.

If the source resistance  is reduced to 0 , the magnitude of the differential-mode gain will increase to exactly 100.

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Q#25 Transducers GATE EE 1997 MCQ +1 mark -0.33 marks

In a LVDT, the two secondary voltages

Are independent of the core position

Vary unequally depending on the core position

Vary equally depending on the core position

Are always in the phase quadrature

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Q#26 Network Theorems - DC Circuits GATE EE 1997 MCQ +2 marks -0.66 marks

For the circuit shown in figure. The Norton equivalent source current value is _________ A and its resistance is _________ Ohms

\(I_N = 4A \ and \ R_N = 4.5\Omega\)

\(I_{N} = 2A \ and \ R_{N} = 5.5\Omega\)

\(I_N = 2A \ and \ R_N = 4.5\Omega\)

\(I_N = 1A \ and \ R_N = 4.5\Omega\)

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Q#27 Transient Analysis GATE EE 1997 MCQ +2 marks -0 marks

In the circuit shown in figure. eg(t)=2.5t volts. What are the values of i(t) and VL(t) at t=4 seconds?

i(t) = 1.24 A and VL(t) = 4.32 V

i(t) = 2.84 A and VL(t) = 4.32 V

i(t) = 1.84 A and VL(t) = 4.32 V

i(t) = 2.84 A and VL(t) = 3.32 V

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Q#28 Network Basics GATE EE 1997 MCQ +1 mark -0.33 marks

Energy stored in a capacitor over a cycle, when excited by an a.c. source is

The same as that due to a d.c. source of equivalent magnitude

Half of that due to a d.c. source of equivalent magnitude

Zero

None of the above

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Q#29 Potentiometer and Q-Meter GATE EE 1997 MSQ +2 marks -0 marks

A 0–1000 micro ampere microammeter guaranteed to be 0.1% accurate needs to be calibrated using a 1.0 V d.c. potentiometer. Draw the circuit diagram and find the value of the standard resistance used and the least count of the potentiometer.

The absolute minimum required value of the standard series resistance () to leverage the full-scale range of the potentiometer is exactly .

To successfully resolve the instrument's guaranteed accuracy step, the least count of the potentiometer must be at least .

If a standard resistance of  is used instead, the voltage drop across it at full-scale current will exceed the maximum voltage range of the potentiometer.

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Q#30 Power System Stability GATE EE 1997 MCQ +1 mark -0.33 marks

A 100MVA, 11kV, 3-phase, 50Hz, 8-pole synchronous generator has an inertia constant H equal to 4 seconds. The stored energy in the rotor of the generator at synchronous speed will be  

100MJ

400MJ

800MJ

12.5MJ

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Q#31 Network Theorems - DC Circuits GATE EE 1997 MCQ +2 marks -0.66 marks

Find the Thevenin equivalent about AB for the circuit shown in figure

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Q#32 Network Basics GATE EE 1997 NAT +2 marks -0 marks

For the two port network shown in figure, the admittance matrix is . Then Find  
\(Y_{11} + Y_{12} + Y_{22} + Y_{21} = ?\)


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Q#33 Stability GATE EE 1997 NAT +2 marks -0 marks

The system represented by the transfer function  has _______ pole(s) in the right-half s-plane.  

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Q#34 Power System Stability GATE EE 1997 MCQ +1 mark -0.33 marks

The use of high-speed circuit breakers

Reduces the short circuit current

Improves system stability

Decreases system stability

Increases the short circuit current

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Q#35 Fault Analysis GATE EE 1997 MCQ +1 mark -0.33 marks

For a fault at the terminals of a synchronous generator, the fault current is maximum for a

3-phase fault

3-phase to ground fault

Line-to ground fault  

Line-to-line fault

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Q#36 Linear Algebra GATE EE 1997 MCQ +1 mark -0.33 marks

A square matrix is called singular, if its

Determinant is unity        

Determinant is zero

Determinant is infinity

Rank is unity

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Q#37 Stability GATE EE 1997 NAT +2 marks -0 marks

Determine whether the system given by the block diagram of figure, is stable ( Yes=1, No=0)

F:\Volume-2 deepak work\07.jpg

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Q#38 Network Basics GATE EE 1997 NAT +2 marks -0 marks

A 10V battery with an internal resistance of 1Ω is connected across a nonlinear load whose V-I characteristic is given by . The current delivered by the battery is __________ A

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Q#39 Linear Algebra GATE EE 1997 MCQ +1 mark -0.33 marks

Gauss-Seidel iterative method can be used for solving a set of

Linear differential equations only

Linear algebraic equations only

Both linear and nonlinear algebraic equation

Both linear and non linear differential equations

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Q#40 Power System Stability GATE EE 1997 NAT +2 marks -0 marks

A synchronous motor is receiving 50% of the power. It is capable of receiving from an infinite bus. If the load on the motor is suddenly reduced to 80% of the previous value, swing of the motor around its new equilibrium position.

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Q#41 Frequency Domain Analysis GATE EE 1997 NAT +2 marks -0 marks

A unity feedback system with the open loop transfer function  has gain margin of…. dB

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Q#42 Microprocessor GATE EE 1997 MCQ +1 mark -0.33 marks

In a microprocessor, the address of the next instruction to be executed, is stored in

Stack pointer

Address latch

Program counter

General purpose register

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Q#43 Fault Analysis GATE EE 1997 NAT +2 marks -0 marks

The synchronous reactance of a 200 MVA, 10kV, 3-phase, 50Hz generator is 1.0p.u. at its own base. Its p.u. reactance at 100MVA, 20 kV base will be……

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Q#44 Network Basics GATE EE 1997 NAT +2 marks -0 marks

The values of E and I for the circuit shown in figure, are_________V and _________A. Then E+I= ?

Z:\PY\EE\Redreaw figure\Network\updated\06-08.jpg

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Q#45 Fault Analysis GATE EE 1997 NAT +2 marks -0 marks

The system shown in figure feeds two loads-        

(a) a factory load of 15 MVA consisting of induction motors and (b) a domestic load of 10MW at 0.8p.f. lagging at 6kV. If the induction motors are rated at 6 kV and take 5 times their rated current at zero p.f. at starting, calculate the dip in voltage at the domestic load bus bar when all the induction motors are started at the same time.

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Q#46 Microprocessor GATE EE 1997 MCQ +1 mark -0.33 marks

The computer program which converts statements written in high level language to object code is known as

Assembler

Operating system

Object-oriented software        

None of these

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Q#47 Network Basics GATE EE 1997 MCQ +2 marks -0.66 marks

The voltage and current waveforms for an element are shown in figure. The circuit element is _________And its value is

        

Inductor and Value = 2H

Capacitor and Value = 2F

Inductor and Value = 4H

Capacitor and Value = 4F

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Q#48 Magnetostatics GATE EE 1997 NAT +2 marks -0 marks

An infinitely long straight wire carries 1000A of current and in the vicinity there is a circular conducting loop of 100mm diameter with the center of the loop 1m away from the straight conductor. Both the wire and the loop are coplanar. Determine the magnitude and direction of current in the loop that produces a zero flux density at its center.

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Q#49 Electrostatics GATE EE 1997 MCQ +1 mark -0.33 marks

In a uniform electric field, field lines and equipotentials

Are parallel to one another

Intersect at 45°

Intersect at 30°

Are orthogonal

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Q#50 Frequency Domain Analysis GATE EE 1997 MCQ +2 marks -0.66 marks

Determine the transfer function of the system having the following state variable representation:         

          

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Q#51 Linear Algebra GATE EE 1997 MCQ +2 marks -0.66 marks

Express the given matrix A as a product of two triangular matrices, L and U, where the diagonal elements of the lower triangular matrix L are unity and U is an upper triangular matriX

 

None

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Q#52 Phase Controlled Converter GATE EE 1997 MCQ +1 mark -0.33 marks

In a dual converter, the circulating current

Allows smooth reversal of load current, but increases the response time

Does not allow smooth reversal of load current, but reduces the response time

Allows smooth reversal of load current with improved speed of response

Flows only if there is no interconnecting inductor

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Q#53 Phase Controlled Converter GATE EE 1997 MCQ +2 marks -0.66 marks

An SCR is connected in series with a 300V ac supply and a 300 ohms load resistor. Calculate for a firing angle of 45°

  1. The reading of a moving coil ammeter connected in series with the load and
  2. The reading on a moving iron voltmeter connected across the SCR

Reading of a moving coil ammeter = 0.4258 A
Reading on a moving iron voltmeter = 221.55 V

Reading of a moving coil ammeter = 0.3842 A
Reading on a moving iron voltmeter = 321.45 V

Reading of a moving coil ammeter = 0.3842 A
Reading on a moving iron voltmeter = 221.55 V

Reading of a moving coil ammeter =  0.2657 A
Reading on a moving iron voltmeter = 221.55 V

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Q#54 Magnetostatics GATE EE 1997 MCQ +2 marks -0.66 marks

A square coil of turns and 10cm side is moved through a steady magnetic field of  at a constant velocity of 2m/sec with its plane perpendicular to the field as shown in figure. Plot the variation of induced e.m.f as the coil moves along the field.

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Q#55 Electrostatics GATE EE 1997 NAT +2 marks -0 marks

The capacitance of the arrangement shown in figure is ________ pF

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Q#56 Microprocessor GATE EE 1997 MCQ +2 marks -0.66 marks

The range of address for which the memory chip shown in figure, will be selected is_________ to_________

(F8000) to  (FFFFH)

(F80FH) to  (FFFFH)

(F800H) to  (FFFFF)

(F800H) to  (FFFFH)

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Q#57 Electrostatics GATE EE 1997 NAT +2 marks -0 marks

The capacitance of an isolated sphere of radius 10cm in air is equal to ________ pF

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Q#58 Power System Protection GATE EE 1997 MCQ +1 mark -0.33 marks

Reactance relay is normally preferred for protection against

Earth faults

Phase faults

Open-circuit faults

None of these

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Q#59 Electrostatics GATE EE 1997 MCQ +2 marks -0.66 marks

Determine the electric field intensity at the point p for the arrangement shown in figure above

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Q#60 Power Semiconductor Devices GATE EE 1997 MCQ +1 mark -0.33 marks

If a diode is connected in anti-parallel with a thyristor, then

Both turn-off power loss and turn-off time decrease

Turn-off power loss decreases but turn-off time increases

Turn-off power loss increases, but turn-off time decreases

None of the above

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Q#61 DC Machines GATE EE 1997 MCQ +2 marks -0.66 marks

A 5kW, 200V DC shunt motor has an armature resistance of 1 ohm and shunt field resistance of 100 ohms. At no-load, the motor draws 6A from a 200V supply and runs at 1000rpm. The rotational loss of the machine is… W and the no load torque is… N-m

Rotational loss = 784 W
No Load Torque = 7.486 N-m

Rotational loss = 884 W
No Load Torque = 7.486 N-m

Rotational loss = 784 W
No Load Torque = 8.486 N-m

Rotational loss = 684 W
No Load Torque = 6.486 N-m

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Q#62 OP-AMP and its Applications GATE EE 1997 MCQ +1 mark -0.33 marks

A major advantage of active filters is that they can be realized without using

op-amps

inductors

resistors

capacitors

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Q#63 Synchronous Machines GATE EE 1997 MCQ +2 marks -0 marks

A single-phase alternator has a synchronous reactance of 2 ohms and negligible resistance. If it supplies 10A to a purely capacitive load at 200V, then generated e.m.f will be… V and the regulation will be…%

180V and 10%

180V and -10%

280V and -20%

280V and 20%

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Q#64 DC Machines GATE EE 1997 NAT +2 marks -0 marks

A 200V, 10kW lap-wound DC generator has 10 poles and 500 conductors on its armature. If the pole face covers 80% of the pole pitch, the pole face conductors required to fully compensate for armature reaction will be…. conductors/pole.

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Q#65 Time Response Analysis GATE EE 1997 NAT +2 marks -0 marks

A first order system is initially at rest and excited by a step input at time t=0. Its output becomes 1.1V is in 4 seconds and eventually reacts a steady state value of 2V. Determine its time constant

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Q#66 OP-AMP and its Applications GATE EE 1997 MCQ +1 mark -0.33 marks

A differentiator has transfer function whose

Phase increases linearly with frequency

Amplitude remains constant

Amplitude increases linearly with frequency

Amplitude decreases linearly with frequency

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Q#67 DC Machines GATE EE 1997 MCQ +2 marks -0.66 marks

The field coil of a two-pole DC series motor is made up of two identical sections. In one case (i) of two sections of the field coil are connected in series, and in another case (ii) the two sections are connected in parallel. If the motor takes the rated current in both the cases, then torque (i): torque (ii) is ….. and speed (i): speed (ii) is ….. (Neglect the effect of magnetic saturation)



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Q#68 Electro-mechanical Instruments GATE EE 1997 MCQ +1 mark -0.33 marks

A dynamometer type wattmeter responds to the

Average value of active power

Average value of reactive power

Peak value of active power

Peak value of reactive power

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Q#69 Transformers GATE EE 1997 MCQ +1 mark -0.33 marks

The low voltage winding of a 400/230V, 1-phase, 50Hz transformer is to be connected to a 25Hz supply, the supply voltage should be

230V

460V

115V

65V

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Q#70 OP-AMP and its Applications GATE EE 1997 NAT +2 marks -0 marks

The circuit shown in figure, acts as a… and for the given inputs, its output voltage is… V         

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Q#71 OP-AMP and its Applications GATE EE 1997 NAT +2 marks -0 marks

For an input signal 4sin10t, the voltage across the resistance R in the circuit shown in figure, is … V

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Q#72 DC Machines GATE EE 1997 NAT +2 marks -0 marks

At 50% of full load, the armature current drawn by a DC shunt motor is 40A when connected to a 200V DC mains. By decreasing the field flux, its speed is raised by 20% this also causes a 10% increase in load torque. Calculate the percentage change in field current. The armature resistance including the brushes is 1 Ohm. Neglect saturation and armature reaction.

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Q#73 Electro-mechanical Instruments GATE EE 1997 MCQ +1 mark -0.33 marks

A transfer instrument employed in the standardization of a polar type AC potentiometer is

An electrostatic instrument

A thermal instrument

A dynamometer instrument

A moving coil instrument

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Q#74 Transformers GATE EE 1997 MCQ +1 mark -0.33 marks

A voltage v=400sin(314.16t) is applied to a 1-phase transformer on no-load. If the no load current of the transformer is 2sin(314.16t-85°), then magnetization branch impedance will be approximately equal to

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Q#75 OP-AMP and its Applications GATE EE 1997 NAT +2 marks -0 marks

Determine the frequency of oscillation of the circuit shown in figure. Assume the op-amp to be ideal

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Q#76 Transformers GATE EE 1997 NAT +2 marks -0 marks

A 3-phase transformer bank consists of three identical 2300/230V, 15 kVA single-phase transformers connect in delta/delta. The bank supplies a 20 kVA, unity p.f. 3-phase load. If one of the single-phase transformer develops a fault, and is removed, the load carried by each of the two transformers now operating in open delta will be… kVA.

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Q#77 Transformers GATE EE 1997 NAT +2 marks -0 marks

Given figure shows a magnetic circuit formed by an ideal core material. Determine the magnetic flux density in the air gap.

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Q#78 Induction Machines GATE EE 1997 MCQ +1 mark -0.33 marks

If an induction machine is run at above synchronous speed, it acts as

A synchronous motor

A induction generator

An inductor motor

None of these

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Q#79 Induction Machines GATE EE 1997 MCQ +2 marks -0.66 marks

A 3-phase, 20kW, 400V, 1470rpm, 50Hz squirrel cage induction motor develops a torque of 100 N-m at a speed of 1400rpm. If the motor is connected to a 30Hz supply, for keeping the same air-gap flux, then supply voltage should be… V and for the same load torque, the new speed will be…. Rpm

140V , 400 rpm

140V , 800 rpm

240V , 400 rpm

240V , 800 rpm

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Q#80 Induction Machines GATE EE 1997 MCQ +2 marks -0.66 marks

A 50kVA, 400V, 3-phase, 50Hz squirrel cage induction motor has full load slip of 5%. Its standstill impedance is 0.866 ohms/phase. It is started using a tapped autotransformer. It the maximum allowable supply current at the time of starting is 100A, then calculate the tap position and the ratio of starting torque to full load torque

x=0.4652 and Ratio = 0.4432

x=0.2564 and Ratio = 0.4432

x=0.4652 and Ratio = 0.2351

x=0.2652 and Ratio = 0.4432

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Q#81 Transmission and Distribution GATE EE 1997 MCQ +1 mark -0.33 marks

Bundled conductors are employed to improve the

Appearance of the transmission line

Mechanical stability of the line

Decreases system stability

Increases the short circuit current

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Q#82 Transmission and Distribution GATE EE 1997 NAT +2 marks -0 marks

The velocity of propagation of electromagnetic wave on an underground cable with relative permittivity of 3 will be __________

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Q#83 Transmission and Distribution GATE EE 1997 MCQ +2 marks -0.66 marks

Two power systems A and B each having a regulation (R) of 0.05 p.u. on their respectively capacity bases and a stiffness (damping coefficient) of 0.75 p.u. are connected through a tie-line, initially carrying no power. The capacity of system A is 2000 MW and that of system B is 3000MW. If there is an increase in load of 200MW in system A, what is the change in the steady-state frequency and power transfer?

0.0019277 p.u. and 120MW

-0.0019277 p.u. and 240MW

-0.0019277 p.u. and 120MW

0.0029277 p.u. and 120MW

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Q#84 Transmission and Distribution GATE EE 1997 NAT +2 marks -0 marks

A factory draws 100kW at 0.7p.f lagging from a 3-phase, 11 kV supply. It is desired to raise the p.f. to 0.95 lagging using series capacitors. Calculate the rating of the capacitor required in μF .

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