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Q#11 MOSFET GATE EE 1999 MCQ +1 mark -0.33 marks

An enhancement type n-channel MOSFET is represented by the symbol

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Q#12 Laplace Transform GATE EE 1999 MCQ +2 marks -0.66 marks

A rectangular current pulse of duration T and magnitude I has the Laplace transform

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Q#13 Boolean Algebra GATE EE 1999 MCQ +2 marks -0.66 marks

The logic function  is the same as

None of (a), (b) (c)

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Q#14 Diode and Its Applications GATE EE 1999 MCQ +1 mark -0.33 marks

The mobility of an electron in a conductor is expressed in terms of

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Q#15 Power System Generation GATE EE 1999 MCQ +2 marks -0.66 marks

An industrial consumer has a daily load pattern of
2000 kW, 0.8 lag for 12 hours, and 1000 kW UPF for 12 hours. The load factor is:

0.5

0.75

0.6

2.0

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Q#16 Sequential Circuits GATE EE 1999 MCQ +2 marks -0.66 marks

For a flip-flop formed from two NAND gates as shown, the unusable state corresponds to

D:\1Mayu\Gate-9\JPG\JPG\1999\1999\Q2_2.5.jpg

X=0, Y=0

X=0, Y=1

X=1, Y=0

X=1, Y=1

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Q#17 Signals GATE EE 1999 MCQ +1 mark -0.33 marks

The RMS value of a half-wave rectified symmetrical square wave current of 2A is:

1A

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Q#18 Diode and Its Applications GATE EE 1999 MCQ +1 mark -0.33 marks

As the temperature is increased, the voltage across a diode carrying a diode carrying a constant current

Increases

Decreases

Remains constant

May increase or decrease depending upon the doping levels in the junction

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Q#19 Combinational Circuits GATE EE 1999 MCQ +2 marks -0.66 marks

The logic function  is to be realized using an 8 to 1 multiplexer shown in figure, using A, C and D as control inputs.

(a) Indicate the inputs to be applied at the terminals 0 to 7

(b) Can the function be realize using a 4 to 1 multiplexer? State YES or NO

(a)


(b) No

(a)

(b) No

(a)  


(b) Yes

(a) 



(b) No

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Q#20 Inverter GATE EE 1999 MCQ +1 mark -0.33 marks

A PWM switching scheme is used with a three phase inverter to

Reduce the total harmonic distortion with modest filtering

Minimize the load on the DC side

Increase the life of the batteries

Reduce low order harmonics and increase high order harmonics

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Q#21 Instrument Transformer GATE EE 1999 MCQ +2 marks -0.66 marks

The ratio error of a given  A current transformer is zero when feeding 5 VA, pf burden at rated current. Estimate the iron loss of the current transformer at this operating condition if the secondary has 198 turns and a winding resistance of . Neglect leakage reactance.

1.15 W

2.30 W

0.57 W

4.60 W

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Q#22 Data Converters GATE EE 1999 MCQ +1 mark -0.33 marks

A single channel digital storage oscilloscope uses a 10 bit,  samples per second Analog-to-Digital converter. For a 100 KHz sine wave input, the number of samples taken per cycle of the input will be

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Q#23 State Variable Analysis GATE EE 1999 MCQ +2 marks -0.66 marks

For the network of Figure, obtain the state equation in terms of capacitor voltage,and inductor current .

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Q#24 Data Converters GATE EE 1999 MCQ +2 marks -0.66 marks

For a dual ADC type  digit DVM, the reference voltage is 100mV and the first integration time is set to 300ms. For some input voltage, the “de-integration” period is 370.2ms. The DVM will indicate

123.4

199.9

100.0

1.141

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Q#25 Transient Analysis GATE EE 1999 MCQ +2 marks -0.66 marks

A rectangular voltage pulse of magnitude V and duration T is applied to a series combination of resistance R and capacitance C. The maximum voltage developed across the capacitor is:

v

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Q#26 BJT GATE EE 1999 MSQ +2 marks -0 marks

For the small signal BJT amplifier shown in fig, Assume β = 100 and Frequency =1 kHz

 

Quiescent collector current = 1mA

Small signal voltage gain = -7.874

Maximum possible swing of the collector current = 4.36 mA

Quiescent collector current = 2mA

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Q#27 Transient Analysis GATE EE 1999 MCQ +2 marks -0.66 marks

When a periodic triangular voltage peak amplitude 1V and frequency 0.5Hz is applied to a parallel combination of 1Ω resistance and 1F capacitance, the current through the voltage source has wave-form

D:\1Mayu\Gate-9\JPG\JPG\1999\1999\Q2_2.4(A).jpg

D:\1Mayu\Gate-9\JPG\JPG\1999\1999\Q2_2.4(B).jpg

D:\1Mayu\Gate-9\JPG\JPG\1999\1999\Q2_2.4(C).jpg

D:\1Mayu\Gate-9\JPG\JPG\1999\1999\Q2_2.4(D).jpg

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Q#28 Transient Analysis GATE EE 1999 MCQ +2 marks -0 marks

In the circuit shown in figure, capacitor is initially charged to 12V. Find the mathematical expression for the voltage across the capacitor  after closing the switch at t=0

C:\Users\Ankit\Dropbox\GATE papers\EE papers\Solutions\network\Network 91-01\Network Images\69.jpg

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Q#29 Network Basics GATE EE 1999 MCQ +1 mark -0.33 marks

For the circuit shown in fig. the capacitance measured between terminals B and Y will be

56.jpg

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Q#30 Frequency Domain Analysis GATE EE 1999 MCQ +2 marks -0.66 marks

The function corresponding to the Bode plot of the figure is                 

C:\Personal\Work\Kreatryx\GATE Solutions\Control Systems\1999_2.7.jpg

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Q#31 Network Basics GATE EE 1999 MCQ +2 marks -0.66 marks

The color code of a 1kΩ resistance is:

black, brown, red

red, brown, brown

brown, black, red

black, black, red

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Q#32 Fault Analysis GATE EE 1999 MCQ +2 marks -0.66 marks

Determine the magnitudes of the symmetrical components  of the currents in a three phase (RYB) three wire system, when a short circuit occurs between R and Y phase wires, the fault current being 100A.

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Q#33 Power System Stability GATE EE 1999 MCQ +1 mark -0.33 marks

Steady state stability of a power system is the ability of the power system to

Maintain voltage at the rated voltage level

Maintain frequency exactly at 50Hz

Maintain a spinning reserve margin at all times

Maintain synchronism between machines and on external tie lines

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Q#34 Network Basics GATE EE 1999 MCQ +2 marks -0.66 marks

When a resistor R is connected to a current source, it consumes a power of 18W. When the same R is connected to a voltage source having the same magnitude as the current source, the power absorbed by R is 4.5W. The magnitude of the current source and the value of R are

and

3A and

1A and 18Ω

6A and 0.5Ω

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Q#35 Network Basics GATE EE 1999 MCQ +2 marks -0.66 marks

Solve the circuit shown in figure using the mesh method of analysis and determine the mesh currents  and  . Evaluate the power developed in the 10V voltage source.

C:\Users\Ankit\Dropbox\GATE papers\EE papers\Solutions\network\Network 91-01\Network Images\67.jpg

\(I_1 = 1A \), \( I_2 = 0A \), \( I_3 = -1A \) and \(Power \ developed = 5W\)

\(I_1 =- 1A \), \( I_2 = 1A \), \( I_3 = -1A \) and \(Power \ developed = 5W\)

\(I_1 = 1A \), \( I_2 = 0A \), \( I_3 = 1A \) and \(Power \ developed = 10W\)

\(I_1 =- 1A \), \( I_2 = 0A \), \( I_3 = 1A \) and \(Power \ developed = 10W\)

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Q#36 Magnetostatics GATE EE 1999 MCQ +1 mark -0.33 marks

Two parallel wires separated by a distance d are carrying a current I in the same direction. The magnetic field along a line running parallel to these wires and midway between them

Depends upon I

Is zero

Depends upon d

Depends upon the permeability of medium between the wires

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Q#37 Sinusoidal Steady State Analysis GATE EE 1999 MCQ +1 mark -0.33 marks

A series R-L-C circuit when excited by a 10V sinusoidal voltage source of variable frequency, exhibits resonance at 100Hz and has a 3 dB bandwidth of 5Hz. The voltage across the inductor L at resonance is:

10V

200V

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Q#38 Power System Protection GATE EE 1999 MCQ +1 mark -0.33 marks

Three sections of a feeder are provided with circuit breakers CB1, CB2, CB3, CB4, CB5 and CB6. For a fault F as indicated in fig.

 

CB5 must be set to trip after CB1 trips

CB5 must be set trip after CB3 and CB4 trips

CB5 must be set to trip after CB2 trip

CB5 must be set to trip before CB1, CB2, CB3 and CB4 trips

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Q#39 Phase Controlled Converter GATE EE 1999 MCQ +1 mark -0.33 marks

Resonant converters are basically used to

Generate large peaky voltage

Reduce the switching losses

Eliminate harmonics

Convert a square wave into a sine wave

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Q#40 Magnetostatics GATE EE 1999 MCQ +1 mark -0.33 marks

An electromagnetic field is radiated from

A stationary point charge

A capacitor with a DC voltage

A conductor carrying a DC current

An oscillating dipole

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Q#41 Electrostatics GATE EE 1999 MCQ +1 mark -0.33 marks

When the plate area of a parallel plate capacitor is increased by keeping the capacitor voltage constant, the force between the plates         

Increase

Decreases

Remains constant

May increase or decrease depending on the metal making up the plates

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Q#42 Sinusoidal Steady State Analysis GATE EE 1999 MCQ +1 mark -0.33 marks

The current in the circuit shown in figure is:

C:\Users\Ankit\Dropbox\GATE papers\EE papers\Typed\Gate-EE-1999\images\Q1_1.12.jpg

5A

10A

15A

25A

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Q#43 Power System Protection GATE EE 1999 NAT +2 marks -0 marks

Determine the required MVA rating of the circuit breaker CB for the system shown in fig. Consider the grid as infinite bus. Choose 6 MVA as base.  

Transformer: 3-phase, 33/11 kV, 6 MVA, 0.01+j0.08p.u. Impedance

Load: 3-phase, 11 kV, 5800 MVA, 0.8 lag, j0.2p.u. Impedance

Impedance of each feeder 9+j18 Ω

 

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Q#44 Phase Controlled Converter GATE EE 1999 MSQ +2 marks -0 marks

A three phase diode bridge is used to provide rectified output from a 400V, 50Hz, 3-phase supply to a R-L load with 10 Ω resistance and 300mH inductance.

DC level of the output voltage = 540.19 V

RMS value of the diode current = 31.18 A

RMS value of the source current = 44.10 A

Apparent power drawn from the mains = 30.557 KVA

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Q#45 Sinusoidal Steady State Analysis GATE EE 1999 MCQ +2 marks -0.66 marks

Currents , and   meet at a junction (node) in a circuit. All currents are marked as entering the node.

If  and , then  will be

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Q#46 Electrostatics GATE EE 1999 MSQ +2 marks -0 marks

A charge +Q uniformly distributed throughout the volume of a dielectric sphere of radius R and dielectric constant based on Gauss law, determine the expressions for the electric field E as a function of distance r from the centre of the sphere, within the ranges 0<r<R and . Indicate expression(s) for the critical point(s) on the sketch.

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Q#47 Sinusoidal Steady State Analysis GATE EE 1999 MCQ +2 marks -0.66 marks

A fixed capacitor of reactance –j0.02 kΩ is connected in parallel across a series combination of a fixed inductor of reactance j0.01 kΩ and a variable resistance R. As R is varied from zero to infinity, the locus diagram of the admittance of this L-C-R circuit will be

A semi-circle of diameter j 100 and center at zero

A semi-circle of diameter j 50 and center at zero

A straight line inclined at an angle

A straight line parallel to the x-axis

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Q#48 Sinusoidal Steady State Analysis GATE EE 1999 MCQ +2 marks -0.66 marks

The voltage phasor of a circuit is  and the current phasor is A. The active and the reactive powers in the circuit are:

10W and 17.32 VAr

5W and 8.66 VAr

20W and 60 VAr

and

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Q#49 Sinusoidal Steady State Analysis GATE EE 1999 MCQ +2 marks -0.66 marks

A constant voltage frequency sinusoidal voltage source of magnitude  is connected to a series circuit made of a resistance of 15Ω, a coil of winding resistance R and inductance L and a 50μF capacitor. The voltage across the 15Ω resistors is 30V, across the coil is 50V, across the capacitor is 40V, The voltage across the combination of the 15Ω resistor and the coil together is 72.11V. Determine the values of the inductance L, winding resistance R and the source voltage V.

L=0.01H, R=15Ω  and V=60V

L=0.02H, R=30Ω  and V=60V

L=0.02H, R=15Ω  and V=30V

L=0.02H, R=15Ω  and V=60V

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Q#50 Synchronous Machines GATE EE 1999 MCQ +1 mark -0.33 marks

Higher synchronous reactance is preferred in the present day alternators, because one can have

Reduced sub-transient currents

Reduced harmonic currents

Reduced transient currents

Higher voltage regulation with load

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Q#51 Synchronous Machines GATE EE 1999 MCQ +2 marks -0.66 marks

A three phase alternator is wound with a 60 degree phase-spread armature windings and develops 300 kVA. If the armature is reconnected utilizing all the coils for single phase operation with a phase spread of 180 degrees, the new rating of the machine is

100 kVA

200 kVA

250 kVA

300 kVA

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Q#52 Synchronous Machines GATE EE 1999 NAT +2 marks -0 marks

A 5 MVA, 11 kV, 3-phase star connected alternator is synchronized to the bus bars and is operating with an induced EMF of 125% of the rated voltage. If the load current is 500A, what is the power factor of operation? The machine has a synchronous reactance of 5Ω and negligible resistance per phase.

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Q#53 DC Machines GATE EE 1999 MCQ +1 mark -0.33 marks

A 4-pole lap-wound DC generator has a developed power of P watts and voltage of E volts. Two adjacent brushes of the machine are removed as they are worn out. If the machine operates with the remaining brushes, the developed voltage and power that can be obtained from the machine are

E, P

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Q#54 DC Machines GATE EE 1999 MCQ +2 marks -0.66 marks

A DC shunt motor is running at 1200 rpm, when excited with 220V DC. Neglecting the losses and saturation, the speed of the motor when connected to a 175V DC supply is:

750 RPM

900 RPM

1050 RPM

1200 RPM

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Q#55 Electro-mechanical Instruments GATE EE 1999 MCQ +1 mark -0.33 marks

Electrodynamic type watt-meters have large errors while measuring power in ac circuits at low power factor conditions, since the voltage across  and the current through the

Current coil are not in phase

Current coil are not in quadrature

Pressures coil are not in phase

Pressure coil are not in quadrature

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Q#56 OP-AMP and its Applications GATE EE 1999 MCQ +2 marks -0.66 marks

The input voltage  in the circuit shown in fig is a 1 kHz sine wave of 1V amplitude. Assume ideal operational amplifiers with  supply. Sketch on a single diagram the waveforms of the voltages and  shown, indicating the peak value of  and the average value  

None

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Q#57 DC Machines GATE EE 1999 NAT +2 marks -0 marks

A separately excited DC shunt motor is driving a fan load whose torque is proportional to the square of the speed. When 100V are applied to the motor, the current taken by the motor is 8A, with the speed being 500 rpm. At what applied voltage does the speed reach 750 rpm and then what is the current drawn by the armature? Assume the armature circuit resistance to be 1Ω. Neglect brush and mechanical losses

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Q#58 Electro-mechanical Instruments GATE EE 1999 MCQ +2 marks -0.66 marks

A current of

 is measured with a thermocouple type, 5A full-scale, class 1 meter. The meter reading would lie in the range

   

 

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Q#59 Electro-mechanical Instruments GATE EE 1999 MCQ +2 marks -0.66 marks

Two 100μA full-scale PMMC meters are employed to construct a 10V and a 100V full scale voltmeter. These meters will have figures of merit (sensitivities) as

10kΩ/V and 10kΩ/V

100kΩ/V and 10kΩ/V

10kΩ/V and 100kΩ/V

10kΩ/V and 1kΩ/V

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Q#60 Electro-mechanical Instruments GATE EE 1999 MSQ +2 marks -0 marks

For the circuit shown in figure, the internal resistance of the armatures as well as that of the current coil of the wattmeter are zero and the voltmeters have a very large figure of merit.  is a 6A full scale moving iron type meter.  is a commercial full wave rectifier type meter of full scale 5A.  is a 500V meter of the peak response type.  is a 300V PMMC type meter and W is an electrodynamometer type, 5A, 230V wattmeter. Determine the readings of  and W.

 

W = 563.20 W

W = 573.20 W

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Q#61 Transformers GATE EE 1999 MCQ +1 mark -0.33 marks

The winding of a Q kVA,  volt, three-phase, Delta connected, core type transformer are reconnected to work as a single phase transformer. The maximum voltage and the power ratings of the new configuration are

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Q#62 Transformers GATE EE 1999 MCQ +2 marks -0.66 marks

A 10kVA, 400 V/200V single-phase transformers with 10% impedance draws a steady short circuit line current of

50A

150A

250A

350A

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Q#63 Induction Machines GATE EE 1999 MCQ +1 mark -0.33 marks

Starting torque can be obtained in the case of a single phase induction motor with identical main and auxiliary windings by connecting

A capacitor across the mains

A capacitor in series with the machine

A capacitor in series with the auxiliary winding

The main and the auxiliary windings in series

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Q#64 Transformers GATE EE 1999 MCQ +2 marks -0.66 marks

The percentage resistance and percentage reactance of a 10kVA, 400V/200V, 3-phase transformer are 2% and 10% respectively. If the constant losses in the machine are 1%, the maximum possible percentage efficiency of the transformer is:

98.32

97.25

96.85

96.12

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Q#65 Induction Machines GATE EE 1999 MCQ +1 mark -0.33 marks

The following starting method for an induction motor is inferior view of the poor starting torque per ampere of the line current drawn:

Direct line starting

Auto transformer method of starting

Series inductor method of starting

Star-Delta method of starting

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Q#66 Transformers GATE EE 1999 MCQ +2 marks -0.66 marks

A 400V/100V, 10 kVA two-winding transformer is reconnected as an auto-transformer across a suitable voltage source. The maximum rating of such an arrangement could be

50 kVA

15 kVA

12.5 kVA

8.75 kVA

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Q#67 Induction Machines GATE EE 1999 NAT +2 marks -0 marks

A 3 kW, 400V/200V, Delta/Star, 50Hz, three phase, 6-pole induction motor is found to draw a line current of 25A at a power factor of 0.4, when a blocked rotor test is conducted at the rated voltage. The stator and rotor winding resistances in ohms per phase are A and B, if the torque developed by the motor under the above conditions is 25 N-m. Find A+B=

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Q#68 Transformers GATE EE 1999 MCQ +2 marks -0.66 marks

A 10 kVA, 400V/200V, single transformer with a percentage resistance of 3% and percentage reactance of 6% is supplying a current of 50A to a resistive load. The value of the load voltage is:

194V

390V

192V

196V

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Q#69 Transformers GATE EE 1999 MCQ +2 marks -0.66 marks

Two single-phase transformers A and B have the following parameters:

Transformer A: 10V/200V, percentage resistance and percentage reactance 3% and 4% respectively.

Transformer B: 5 kVA, 400V/200V, percentage resistance and percentage reactance are 4% and 3% respectively.

These two transformers are connected in parallel and they share a common load of 12 kW at a power factor of 0.8 lagging. Determine the active and reactive power delivered by the transformer A.

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Q#70 Transmission and Distribution GATE EE 1999 MCQ +1 mark -0.33 marks

An overhead line having a surge impedance of 400Ω is connected in series with an underground cable having a surge impedance of 100Ω. If a surge of 50kV travels from the line end towards the line-cable junctions, the value of the transmitted voltage wave at the junction is:

30 kV

20 kV

80 kV

-30 kV

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Q#71 Transmission and Distribution GATE EE 1999 MCQ +1 mark -0.33 marks

The load carrying capability of a long AC transmission line is:

Always limited by the conductor size

Limited by stability considerations

Reduced at a low ambient temperatures

Decreased by the use of bundled conductors of single conductors

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Q#72 Transmission and Distribution GATE EE 1999 MCQ +1 mark -0.33 marks

Corona losses are minimized when

Conductor size is reduced

Smooth conductor is reduced

Sharp points are provided in the line hardware

Current density in conductors is reduced

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Q#73 Transmission and Distribution GATE EE 1999 MCQ +1 mark -0.33 marks

In a DC transmission line

It is necessary for the sending end and receiving end to be operated in synchronism

The effects of inductive and capacitive reactance’s are greater than in an AC transmission line of the same rating.

There are not effects due to inductive and capacitive reactance’s

Power transfer capability is limited by stability considerations

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Q#74 Transmission and Distribution GATE EE 1999 MCQ +2 marks -0.66 marks

For a single phase overhead line having solid copper conductors of diameter 1cm, spaced 60cm between centers, the inductance in mH/km is:

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Q#75 Transmission and Distribution GATE EE 1999 MCQ +2 marks -0.66 marks

A single phase AC distributor supplies two single phase loads as shown in fig. The voltage drop from A to C is:

4.5V

31.5V

30V

20V

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Q#76 Transmission and Distribution GATE EE 1999 MCQ +2 marks -0.66 marks

A 220kV, 20 km long , 3-phase transmission line has the following A, B, C, D constants. , ,

11A

220A

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Q#77 Transmission and Distribution GATE EE 1999 MCQ +2 marks -0.66 marks

A 3-phase, 11kV, 50 Hz, 200 kW load has a power factor of 0.8lag. A delta connected 3-phase capacitor is used to improve the power factor to unity. The capacitance power phase of the capacitor in microfarads is

3.948

1.316

0.439

11.844

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Q#78 Transmission and Distribution GATE EE 1999 MCQ +2 marks -0.66 marks

A 6.6kV, 50Hz, single core lead-sheathed cable has the following data:                

Conductor diameter: 1.5cm, length: 4km

Internal diameter of the sheath: 3cm

Resistivity of insulation:  

Relative permittivity of insulation: 3.5

Calculate:

(a) The insulation resistance

(b) The capacitance and

(c) The maximum electric stress in the insulation

(a) 35.85 Mohm
(b) 180.74 PF
(c) Maximum Electric stress = 7.33 kV/cm

(a) 35.85 Mohm
(b) 280.91 PF
(c) Maximum Electric stress = 6.33 kV/cm

(a) 35.85 Mohm
(b) 280.91 PF
(c) Maximum Electric stress = 7.33 kV/cm

(a) 35.85 Kohm
(b) 280.91 PF
(c) Maximum Electric stress = 6.33 kV/cm

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Q#79 Transmission and Distribution GATE EE 1999 NAT +2 marks -0 marks

A 66 kV, 3-phase, 50Hz, 150km long overhead transmission line is open circuited at the receiving end. Each conductor has a resistance of 0.25 Ω/km, an inductive reactance of 0.5 Ω/km and a capacitive admittance to neutral of

Draw the nominal π-equivalent circuit and Calculate the receiving end voltage (kV) if the sending end voltage is 66kV

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Q#80 Transmission and Distribution GATE EE 1999 MCQ +2 marks -0.66 marks

In a transmission line each conductor is at 20 kV and is supported by a string of 3 suspension insulators. The air capacitance between each cap-pin junction and tower is one-fifth of the capacitance C of each insulator unit. A guard ring, effective only over the line-end insulator unit is fitted so that the voltages on the two units nearest the line-end are equal                 

(a) Calculate the voltage on the line-end unit

(b) Calculate the value of capacitance  required

(a) 7.05kV
(b) 0.367C

(a) 8.05kV
(b) 0.367C

(a) 5.88kV
(b) 0.567C

(a) 4.56kV
(b) 0.367C

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