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Q#11 Measurement of R,L and C GATE EE 1991 MCQ +1 mark -0.33 marks

Match the following measuring equipment with their specific application:

(A) Kelvin double bridge                               (P) Capacitance

(B) Wind bridge                                              (Q) Self-inductance

(C) Schering bridge                                       (R) Frequency

(D) Maxwell’s bridge                                     (S) Low resistance

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

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

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

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

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Q#12 Induction Machines GATE EE 1991 MSQ +1 mark -0 marks

In a poly-phase squirrel-cage induction motor, increased starting torque can be obtained by

Increasing the frequency of operation

Using deep-bar rotors

Increasing the number of poles

Using a double-cage rotor

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Q#13 Transmission and Distribution GATE EE 1991 MCQ +2 marks -0.66 marks

When a fixed amount of power is to be transmitted, the efficiency of transmission increases when

Voltage decrease, power factor remains constant

Voltage increases, power factor increases

Voltage decreases, power factor decreases

Voltage constant, power factor decreases

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Q#14 Fault Analysis GATE EE 1991 MCQ +1 mark -0.33 marks

A fault occurring at the terminals at the terminals of an unloaded synchronous generator operating at its rated voltage has resulted in the following values of current and voltage

The fault that has occurred is _________________.

LL

LG

LLL

LLG

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Q#15 Power System Stability GATE EE 1991 NAT +2 marks -0 marks

A generator is supplying 1 per unit power to an infinite bus through the system shown in figure. Following fault at F, circuit breakers  and  open simultaneously. The  relationships in per unit are given by

Pre-fault condition:

During fault condition:

When  remain closed:

After  open:

Calculate the critical angel  before which breakers

 and  must open so that synchronism is not lost.

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Q#16 Load Flow Analysis GATE EE 1991 MCQ +1 mark -0.33 marks

A sample power system network is shown in figure. The reactance’s marked are in p.u. The p.u value of  of the Bus Admittance Matrix  is:

j 10.0

j 0.4

–j 0.1

–j 20.0

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Q#17 Power System Protection GATE EE 1991 MCQ +1 mark -0.33 marks

In a 4 bus system the circuit breakers and the various zones of protection are shown in figure. If the circuit breakers E, F and G trip, the location of the fault is on ___________

1

2

3

4

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Q#18 Power Semiconductor Devices GATE EE 1991 MCQ +1 mark -0.33 marks

The operating state that distinguishes a silicon controlled rectifier (SCR) from a diode is

Forward conduction state

Forwarding blocking state

Reverse conduction state

Reverse blocking state

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Q#19 Chopper GATE EE 1991 MSQ +2 marks -0 marks

Figure shows the circuit schematic of a chopper driven, separately excited d.c. motor. The single-pole double-throw switch operates with a switching period  is 0.2. The motor may be assumed lossless, with an armature inductance of 10 mH. The motor draws an average current of 20A at a constant back emf of 80V, under steady state.

 

(a) Sketch and label the voltage waveform  of the chopper for one switching period

(b) Sketch and label the motor current  for one switching period.

(c) Evaluate the peak-to-peak current ripple of the motor.

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Q#20 Electro-mechanical Instruments GATE EE 1991 MCQ +2 marks -0.66 marks

Two identical watt-meters are connected to measure power in a 3-phase 3-wire balanced load. What is the load power factor if

(a)

(b) Either  is zero ____________

(a) 1  (b) 0.5

(a) 0.67  (b) 0.98

(a) 1  (b) 0.98

(a) 0.45  (b) 0.5

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Q#21 Sequential Circuits GATE EE 1991 MCQ +1 mark -0.33 marks

The three stage Johnson ring counter shown in figure is clock at a constant frequency of  from the starting stage of . The frequency of outputs  will be

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Q#22 Instrument Transformer GATE EE 1991 MCQ +1 mark -0.33 marks

The ratio and phase angle errors in a well designed current transformer (CT) are kept within specified limits by using

Ferrite core

Strip wound core

Some fractional turns

In-built compensating capacitors

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Q#23 Diode and Its Applications GATE EE 1991 NAT +2 marks -0 marks

Figure shows an electric voltage regulator. The zener diode may be assumed to require a minimum current of 25 mA for satisfactory operations. The value of R required for satisfactory voltage regulation of the circuit is

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Q#24 BJT GATE EE 1991 MCQ +2 marks -0.66 marks

Figure below shows a common emitter amplifier. The quiescent collector voltage of the circuit is approximately

10 V

14 V

20 V

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Q#25 OP-AMP and its Applications GATE EE 1991 MCQ +2 marks -0.66 marks

With ideal operational amplifiers, the circuit in figure simulates the output equation

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Q#26 Transfer Function GATE EE 1991 MSQ +1 mark -0 marks

The signal flow graph of figure has ____________ forward paths/and ____________ feedback loops.

forward paths = 4

feedback loops = 5

forward paths = 5

feedback loops = 4

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Q#27 Time Response Analysis GATE EE 1991 MSQ +1 mark -0 marks

A first order system and its response to a unit step input are shown in figure. The system parameters are

a= _______________

K= _______________

Z:\PY\EE\Redreaw figure\control system\update\266-01.jpg

a=5

k=10

a=10

k=5

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Q#28 Root Locus Technique GATE EE 1991 MCQ +2 marks -0.66 marks

A unity feedback system has an open-loop transfer function of the form         

Which of the loci shown in figure can be valid root-loci for the system?

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Q#29 Frequency Domain Analysis GATE EE 1991 MCQ +2 marks -0.66 marks

Which of the following is the transfer function of a system having the Nyquist plot in figure?

C:\Users\a\Desktop\Draw\Untitled-9.png

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Q#30 Two Port Network GATE EE 1991 MCQ +2 marks -0.66 marks

The terminal voltage and currents of a two-port network are indicated on the figure. If the two-port is reciprocal, then

D:\Vol-2\Network Analysis\Two Port Network-01.jpg

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Q#31 Combinational Circuits GATE EE 1991 MCQ +2 marks -0.66 marks

Complete the truth table for the combinational circuit shown in figure.

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Q#32 Transformers GATE EE 1991 MSQ +1 mark -0 marks

The relative current directions through the Primary (P) and Secondary (S) of a single phase transformer connected to a resistive load on the secondary side, are indicated in the various cross-sectional views given in figure. Which of these are correct representations

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Q#33 Synchronous Machines GATE EE 1991 MCQ +1 mark -0.33 marks

Damper winding is provided in a poly-phase synchronous motor in order to

Damp out the noise of the machine

Prevent hunting

Provide starting torque

Provide a cylindrical structure to reduce wind friction

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Q#34 Data Converters GATE EE 1991 NAT +2 marks -0 marks

The resolution of an 8-bit A/D converter is ________________%

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Q#35 Network Theorems - DC Circuits GATE EE 1991 MCQ +2 marks -0.66 marks

The V-I characteristic as seen from the terminal pair (A,B) of the network of figure (a) is shown figure (b), if a variable resistance  is connected across the terminal pair (A,B), the maximum power that can be supplied to  would be

D:\Vol-2\NT-01.jpg

80W

40W

20W

Indeterminate unless the actual network is given

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Q#36 Transient Analysis GATE EE 1991 MCQ +1 mark -0.33 marks

Two coils having equal resistance but different inductances are connected in series.

The time-constant of the series combination is:  

Sum of the time-constants of the individual coils

Average of the time constant of the individual coils

Geometric mean of the time constants of the individual coils

Product of the time-constants of the individual coils

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Q#37 Sinusoidal Steady State Analysis GATE EE 1991 MCQ +1 mark -0 marks

In the figure shown,  are ideal ammeters. If  read 5 and 13A respectively, reading of  will be

Z:\PY\EE\Redreaw figure\Network\updated\67-01.jpg

8A

12A

18A

Indeterminate unless the actual values of R, C and  are specified

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Q#38 DC Machines GATE EE 1991 MCQ +1 mark -0.33 marks

Level compounded D.C generator is used for which of the following applications?

Electric Arc Welding

Electric Traction

Battery Charging

Lighting

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Q#39 OP-AMP and its Applications GATE EE 1991 MSQ +2 marks -0 marks

In figure shown, assume the Zener diode and the operational amplifier to be ideal.        

( gain  )

Gain  characteristics

The equivalent circuit and the gain for

Gain = -2

The equivalent circuit and the gain for
Z:\PY\EE\Redreaw figure\Analog\New\433-02(ii).jpg
Gain = -1

The equivalent circuit for

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Q#40 Measurement of R,L and C GATE EE 1991 MSQ +2 marks -0 marks

Figure shows a bridge for measuring the resistance and inductance of a choke.

If the resistors  can have a variation of  and C a variation of  from their nominal values, estimate the percentage error in the evaluation of R and L.

Percentage error in R =

Percentage error in L =

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Q#41 Instrument Transformer GATE EE 1991 MCQ +1 mark -0.33 marks

Precautions are essential for ensuring that the secondary of a CT is not open circuited when the primary circuit carries a current because

Dangerously high voltage might develop across the secondary

The ferromagnetic core may develop residual magnetism

The reflected impedance may prevent the flow of current in the primary circuit

None of the above

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Q#42 Sinusoidal Steady State Analysis GATE EE 1991 MCQ +2 marks -0.66 marks

A one port active network has an input admittance Y, the magnitude of which is shown in figure as a function of frequency. The circuit is resistive or capacitive in different frequency ranges.

Complete the following table:

Frequency Range

Type of Impedance

Value (Ω/H/F)

10000 rad/sec < ω

A

P

10 rad/sec < ω < 1000 rad/sec

B

Q

D:\Vol-2\SSSA-03.jpg

A= Capacitive, P=C=10μF and B=Inductive  Q=L=0.01H

A= Capacitive, P=C=100μF and B=Inductive  Q=L=0.1H

A=Inductive  P=L=0.01H and B=Capacitive  Q=C=100μF

A= Capacitive, P=C=100μF and B=Inductive  Q=L=0.01H

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Q#43 BJT GATE EE 1991 MSQ +2 marks -0 marks

Figure shows a common emitter amplifier

(a) Simplify the circuit by applying Thevenin’s theorem to the biasing network  at the base of the transistor

(b) Assuming  to be a short for the frequency range considered. Draw the small signal a.c. model of the circuit obtained in (a) by using the simple model for the transistor shown in figure.

(c) Evaluate the small signal gain of the amplifier.

Small signal a.c. model
C:\Users\Ankit\Dropbox\GATE papers\EE papers\Solutions\Analog Electronics\5 marks question\1991\Q19(b)_3.png

   

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Q#44 Transient Analysis GATE EE 1991 MCQ +2 marks -0.33 marks

The switch S in figure is closed at t=0. If  and  respectively, voltages across the capacitors in steady state will be :

D:\Vol-2\Transient Analysis-02.jpg

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Q#45 Synchronous Machines GATE EE 1991 MCQ +1 mark -0.33 marks

A 500 MVA, 11 KV synchronous generator has 0.2 p.u. synchronous reactance. The p.u. synchronous reactance on the base values of 100 MVA and 22 KV is:

0.16

0.01

4.0

0.25

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Q#46 Transfer Function GATE EE 1991 MSQ +2 marks -0 marks

(a) Find the transfer function

 for the network shown in figure.

Z:\PY\EE\Redreaw figure\control system\update\252-02.jpg

(b) What is the order of the system?

(c) Now if the inductance value is changed to 2H, what will be the order of the modified network?

order of the system = 1

order of the system = 2

order of the modified network = 3

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Q#47 Root Locus Technique GATE EE 1991 MSQ +2 marks -0 marks

A unity feedback system has the forward loop transfer function

(c) Without calculating the real-axis breakaway

 points. Sketch the form of root loci for the system

Range of K for stable operation: K>2

Imaginary axis crossover points
 and

Root loci for the system

Untitled-1.png

Range of K for stable operation: K<2

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Q#48 Frequency Domain Analysis GATE EE 1991 MCQ +2 marks -0.66 marks

The system having the Bode magnitude plot shown in figure has the transfer function

Untitled-3.png

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Q#49 Transformers GATE EE 1991 MCQ +2 marks -0.66 marks

The hysteresis and eddy current losses of a single phase transformer working on 200V, 50 Hz supply are  respectively. The percentage decrease in these, when operated on a 160V, 40 Hz supply are :

32, 36

20, 36

25, 20

40, 80

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Q#50 Induction Machines GATE EE 1991 MCQ +2 marks -0 marks

A prime mover drives a 6 pole, 3-phase induction frequency converter. The converter is connected to 60 Hz, 3-phase supply on the primary. If the prime mover speed is 3000 rpm, the frequencies of the possible outputs from the converter are

120 Hz, 60 Hz

90 Hz, 210 Hz

186 Hz, 86 Hz

180 Hz, 210 Hz

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Q#51 Transmission and Distribution GATE EE 1991 MCQ +1 mark -0.33 marks

Ring main distribution system is preferred to a radial system, because

It is less expensive

Voltage drop in the feeder is less

Power factor is higher

Supply is more reliable

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Q#52 Fault Analysis GATE EE 1991 MCQ +2 marks -0.66 marks

A 100 MVA generator with 10% reactance and a 200 MVA generator with 8% reactance (reactances on their own bases) are connected as shown in figure. The fault level on bus 1 is to be restricted to 1500 MVA. Calculate, on 100 MVA base.          

(i) The reactance of bus bar reactor X

(ii) Fault level of bus 2

(iii) MVA rating of circuit breaker C

(i)  X = 0.16 pu

(ii)  Fault Level = 2884.60 MVA

(iii) MVA rating = 750 MVA

(i)  X = 0.26 pu

(ii)  Fault Level = 2884.60 MVA

(iii) MVA rating = 1500 MVA

(i)  X = 0.16 pu

(ii)  Fault Level = 2884.60 MVA

(iii) MVA rating = 1500 MVA

(i)  X = 0.16 pu

(ii)  Fault Level = 3884.60 MVA

(iii) MVA rating = 1500 MVA

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Q#53 DC Machines GATE EE 1991 NAT +2 marks -0 marks

A separately excited d.c. motor has to be run at 125% of rated speed when delivering 50% torque. The excitation will be _______________.

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Q#54 Power System Protection GATE EE 1991 MSQ +2 marks -0 marks

A 50 MVA, 132/66 kV, , three phase power transformer is protected by percentage differential relays. If the current transformers (CTs) located on the delta and wye sides of the power transformer are 300/5A and 1200/5A respectively.        

The output current at full load = 2.104 A

The relay current at full load = 0.2815 A

The minimum relay current setting to permit 25% overload = 17.92%

The minimum relay current setting to permit 25% overload = 18.32%

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Q#55 Power Semiconductor Devices GATE EE 1991 MSQ +2 marks -0 marks

Match the functions of the following protective elements in SCR applications:

(a) => (R)

(b) => (P)

(c) => (S)

(d) => (Q)

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Q#56 Electro-mechanical Instruments GATE EE 1991 NAT +1 mark -0 marks

The current passing through a 10 Ohm resistor of figure (a) has the waveform in figure (b). The reading of the PMMC voltmeter connected across the resistor

 

 

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Q#57 Transformers GATE EE 1991 MCQ +2 marks -0.66 marks

A toroidal iron ring has a uniform cross-sectional area of 50, and a mean magnetic path length of 100mm. the ring has an air-gap of 1mm, the ring is excited with a dc current of 1 A through a coil of 100 turns wound uniformly along its length. The iron may be assumed to be perfect magnetic material. The effect of fringing at the gap may be assumed to increase the effective area of magnetic flux at the gap by 10%.

Evaluate
(a) The exciting mmf of the coil
(b) The effective reluctance of magnetic circuit
(c) The inductance of the coil
(d) The energy stored in the magnetic field under the above excitation.

(a) 100 AT
(b) 1.44 x 10^7 AT/Wb
(c) 0.69mH
(d) 0.345mJ

(a) 1000 AT
(b) 1.44 x 10^7 AT/Wb
(c) 0.59mH
(d) 0.345mJ

(a) 100 AT
(b) 2.44 x 10^7 AT/Wb
(c) 0.69mH
(d) 0.645mJ

(a) 1000 AT
(b) 1.44 x 10^7 AT/Wb
(c) 0.59mH
(d) 0.345mJ

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Q#58 DC Machines GATE EE 1991 MCQ +1 mark -0.33 marks

Match the windings of a large D.C series motor and their functions:

Windings

Function

(A) series field winding

(P) to avoid field distortion under the pole

(B) shunt field winding

(Q) to avoid sparking

(C) commutating pole winding

(R) to generate working flux

(D) compensating winding

(S) to avoid runway speeds on no-load

     (A)   = >   (R)

     (B)    =>   (S)

     (C)    =>   (Q)

     (D)    =>   (P)

     (A)   = >   (P)

     (B)    =>   (R)

     (C)    =>   (Q)

     (D)    =>   (S)

     (A)   = >   (R)

     (B)    =>   (P)

     (C)    =>   (Q)

     (D)    =>   (S)

     (A)   = >   (P)

     (B)    =>   (Q)

     (C)    =>   (R)

     (D)    =>   (S)

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Q#59 Transmission and Distribution GATE EE 1991 MCQ +1 mark -0.33 marks

The mica layer  in a parallel plate capacitor with an effective area of 120 has a damaged section equivalent to a hole of 0.5 mm diameter. Which of the following would be significantly affected by the damage?

Capacitance

Charge

Dielectric breakdown strength

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Q#60 Sinusoidal Steady State Analysis GATE EE 1991 MCQ +2 marks -0.66 marks

In figure calculate

Z:\PY\EE\Redreaw figure\Network\updated\67-03.jpg

(a) The power delivered by each source

(b) The power dissipated in each resistor

(a) -j4.33, 7.5 +j4.33 (b) 4.5, 3

(a) -4.33, 7.5 +j4.33 (b) 4.5, 5

(a) -j4.33, 7.5 +j4.33 (b) 5.5, 3.5

(a) -j4.33, 8.5 +j4.33 (b) 5.5, 3

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Q#61 Induction Machines GATE EE 1991 NAT +2 marks -0 marks

A 5 kW, 400 V, 50 Hz, 4 pole, delta connected three-phase induction motor is supplied by a cable of negligible inductance. On starting the motor using a star-delta starter, it is found that the starting torque is the same on star as well as delta connection, due to the voltage drop in the feeder resistance. The equivalent circuit parameters of the motor are as follows:

Determine the feeder resistance.

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Q#62 Synchronous Machines GATE EE 1991 MSQ +2 marks -0 marks

A 10 kVA, 380V, 4-pole, 50 Hz, star-connected cyclindrical rotor alternator has a stator resistance and synchronous reactance of 1 ohm and 15 ohms respectively. It supplies a load of 8 kW at rated voltage and 0.8 power factor lagging.

Draw a phasor diagram of operation

Express the resistance and synchronous reactance in per unit values with the machine rating as the base

Calculate the percentage regulation

What is the terminal voltage if the load is suddenly removed (with the speed and excitation unaltered)?

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Q#63 Frequency Domain Analysis GATE EE 1991 MSQ +2 marks -0 marks

An underdamped second-order system having a transfer function of the form has a frequency response plot shown in the figure. Then the system gain K is _______________ and the damping factor is approximately ___________________.

System gain K = 2

 Damping factor

System gain K = 1

Damping factor

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Q#64 DC Machines GATE EE 1991 MCQ +2 marks -0.66 marks

A 10 kW, 6 pole, D.C generator develops an EMF of 200V at 1500 rpm. The armature has a lap connected winding. The average flux density over a pole pitch is 0.9 Tesla. The length and diameter of the armature are 0.25m and 0.2m respectively. Calculate

(a) The flux per pole

(b) The total number of active conductors in the armature

(c) The torque developed by the machine when the armature supplies a current of 50A.

(a) Flux per pole = 0.02355 Wb
(b) Number of conductors = 540
(c) Torque developed = 43.69 N-m

(a) Flux per pole = 0.2355 Wb
(b) Number of conductors = 340
(c) Torque developed = 63.69 N-m

(a) Flux per pole = 0.02355 Wb
(b) Number of conductors = 340
(c) Torque developed = 63.69 N-m

(a) Flux per pole = 0.02355 Wb
(b) Number of conductors = 440
(c) Torque developed = 53.69 N-m

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Q#65 Transmission and Distribution GATE EE 1991 MCQ +1 mark -0.33 marks

Two transmission lines are connected in cascade, whose ABCD parameters are         

Respectively. Find the resultant ABCD parameters.

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