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Q#11 Digital Instruments GATE EE 2009 MCQ +2 marks -0.66 marks

An average-reading digital multi meter reads 10V when fed with a triangular wave, symmetric about the time-axis. For the same input an rms-reading meter will read

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Q#12 Diode and Its Applications GATE EE 2009 MCQ +1 mark -0.33 marks

The following circuit has a source voltage Vs as shown in the graph. The current through the circuit is also shown.

The element connected between a and b could be

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Q#13 Logic Family GATE EE 2009 MCQ +1 mark -0.33 marks

The increasing order of speed of data access for the following devices is

(i) Cache Memory

(ii) CDROM

(iii) Dynamic RAM

(iv) Processor Registers

(v) Magnetic Tape

(v), (ii), (iii), (iv), (i)

(v), (ii), (iii), (i), (iv)

(ii), (i). (iii), (iv), (v)

(v). (ii), (i), (iii), (iv)

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Q#14 Probability and Statistics GATE EE 2009 MCQ +2 marks -0.66 marks

Assume for simplicity that N people, all born in April (a month of 30 days), are collected in a room.  Consider the event of at least two people in the room being born on the same date of the month, even if in different years. e.g. 1980 and 1985. What is the smallest N so that the probability of this event exceeds 0.5 ?        

20

7

15

16

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Q#15 Numerical Methods GATE EE 2009 MCQ +2 marks -0.66 marks

Let .  The iterative steps for the solution using Newton-Raphson's method is given by        

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Q#16 Error Analysis GATE EE 2009 MCQ +1 mark -0.33 marks

The measurement system shown in the figure uses three sub-systems in cascade whose gains are specified as  and . The relative small errors associated with each respective subsystem as  and  are  and . The error associated with the output is:

 

     

 

     

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Q#17 Power System Generation GATE EE 2009 MCQ +1 mark -0.33 marks

Out of the following plant categories

(i) Nuclear

(ii) Run-of-river

(iii) Pump Storage

(iv) Diesel

The base load power plants are

(i) and (ii)

(ii) and (iii)

(i), (ii) and (iv)

(i), (iii) and (iv)

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Q#18 Boolean Algebra GATE EE 2009 MCQ +1 mark -0.33 marks

The complete set of only those Logic Gates designated as Universal Gates is

NOT, OR and AND Gates

XNOR, NOR and NAND Gates

NOR and NAND Gates

XOR, NOR and NAND Gates

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Q#19 Calculus GATE EE 2009 MCQ +2 marks -0.66 marks

f (x, y) is a continuous function defined over.  Given the two constraintsand  , the volume under f(x, y) is        

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Q#20 LTI Systems GATE EE 2009 MCQ +1 mark -0.33 marks

A Linear Time Invariant system with an impulse response h(t) produces output y(t) when input x(t) is applied. When the input  is applied to a system with impulse response , the output will be

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Q#21 Amplifiers GATE EE 2009 MCQ +1 mark -0.33 marks

The nature of feedback in the op-amp circuit shown is

Current - Current feedback

Voltage - Voltage feedback

Current - Voltage feedback

Voltage - Current feedback

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Q#22 Z Transform GATE EE 2009 MCQ +2 marks -0.66 marks

The z-transform of a signal x[n] is given by.  It is applied to a system, with a transfer function.  Let the output be y(n). Which of the following is true?

y(n) is non casual with finite support

y(n) is casual with infinite support

;;

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Q#23 Calculus GATE EE 2009 MCQ +2 marks -0.66 marks

A cubic polynomial with real coefficients        

Can possibly have no Extrema and no zero crossings

May have up to three Extrema and up to 2 zero crossings

Cannot have more than two Extrema and more than three zero crossings

Will always have an equal number of Extrema and zero crossings

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Q#24 Fourier Series GATE EE 2009 MCQ +2 marks -0.66 marks

The Fourier Series coefficients, of a periodic signal x(t), expressed as are given by ; ;  ;  ; ; and for  .  Which of the following is true?

x(t) has finite energy because only finitely many coefficients are non-zero

x(t) has zero average value because it is periodic

The imaginary part of x(t) is constant

The real part of x(t) is even

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Q#25 LTI Systems GATE EE 2009 MCQ +2 marks -0.66 marks

A cascade of 3 Linear Time Invariant systems is causal and unstable. From this, we conclude that

Each system in the cascade is individually causal and unstable

At least one system is unstable and at least one system is causal

At least one system is causal and all systems are unstable

The majority are unstable and the majority are causal

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Q#26 Network Theorems - DC Circuits GATE EE 2009 MCQ +2 marks -0.66 marks

For the circuit shown, find out the current flowing through the 2Ω resistance. Also identify the changes to be made to double the current through the 2Ω resistance.

Q47.jpg

(5A; Put = 20V)

(2A; Put = 8V)

(5A; Put = 10V)

(7A; Put = 12V)

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Q#27 Calculus GATE EE 2009 MCQ +2 marks -0.66 marks

It's line integral over the straight line from  evaluates to        

−8

4

8

0

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Q#28 Network Theorems - DC Circuits GATE EE 2009 MCQ +2 marks -0.66 marks

For the circuit given, the Thevenin's resistance across the terminals A and B is

Q59.jpg

0.5 kΩ

0.2 kΩ

1 kΩ

0.11 kΩ

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Q#29 Network Theorems - DC Circuits GATE EE 2009 MCQ +2 marks -0.66 marks

For the circuit given, the Thevenin's voltage across the terminals A and B is 

Q59.jpg

1.25 V

0.25 V

1 V

0.5 V

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Q#30 CRO GATE EE 2009 MCQ +1 mark -0.33 marks

The two inputs of a CRO are fed with two stationary periodic signals. In the X-Y mode, the screen shows a figure which changes from ellipse to circle and back to ellipse with its major axis changing orientation slowly and repeatedly. The following inference can be made from this.

The signals are not sinusoidal

The amplitudes of the signals are very close but not equal

The signals are sinusoidal with their frequencies very close but not equal

There is a constant but small phase difference between the signals

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Q#31 Load Flow Analysis GATE EE 2009 MCQ +2 marks -0.66 marks

For the Y-bus matrix of a 4-bus system given in per unit, the buses having shunt elements are

3 and 4

2 and 3

1 and 2

1, 2 and 4

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Q#32 Inverter GATE EE 2009 MCQ +2 marks -0.66 marks

The Current Source Inverter shown in figure is operated by alternately turning on thyristor pairs and . If the load is purely resistive, the theoretical maximum output frequency obtainable will be

Q44.jpg

125 kHz  

250 kHz

500 kHz

50 kHz

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Q#33 Stability GATE EE 2009 MCQ +1 mark -0.33 marks

The first two rows of Routh's tabulation of a third order equation are as follows.                 

The means there are

Two roots at s = ±j and one root in right half s-plane.

Two roots at s = ±j2 and one root in left half s-plane.

Two roots at s = ±j and one root in right in half s-plane.

Two roots at s = ±j and one root in left half s-plane.

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Q#34 State Variable Analysis GATE EE 2009 MCQ +2 marks -0.66 marks

A system is described by the following state and output equations

Where u(t) is the input and y(t) is the output.

The system transfer function is

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Q#35 Chopper GATE EE 2009 MCQ +2 marks -0.66 marks

In the chopper circuit shown, the main thyristor  is operated at a duty ratio of 0.8 which is much larger the commutation interval. If the maximum allowable reapplied dv/dt on  is , what should be the theoretical minimum value of ? Assume current ripple through  to be negligible.

 

0.2 µF

0.02 µF

2 µF

20 µF

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Q#36 Power System Stability GATE EE 2009 MCQ +2 marks -0.66 marks

A 500 MW, 21 kV, 50 Hz, 3-phase, 2-pole synchronous generator having a rated p.f = 0.9, has a moment of inertia of . The inertia constant (H) will be

2.44 s

2.71 s

4.88 s

5.42 s

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Q#37 State Variable Analysis GATE EE 2009 MCQ +2 marks -0.66 marks

A system is described by the following state and output equations

Where u(t) is the input and y(t) is the output.

The state-transition matrix of the above system is

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Q#38 Microprocessor GATE EE 2009 MCQ +2 marks -0.66 marks

In an 8085 microprocessor, the contents of the Accumulator, after the following instructions are executed will become

XRA A

MVI B F0H

SUB B

01 H

0F H

F0 H

10 H

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Q#39 Frequency Domain Analysis GATE EE 2009 MCQ +1 mark -0.66 marks

The polar plot of an open loop stable system is shown below. The closed loop system is

Q17.jpg

Always stable

Marginally stable

Unstable with one pole on the RH s-plane

Unstable with two poles on the RH s-plane

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Q#40 Transient Analysis GATE EE 2009 MCQ +2 marks -0.66 marks

In the figure shown, all elements used are ideal. For time t < 0, \(S_1\) remained closed and \(S_2\) open. At
t = 0, 
\(S_1\) is opened and \(S_2\) is closed.  If the voltage \(Vc_2\) across the capacitor \(C_2\) at t = 0 is zero, the voltage across the capacitor combination at  will be

Q22.jpg

1V

2V

1.5V

3V

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Q#41 BJT GATE EE 2009 MCQ +2 marks -0.66 marks

Transformer and emitter follower can both be used for impedance matching at the output of an audio amplifier. The basic relationship between the input power  and output power  in both the cases is

 for both transformer and emitter follower

 for both transformer and emitter follower

 for transformer and  for emitter follower

 for transformer  for emitter follower

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Q#42 Frequency Domain Analysis GATE EE 2009 MCQ +1 mark -0.33 marks

The asymptotic approximation of the log-magnitude v/s frequency plot of a system containing only real poles and zeros is shown. Its transfer function is

Q19.jpg

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Q#43 Frequency Domain Analysis GATE EE 2009 MCQ +2 marks -0.66 marks

The open loop transfer function of a unity feedback system is given by .  The gain margin of this system is

11.95 dB

17.67 dB

21.33 dB

23.9 dB

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Q#44 Linear Algebra GATE EE 2009 MCQ +1 mark -0.33 marks

The trace and determinant of a 2 × 2 matrix are known to be -2 and -35 respectively. Its Eigen values are

−30 and 5

−37 and −1

−7 and 5

17.5 and −2

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Q#45 Network Basics GATE EE 2009 MCQ +1 mark -0.33 marks

The current through the 2kΩ resistance in the circuit shown is

Q7.jpg

0 mA

1 mA

2 mA

6 mA

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Q#46 Network Basics GATE EE 2009 MCQ +1 mark -0.33 marks

How many 200W/220V incandescent lamps connected in series would consume the same total power as a single 100W/220V incandescent lamp?

Not possible

4

3

2

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Q#47 Power System Protection GATE EE 2009 MCQ +2 marks -0.66 marks

Match the items in List-I with the items in List-II and select the correct answer using the codes given below the lists

a 2, b1, c3

a 3, b2, c1

a 1, b2, c3  

a 1, b3, c2

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Q#48 Power Semiconductor Devices GATE EE 2009 MCQ +1 mark -0.33 marks

An SCR is considered to be a semi-controlled device because

It can be turned OFF but not ON with a gate pulse

It conducts only during one half-cycle of an alternating current wave

It can be turned ON but not OFF with a gate pulse

It can be turned ON only during one half-cycle of an alternating voltage wave

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Q#49 Power Semiconductor Devices GATE EE 2009 MCQ +2 marks -0.66 marks

Match the switch arrangements on the top row to the steady-state V-I characteristics on the lower row.  The steady state operating points are shown by large black dots.

        

        

        

A-I, B-II, C-III, D-IV

A-II, B-IV, C-I, D-III

A-IV, B-III, C-I, D-II

A-IV, B-III, C-II, D-I

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Q#50 Time Response Analysis GATE EE 2009 MCQ +2 marks -0.66 marks

The unit-step response of a unity feedback system with open loop transfer function  is shown in the figure.  The value of K is

Q27.jpg

0.5

2

4

6

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Q#51 Sinusoidal Steady State Analysis GATE EE 2009 MCQ +2 marks -0.66 marks

The equivalent capacitance of the input loop of the circuit shown is

Q24.jpg

2 µF

100 µF

200 µF

4 µF

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Q#52 Phase Controlled Converter GATE EE 2009 MCQ +2 marks -0.66 marks

The circuit shows an ideal diode connected to a pure inductor and is connected to a purely sinusoidal 50Hz voltage source. Under Ideal conditions the current waveform through the inductor will look like

 

 

 

 

 

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Q#53 Electro-mechanical Instruments GATE EE 2009 MCQ +1 mark -0.33 marks

The pressure coil of a dynamometer type wattmeter is

Highly inductive    

Highly resistive

Purely resistive    

Purely inductive

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Q#54 OP-AMP and its Applications GATE EE 2009 MCQ +2 marks -0.66 marks

The following circuit has R = 10kΩ, C = 10µF.  The input voltage is a sinusoid at 50Hz with an RMS value of 10V. Under ideal conditions, the current  from the source is

 leading by 90°

leading by 90°

10mA leading by 90°

 leading by 90°

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Q#55 DC Machines GATE EE 2009 MCQ +2 marks -0.66 marks

Figure shows the extended view of a 2 pole dc machine with 10 armature conductors. Normal brush positions are shown by A and B, placed at the inter-polar axis. If the brushes are now shifted, in the direction of rotation, to A' and B' as shown, the voltage waveform  will resemble

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Q#56 OP-AMP and its Applications GATE EE 2009 MCQ +2 marks -0.66 marks

An ideal op-amp circuit and its input waveform are shown in the figures. The output waveform of this circuit will be                 

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Q#57 Electro-mechanical Instruments GATE EE 2009 MCQ +2 marks -0.66 marks

The figure shows a three-phase delta connected load supplied from a 400V, 50 Hz, 3-phase balanced source. The pressure coil (PC) and current coil (CC) of a wattmeter are connected to the load as shown, with the coil polarities suitably selected to ensure a positive deflection. The wattmeter reading will be

 

0

1600 Watt

800 Watt

400 Watt

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Q#58 Synchronous Machines GATE EE 2009 MCQ +1 mark -0.33 marks

A field excitation of 20 A in a certain alternator results in an armature current of 400 A in short Circuit and a terminal voltage of 2000 V on open circuit. The magnitude of the internal voltage drop within the machine at a load current of 200 A is

1V

10V

100V

1000V

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Q#59 Transformers GATE EE 2009 MCQ +1 mark -0.33 marks

The single phase, 50Hz, iron core transformer in the circuit has both the vertical arms of cross sectional area  and both the horizontal arms of cross sectional area . If the two windings shown were wound instead on opposite horizontal arms, the mutual inductances will

Double

Remain same

Be halved

Become one quarter

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Q#60 Transformers GATE EE 2009 MCQ +2 marks -0.66 marks

Z:\PY\EE\Subject wise\figure.jpg

With both S1 and S2 open, the core flux waveform will be

A sinusoid at fundamental frequency

Flat-topped with third harmonic

Peaky with third-harmonic

None of these

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Q#61 Transformers GATE EE 2009 MCQ +2 marks -0.66 marks

Z:\PY\EE\Subject wise\figure.jpg

With S2 closed and S1 open, the current waveform in the delta winding will be

A sinusoid at fundamental frequency

Flat-topped with third harmonic

Only third-harmonic

None of these

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Q#62 Transformers GATE EE 2009 MCQ +2 marks -0.66 marks

The circuit diagram shows a two-winding, loss less transformer with no leakage flux, excited from a current source, i(t), whose waveform is also shown. The transformer has a magnetizing inductance of 400/π mH.

The peak voltage across A and B, with S open is

400/π V

800 V

4000/π V

800/π V

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Q#63 Transformers GATE EE 2009 MCQ +2 marks -0.66 marks

The circuit diagram shows a two-winding, loss less transformer with no leakage flux, excited from a current source, i(t), whose waveform is also shown. The transformer has a magnetizing inductance of 400/π mH.

If the waveform of i(t) is changed to , the peak voltage across A and B with S closed is

400 V

240 V

320 V

160 V

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Q#64 Induction Machines GATE EE 2009 MCQ +1 mark -0.33 marks

A 3-phase squirrel cage induction motor supplied from a balanced 3-phase source drives a mechanical load. The torque-speed characteristics of the motor (solid curve) and of the load (dotted curve) are shown. Of the two equilibrium points A and B. which of the following options correctly describes the stability of A and B?

Q15.jpg

A is stable B is unstable

A is unstable B is stable

Both are stable

Both are unstable

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Q#65 Transformers GATE EE 2009 MCQ +2 marks -0.66 marks

The figure below shows coils 1 and 2, with dot markings as shown, having 4000 and 6000 turns respectively. Both the coils have a rated current of 25 A. Coil 1 is excited with single phase, 400 V, 50 Hz supply.

The coils are to be connected to obtain a single phase, 400/1000 V, auto-transformer to drive a load of 10kVA. Which of the options given should be exercised to realize the required auto-transformer?

Connect A and D; Common B

Connect B and D; Common C

Connect A and C; Common B

Connect A and C; Common D

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Q#66 Transformers GATE EE 2009 MCQ +2 marks -0.66 marks

The figure below shows coils 1 and 2, with dot markings as shown, having 4000 and 6000 turns respectively. Both the coils have a rated current of 25 A. Coil 1 is excited with single phase, 400 V, 50 Hz supply.

In the autotransformer obtained in Question 57, the current in each coil is

Coil-1 is 25 A and Coil-2 is 10 A

Coil-1 is 10 A and Coil-2 is 25 A

Coil-1 is 10 A and Coil-2 is 15 A

Coil-1 is 15 A and Coil-2 is 10 A

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Q#67 Induction Machines GATE EE 2009 MCQ +2 marks -0.66 marks

A 220V, 50 Hz, single-phase induction motor has the following connection diagram and winding orientations shown. MM’ is the axis of the main stator winding  and AA' is that of the auxiliary winding . Directions of the winding axes indicate direction of .flux when currents in the windings are in the directions shown. Parameters of each winding are indicated.  When switch S is closed, the motor.

C:\Users\Ankit\Dropbox\GATE papers\EE papers\Typed\Gate-EE-2009\Figures\Q42.jpg

rotates clockwise

rotates anticlockwise

does not rotate

rotates momentarily and comes to a halt

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Q#68 Transmission and Distribution GATE EE 2009 MCQ +1 mark -0.33 marks

For a fixed value of complex power flow in a transmission line having a sending end voltage V, the real power loss will be proportional to

V

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Q#69 Transmission and Distribution GATE EE 2009 MCQ +2 marks -0.66 marks

Match the items in List-I with the items in List-II and select the correct answer using the codes given below the lists.

List I

List II

To

Use

a. Improve power factor

1. shunt reactor

b. Reduce the current ripples

2. shunt capacitor

c. Increase the power flow in line

3. series capacitor

d. Reduce the Ferranti effect

4. series reactor

a →2, b→3, c→4, d→1

a →2, b→4, c→3, d→1

a →4, b→3, c→1, d→2

a →4, b→1, c→3, d→2

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Q#70 Transmission and Distribution GATE EE 2009 MCQ +2 marks -0.66 marks

Three generators are feeding a load of 100 MW. The details of the generators are

Rating

(MW)

Efficiency (%)

Regulation (p.u.) on 100 MAVA base

Generator-1

100

20

0.02

Generator-2

100

30

0.04

Generator-3

100

40

0.03

In the event of increased load power demand, which of the following will happen?

All the generators will share equal power

Generator-3 will share more power compared to Generator-1

Generator-1 will share more power compared to Generator-2

Generator-2 will share more power compared to Generator-3

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