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Q#11 Logic Family GATE EE 1998 MCQ +1 mark -0.33 marks

The open collector outputs of two 2-inputs NAND gates are connected to a common pull up resistor. If the input to the gates are P, Q and R, S respectively, the output is equal to

 

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Q#12 Economic Load Dispatch GATE EE 1998 MCQ +2 marks -0.66 marks

In a power system, the fuel inputs per hour of plants 1 and 2 are given as         

         Rs per hour

  Rs per hour

The limits generators are:

 

 

Find the economic operating schedule of generation, if the load demand is 130MW, neglecting transmission losses

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Q#13 Logic Family GATE EE 1998 MCQ +1 mark -0.33 marks

In standard TTL gates, the totem pole output stage is primarily used to

Increase the noise margin of the gate

Decrease the output switching delay

Facilitate a wired OR logic connection

Increase the output impedance of the circuit

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Q#14 Potentiometer and Q-Meter GATE EE 1998 MCQ +2 marks -0.66 marks

Figure shows the input attenuator of a multimeter. The meter reads full scale with 12V at M, with the range switch at position ‘q’. What is the required voltage at M to obtain full-scale deflection with the range switch at position‘s’?

D:\Images\11.jpg

1V

150V

120V

147V

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Q#15 AC and DC Drives GATE EE 1998 MSQ +2 marks -0 marks

In a speed controlled d.c. motor drive, the load torque is 40Nm. At time t=0, the operation is under steady state condition and speed is 500rpm. Under this condition at , the generated torque is instantly increased to 100Nm. The inertia of the drive is . The friction is negligible         

(a) Write down the differential equation governing the speed of the drive for t>0

(b) Evaluate the time taken for the speed to reach 1000 rpm

Time taken for the speed to reach 1000 rpm = 4.46 ms

Time taken for the speed to reach 1000 rpm = 8.73 ms

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Q#16 Sequential Circuits GATE EE 1998 MCQ +2 marks -0.66 marks

(a)        Construct the truth table for the circuit given.   are outputs and the clock pulses are the inputs. Unused J, K inputs are assumed to be at logic 1. All flip-flops are rest at power ON.

(b)        Sketch the output waveforms at  

(c)         What function does this circuit perform?

(a)

(b)


(c) MOD-5 counter

(a)

(b)

(c) MOD-6 counter

(a)

(b)


(c) MOD-4 counter

None

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Q#17 Control System Design GATE EE 1998 MCQ +1 mark -0.33 marks

The phase lead compensation is used to

Increase rise time and decrease overshoot

Decrease both rise time and overshoot

Increase both rise time and overshoot

Decrease rise time and increase overshoot

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Q#18 Numerical Methods GATE EE 1998 MCQ +2 marks -0.66 marks

The value of  computed using Simpson’s rule with a step size of h=0.25 is:

0.69491

0.69385

0.69325

0.69415

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Q#19 Magnetically Coupled Circuits GATE EE 1998 MCQ +2 marks -0.66 marks

The effective inductance of the circuit across the terminals A, B in the fig, shown below is:

D:\1Mayu\Gate-9\JPG\JPG\1998\1998\Q2_2..2.jpg

9H

21H

11H         

6H

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Q#20 Combinational Circuits GATE EE 1998 MCQ +2 marks -0.66 marks

Match the following

Logic        Function

(A)         (P) Sum

(B)         (Q) NAND

(C)         (R) Carry

        (S) NOR

A->R , B->Q, C->S

A->S , B->R, C->Q

A->Q , B->R, C->S

A->S , B->Q, C->R

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Q#21 Combinational Circuits GATE EE 1998 MCQ +2 marks -0.66 marks

In a digital combinational circuit with 4 inputs (A, B, C, D), it is required to obtain an output of logical 1 only for the input combination (A=1; B=C=D=0). It is known that the following combinations of input are forbidden:

ABCD= 1010, 1011, 1100, 1101, 1110, 1111

Evaluate the logical expression for the output and realize the same with two input NAND gates. Assume that complements of inputs are not available.

None

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Q#22 Magnetically Coupled Circuits GATE EE 1998 NAT +2 marks -0 marks

Determine the impedance seen by the source  in the network shown in fig.

C:\Users\Ankit\Dropbox\GATE papers\EE papers\Typed\Gate-EE-1998\images\Q9.jpg

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Q#23 Load Flow Analysis GATE EE 1998 MCQ +2 marks -0.66 marks

For the given network in fig., obtain the bus admittance matrix  using the data given:

Line between nodes

Impedance p.u.

Half of line charging admittance

1-2

0.0+j0.05

j1.25

1-3

0.0+j0.02

j0.50

2-3

0.0+j0.02

j0.50

Shunt reactor at node 3

Impedance

0.0+j2.0

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Q#24 State Variable Analysis GATE EE 1998 MSQ +2 marks -0 marks

The state-space representation of a system is given by:

 

Find the Laplace transform of the state transition matrix. Find also the value of  at  if

 

Laplace transform of the state transition matrix

State transition matrix

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Q#25 Transfer Function GATE EE 1998 MCQ +2 marks -0.66 marks

For block diagram shown in fig.   is given by

Z:\PY\EE\Redreaw figure\control system\update\252-06.jpg

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Q#26 CRO GATE EE 1998 MCQ +2 marks -0.66 marks

Fig shows the electrostatic vertical deflection system of CRT. Given that  is the accelerating voltage, the deflection sensitivity (deflection/volt) is proportional to:

 

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Q#27 Transient Analysis GATE EE 1998 MCQ +1 mark -0.33 marks

In the circuit shown in figure, it is desired to have a constant direct current i(t) through the ideal inductor L. the nature of the voltage source v(t) must be:

Constant voltage

Linearly increasing voltage

An ideal impulse

Exponentially increasing voltage

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Q#28 BJT GATE EE 1998 MCQ +1 mark -0.33 marks

One of the applications of current mirror is:

Output current limiting

Obtaining a very high current gain

Current feedback

Temperature stabilized biasing

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Q#29 Transient Analysis GATE EE 1998 MCQ +2 marks -0 marks

The switch in the following circuit, shown in fig 3, has been connected to the 12 V source for a long time. At t=0, the switch is thrown to 24V. The value of L=2H,

(a) Determine  and  

(b) Write the differential equation governing  for t>0

(c) Compute the steady state value of  

(a) 1A, 2V
(b)

(c)
=4V

(a) 1A, 1V
(b)

(c)
=4V

(a) 1A, 2V
(b)

(c)
=4V

(a) 1A, 2V
(b)

(c)
=8V

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Q#30 Network Theorems - DC Circuits GATE EE 1998 MCQ +2 marks -0.66 marks

Viewed from the terminals A, B the following circuit shown in figure can be reduced to an equivalent circuit of a single voltage source series with a single resistance with the following parameters:

D:\1Mayu\Gate-9\JPG\JPG\1998\1998\Q2_2.1.jpg

5 volt source in series with 10Ω resistor

7 volt source in series with 2.4Ω resistor

15 volt source in series with 2.4Ω resistor

7 volt source in series with 10Ω resistor

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Q#31 BJT GATE EE 1998 MCQ +2 marks -0.66 marks

A NPN, silicon transistor is meant for low-current audio amplification. Match its following characteristics against their values:

Characteristics                      Values

(a)                       (P) 0.7V

(b)                       (Q) 0.2V

(c)                       (R) 6V

                                           (S) 50V

(a) => (P)
(b) => (R)
(c) => (Q)

(a) => (R)
(b) => (S)
(c) => (Q)

(a) => (P)
(b) => (R)
(c) => (S)

(a) => (Q)
(b) => (R)
(c) => (S)

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Q#32 Stability GATE EE 1998 MCQ +1 mark -0.33 marks

None of the poles of a linear control system lie in the right half of s-plane. For a bounded input, the output of this system

Is always bounded

Could be unbounded

Always tends to zero

None of the above

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Q#33 Power System Stability GATE EE 1998 MCQ +2 marks -0.66 marks

A power station consists of two synchronous generators A and B of ratings 250MVA and 500MVA with inertia 1.6p.u. and 1p.u., respectively on their own base MVA ratings. The equivalent p.u. inertia constant for the system on 100MVA common base is:

2.6

0.615

1.625

9.0

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Q#34 Stability GATE EE 1998 MCQ +2 marks -0.66 marks

The number of roots on the equation  that lie in the right half of S plane is:

Zero

One

Two

Three

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Q#35 Frequency Domain Analysis GATE EE 1998 MCQ +2 marks -0.66 marks

The asymptotic magnitude Body plot of a system is given fig. Find the transfer function of the system analytically. It is known that the system is minimal phase system         

D:\1Mayu\Gate-9\JPG\JPG\1998\1998\Q18.jpg

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Q#36 Linear Algebra GATE EE 1998 MCQ +1 mark -0.33 marks

A set of linear equations is represented by the matrix equation Ax=b the necessary condition for the existence of a solution for this system is:        

A must be invertible

B must be linearly depend on the columns of A

B must be linearly independent of the columns of A

None of the above

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Q#37 Fault Analysis GATE EE 1998 MCQ +2 marks -0.66 marks

For the network shown in fig, the zero sequence reactance’s in p.u. are indicated. The zero sequence driving point reactance of the node 3 is:

0.12

0.30

0.10

0.20

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Q#38 Power System Stability GATE EE 1998 MSQ +2 marks -0 marks

An alternator is connected to an infinite bus as shown in fig, It delivers 1.0p.u. current at 0.8pf lagging at

V=1.0 p.u. The reactance  of the alternator is 1.2p.u. Determine the active power output and the steady state power limit. Keeping the active power fixed, if the excitation is reduced, find the critical excitation corresponding to operation at stability limit.                 

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Q#39 Magnetostatics GATE EE 1998 MCQ +1 mark -0.33 marks

The laws of electromagnetic induction (Faraday’s and Lenz’s law) are summarized in the following equation:

None of the above

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Q#40 Linear Algebra GATE EE 1998 MCQ +1 mark -0.33 marks

The vector  is an Eigen vector of . One of the given values of A is:

1

2

5

–1

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Q#41 Sinusoidal Steady State Analysis GATE EE 1998 MCQ +1 mark -0.33 marks

A sinusoidal source of voltage V and frequency f is connected to a series circuit of variable resistance, R and a fixed reactance, X. the locus of the tip of the current-phasor I, as R is varied from 0 to ∞ is:

A semicircle with a diameter of

A straight line with a slop of

An ellipse with  as major axis

A circle of radius   and origin at  

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Q#42 Phase Controlled Converter GATE EE 1998 MCQ +2 marks -0.66 marks

When the firing angle α of a single phase, fully controlled rectifier feeding constant d.c. current into a load is 30°, the displacement power factor of the rectifier is:

1

0.5

 

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Q#43 Magnetostatics GATE EE 1998 MSQ +2 marks -0 marks

An electron moves in the X-Y plane with a speed of . Its velocity vector makes an angle of  with X-axis. A magnetic field of magnitude  T exists along the Y-axis. Compute the magnetic force exerted on the electron and its direction.

The direction of the force is - Z

The direction of the force is - Y

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Q#44 Sinusoidal Steady State Analysis GATE EE 1998 MCQ +1 mark -0.33 marks

A circuit with a resistor, inductor and capacitor in series is resonant of  If all the component values are now doubled, the new resonant frequency is:

still

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Q#45 Linear Algebra GATE EE 1998 MCQ +1 mark -0.33 marks

 The sum of the Eigen values of the matrix A is:

10

–10

24

22

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Q#46 Phase Controlled Converter GATE EE 1998 MCQ +2 marks -0.66 marks

A 3-phase, fully controlled, converter is feeding power into a d.c. load at a constant current of 150A. The rms current through each thyristor of the converter is:

50A      

100A

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Q#47 Power Semiconductor Devices GATE EE 1998 MCQ +1 mark -0.33 marks

The uncontrolled electric switch employed in power electric converters is:

Thyristor

Bipolar junction transistor

Diode

MOSFET

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Q#48 Phase Controlled Converter GATE EE 1998 MSQ +2 marks -0 marks

A d.c. motor driven from a fully controlled 3 phase converter shown in figure, draws a d.c. current of 100A with negligible ripple.

(a) Sketch the a.c. line current  for one cycle

(b) Determine the 3rd and 5th harmonic components of the line current as a percentage of the fundamental current

Third harmonic current as a percentage of Fundamental current = 0%

Fifth harmonic current as a percentage of Fundamental current =20%

Third harmonic current as a percentage of Fundamental current = 10%

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Q#49 Electrostatics GATE EE 1998 MSQ +2 marks -0 marks

An infinite number of charges, each equal to ‘q’ are placed along the x=1, x=2 , x=4, x=8 , x=16 and so on. Find the potential and electron field at point x=0, due to these systems of charges.

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Q#50 Power System Protection GATE EE 1998 MCQ +2 marks -0.66 marks

The neutral of 10MVA, 11KV alternator is earthed through a resistance of 5 ohms. The earth fault relay is set to operate at 0.75A. The CT’s have a ratio of 1000:5.

What percentage of the alternator winding is protected?

85%

88.2%

15%

11.8%

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Q#51 Linear Algebra GATE EE 1998 MCQ +2 marks -0.66 marks

 The inverse of A is:

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Q#52 Power Semiconductor Devices GATE EE 1998 MCQ +1 mark -0.33 marks

The MOSFET switch in its on-state may be considered equivalent to:

Resistor

Inductor

Capacitor      

Battery

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Q#53 Power Semiconductor Devices GATE EE 1998 MCQ +1 mark -0.33 marks

In a commutation circuit employed to turn off an SCR, satisfactory turn-off is obtained when

Circuit turn-off time < device turn-off time

Circuit turn-off time > device turn-off time

Circuit time constant > device turn-off time

Circuit time constant < device turn-off time

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Q#54 Time Response Analysis GATE EE 1998 MCQ +1 mark -0.33 marks

The output of a linear time invariant control system is c(t) for a certain input r(t). If r(t) modified by passing it through a block whose transfer function is  and then applied to the system, the modified output of the system would be

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Q#55 Synchronous Machines GATE EE 1998 MCQ +1 mark -0.33 marks

A synchronous generator connected to an infinite bus is overexcited. Considering only the reactive power, from the point of view of the system, the machine acts as

a capacitor

an inductor

a resistor

none of the above

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Q#56 Synchronous Machines GATE EE 1998 MCQ +2 marks -0.66 marks

The armature of a single phase alternator is completely wound with T single turn coils distributed uniformly. The induced voltage in each turn is 2V (rms). The emf of the whole winding is

2T volt

1.11 T volt

1.414 T volt        

1.273 T volt

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Q#57 Time Response Analysis GATE EE 1998 MCQ +2 marks -0.66 marks

The Laplace transform of  is:

None of the above

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Q#58 Electro-mechanical Instruments GATE EE 1998 MCQ +1 mark -0.33 marks

A d.c. voltmeter has a sensitivity of 1000 Ω/volt. When it measures half full scale in 100V range, the current through the voltmeter is

100mA      

1Ma

0.5mA      

50mA

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Q#59 DC Machines GATE EE 1998 MCQ +2 marks -0.66 marks

A 240 V DC shunt motor with an armature resistance of 0.5Ω has a full load current of 40A. Find the ratio of the stalling torque to the full load torque when a resistance of 1Ω is connected in series with the armature?

4

12

6

none of the above

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Q#60 DC Machines GATE EE 1998 NAT +2 marks -0 marks

A DC shunt generator delivers 60KW at 240V and 360 rpm. The armature and field resistances are 0.015Ω and 60Ω respectively. Calculate the speed of the machine running as a shunt motor and taking 60KW input at 240V. Allow 1 volt per brush for contact drop.

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Q#61 OP-AMP and its Applications GATE EE 1998 MCQ +2 marks -0.66 marks

Match the column                 

Circuit

(a)        (P) High-pass filter

(b)                 (Q) Amplifier

(c)         (R) Comparator

                                                                              (S) Low-pass filter

(a) => (Q)
(b) => (S)
(c) => (P)

(a) => (R)
(b) => (S)
(c) => (P)

(a) => (P)
(b) => (Q)
(c) => (R)

(a) => (Q)
(b) => (R)
(c) => (S)

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Q#62 Electro-mechanical Instruments GATE EE 1998 MCQ +1 mark -0.33 marks

A moving coil galvanometer is made into a d.c. ammeter by connecting

A low resistance across the meter

A high resistance in series with the meter

A pure inductance across the meter

A capacitor in series with the meter

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Q#63 OP-AMP and its Applications GATE EE 1998 MSQ +2 marks -0 marks

In the circuit shown in fig and, . For the op-amp, , R1 = 100 kΩ and R0 = 50Ω. For V0 = 10V, calculate  and  and estimate the input resistance of the circuit                

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Q#64 Electro-mechanical Instruments GATE EE 1998 NAT +2 marks -0 marks

A moving coil instrument, whose resistance is 5Ω and whose working current (for full-scale deflection) is 0.015A, is to be used, with a manganin shunt, to measure 100A. calculate the error caused by a 10℃ rise in temperature, if the temperature coefficient of copper and manganin are 0.004 ohm/℃, and 0.00015 ohm/℃ respectively.

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Q#65 Transformers GATE EE 1998 MCQ +1 mark -0.33 marks

The efficiency of a 100KVA transformer is 0.98 at full as well as at half load. For this transformer at full load the copper loss

Is less than core loss

Is equal to core loss

Is more than core loss

None of the above

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Q#66 OP-AMP and its Applications GATE EE 1998 MCQ +2 marks -0.66 marks

Show that the circuit given in figure will work as an oscillator at , if ?

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Q#67 Transformers GATE EE 1998 MCQ +1 mark -0.33 marks

The magnetizing current in a transformer is rich in

harmonic

harmonic

 harmonic         

 harmonic

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Q#68 Induction Machines GATE EE 1998 MCQ +1 mark -0.33 marks

A 3 phase squirrel cage induction motor has a full load efficiency of 0.8 and a maximum efficiency of 0.9. it is operated at a slip of 0.6 by applying a reduced voltage. The efficiency of the motor at this operating point is:

less than 0.4

greater than 0.6

in the range of 0.8±0.1

none of the above

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Q#69 Transformers GATE EE 1998 MCQ +2 marks -0.66 marks

A 50Hz transformer having equal hysteresis and eddy current losses at rated excitation is operated at 45Hz at 90% of its rated voltage. Compared to rated operating point, the core losses under this condition:

Reduce by 10%         

Reduce by 19%

Reduce by 14.5%         

Remain unchanged

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Q#70 Transformers GATE EE 1998 MCQ +2 marks -0.66 marks

In a 50 KVA, 11 KV/400V transformers, the iron and copper losses are 500W and 600W respectively under rated conditions. Calculate the efficiency on unity power factor at full load. Find the load for maximum efficiency and the iron and copper losses corresponding to this load.

Iron Loss = 500W, Copper Loss = 500W , Load for maximum efficiency = 45.65 kVA

Iron Loss = 500W, Copper Loss = 500W , Load for maximum efficiency = 55.65 kVA

Iron Loss = 500W, Copper Loss = 1000W , Load for maximum efficiency = 55.65 kVA

Iron Loss = 1000W, Copper Loss = 500W , Load for maximum efficiency = 45.65 kVA

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Q#71 Induction Machines GATE EE 1998 MCQ +2 marks -0.66 marks

Match the column         

                Test        Machine

(A)        No load and         (P) Transformer

                blocked rotor test

(B) Sumpner’s test         (Q) Induction machine

(C) Swinburne’s test         (R) Synchronous machine

                        (S) DC machine

(A) => R
(B) => P
(C) => S

(A) => P
(B) => Q
(C) => R

(A) => Q
(B) => P
(C) => S

(A) => Q
(B) => R
(C) => S

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Q#72 Induction Machines GATE EE 1998 NAT +2 marks -0 marks

A 50 hp, 6 pole, 50 Hz slip-ring induction motor runs at 960 rpm on full load with a rotor current of 40A. Allowing 300W for the copper loss in the short circuiting gear and 1200W for mechanical losses, find the resistance  per phase of the 3 phase rotor winding.

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Q#73 Transmission and Distribution GATE EE 1998 MCQ +1 mark -0.33 marks

The reflection coefficient for the transmission line shown in fig. at P is:

edi

+1

-1

0

0.5

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Q#74 Transmission and Distribution GATE EE 1998 MCQ +1 mark -0.33 marks

Series capacitive compensation in EHV transmission lines is used to

Reduce the line loading

Improve the stability of the system

Reduce the voltage profile

Improve the protection of the file

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Q#75 Transmission and Distribution GATE EE 1998 MCQ +1 mark -0.33 marks

Bulk power transmission over long HVDC lines is preferred, on account of

Low cost of HVDC terminals

No harmonic problems

Minimum line power losses

Simple protection

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Q#76 Transmission and Distribution GATE EE 1998 MCQ +2 marks -0.66 marks

If the length of a wire of resistance R is uniformly stretched to n times its original value, its new resistance is

nR

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Q#77 Transmission and Distribution GATE EE 1998 MCQ +2 marks -0.66 marks

A cable has the following characteristics. .                 

The velocity of wave propagation through the cable is:

32m/s

159.24m/μs

0.0312m/s

159.24m/s

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Q#78 Transmission and Distribution GATE EE 1998 MCQ +2 marks -0.66 marks

A shunt reactor of 100MVAr is operated at 98% of its rated voltage and at 96% of its rated frequency. The reactive power absorbed by the reactor is:

98MVAr

104.02MVAr

96.04MVAr

100.04MVAr

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Q#79 Transmission and Distribution GATE EE 1998 NAT +2 marks -0.66 marks

Each conductor of a 33KV, 3-phase system is suspended by a string of three similar insulars. The ratio of shunt capacitance to mutual capacitance is 0.1. Calculate the voltage across each insulator, and the string efficiency.

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Q#80 Transmission and Distribution GATE EE 1998 NAT +2 marks -0 marks

A circuit consisting of a single resistor R and an inductor L in series is driven by a 25V RMS, 50 Hz sinusoidal voltage source. A capacitor is to be placed in parallel with the source to improve the power factor. Given that the average power dissipated in the R is 100W and that the reactive power delivered to the L is 75VAR, what value of C will yield a 0.9 p.f. lagging as seen by the source?

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