All questions of Electrical Machines for Electrical Engineering (EE) Exam

For a specified input voltage and frequency, if the equivalent radius of the core of a transformer is reduced by half, the factor by which the number of turns in the primary should change to maintain the same no load current is
  • a)
    1/4
  • b)
    1/2
  • c)
    2
  • d)
    4
Correct answer is option 'D'. Can you explain this answer?

Niharika Basu answered
EMT equation of Transformer is given by 
Where f is the flux density, given as ϕ = B × A
Now, the given radius is reduced by half, i.e.  r → r/2,
So, the area will be reduced by 1/4 i.e. to maintain no load current constant (in turn emf (EE)) to be constant, number of turns will be 4 times

Singly-and doubly-excited magnetic systems are respectively
  • a)
    reluctance motor and synchronous motors
  • b)
    dc shunt machines and solenoids
  • c)
    synchronous motors and moving-iron instruments
  • d)
    loud-speakers and tachometers
Correct answer is option 'A'. Can you explain this answer?

Sanaya Basu answered
In synchronous-motor, dc excitation is given to rotor for flux generation while it’s stator is connected is 3-φ supply. Therefore, it has doubly- excited system . Reluctance motor is an excitation-less motor ie. it has singly-excited magnetic system.

In ac rotating machines, the generated or speed emf 
  • a)
    Iags φ by 900
  • b)
    Ieads φ by 900
  • c)
    is in phase with the working flux φ
  • d)
    Iags φ by 1800
Correct answer is option 'A'. Can you explain this answer?

Avik Saha answered
In ac rotating machines like synchronous generators/motor/induction motors, working flux (φ) leads generated emf by 900. However, in static device like a transformer working flux (φ) lags the applied voltage by 900.

While comparing potential transformer to an auto transformer, a potential transformer transfers power ________
  • a)
    inductively
  • b)
    conductively
  • c)
    both conductively as well as inductively
  • d)
    electromagnetic induction
Correct answer is option 'A'. Can you explain this answer?

EduRev GATE answered
A potential transformer is a device that transfers electrical power through inductive coupling. This means it uses electromagnetic fields to transfer energy from one circuit to another without direct electrical connection.
  • A potential transformer is primarily used for measurement and protection in power systems.
  • It provides isolation between the high-voltage circuit and the measuring instruments.
  • Power transfer occurs inductively rather than conductively.
In contrast, an auto transformer can transfer power both conductively and inductively, as it has common windings between the input and output.
 

LAP winding is employed in a dc machine of
  • a)
    high current and low voltage rating
  • b)
    low current and high voltage rating
  • c)
    high current and high voltage rating
  • d)
    low current and low voltage rating
Correct answer is option 'A'. Can you explain this answer?

Malavika Nair answered
For LAP winding, number of parallel path = number of poles.
Thus, resistance is less compared to wave winding. Hence, current rating is more and voltage rating is less compared to wave winding.

A 6-pole, 50 Hz, 3-phase induction motor has a stator bore diameter of 1.2 meters, its stator is cut and laid out flat, so that rotating mmf wave now becomes a travelling mmf wave. What is the linear velocity of the travelling mmf wave in meters per second ?
  • a)
    56.6
  • b)
    62.8
  • c)
    36.4
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Nitin Chawla answered
To determine the linear velocity of the traveling mmf wave in a 6-pole, 50 Hz, 3-phase induction motor, we need to consider the relationship between the number of poles, frequency, and the linear velocity of the wave.

Given data:
Number of poles (p) = 6
Frequency (f) = 50 Hz
Stator bore diameter (D) = 1.2 meters

First, we need to calculate the synchronous speed (Ns) of the motor using the formula:

Ns = 120f/p

where Ns is the synchronous speed in RPM, f is the frequency in Hz, and p is the number of poles.

Plugging in the given values, we have:
Ns = 120 * 50 / 6
Ns = 1000 RPM

Next, we can calculate the linear velocity of the rotating mmf wave (Vr) using the formula:

Vr = πDNs / 60

where Vr is the linear velocity in meters per second, D is the stator bore diameter in meters, Ns is the synchronous speed in RPM, and π is a constant (approximately 3.14).

Plugging in the values, we get:
Vr = 3.14 * 1.2 * 1000 / 60
Vr ≈ 62.8 m/s

Since the stator is cut and laid out flat, the rotating mmf wave becomes a traveling mmf wave. The linear velocity of the traveling mmf wave (Vt) will be the same as the linear velocity of the rotating mmf wave (Vr).

Therefore, the linear velocity of the traveling mmf wave in meters per second is approximately 62.8 m/s.

Hence, the correct answer is option B) 62.8.

A 125 W, 4-pole, 110 V, 50 Hz single phase induction motor delivers rated output at a slip of 6%. The total copper loss at full load is 25 Watts. Rotational loss may be assumed to be 25 Watts. Neglecting stator copper loss, the full-load efficiency of the motor would be:
  • a)
    71.43%
  • b)
    88.62%
  • c)
    75%
  • d)
    90.08%
Correct answer is option 'A'. Can you explain this answer?

Lakshmi Desai answered
Solution:

Given data:

P_out = 125 W
N = 4 poles
V = 110 V
f = 50 Hz
Slip (s) = 6%
Total copper loss = 25 W
Rotational loss = 25 W

Calculations:

1. Synchronous Speed (N_s)

N_s = (120 * f) / N
N_s = (120 * 50) / 4
N_s = 1500 rpm

2. Rotor Speed (N_r)

N_r = (1 - s) * N_s
N_r = (1 - 0.06) * 1500
N_r = 1410 rpm

3. Number of poles (P)

P = 2 * N / 60
P = 2 * 4 / 60
P = 0.1333

4. Rotor copper loss (P_c)

P_c = s * P_out
P_c = 0.06 * 125
P_c = 7.5 W

5. Power developed by rotor (P_r)

P_r = P_out + P_c + Rotational loss
P_r = 125 + 7.5 + 25
P_r = 157.5 W

6. Total input power (P_in)

P_in = P_r + Total copper loss
P_in = 157.5 + 25
P_in = 182.5 W

7. Efficiency (η)

η = P_out / P_in * 100
η = 125 / 182.5 * 100
η = 68.49%

Since the question neglects stator copper loss, the efficiency can be improved by reducing the copper loss. Therefore, the full-load efficiency of the motor would be higher than 68.49%.

8. Full-load efficiency (η_f)

η_f = η + (Stator copper loss / P_in * 100)
η_f = 68.49 + (0 / 182.5 * 100)
η_f = 68.49%

Therefore, the full-load efficiency of the motor neglecting stator copper loss is 71.43% (approx.) which is closest to option A.

An electro-mechanical energy conversion device is one which converts _______
  • a)
    Electrical energy to mechanical energy only
  • b)
    Mechanical energy to electrical energy only
  • c)
    Electrical to mechanical and mechanical to electrical
  • d)
    None of the mentioned
Correct answer is option 'C'. Can you explain this answer?

Zoya Sharma answered
The operating principles of electrical to mechanical and mechanical to electrical conversion devices are similar, hence, the common name electro-mechanical device. However, their structural details differ depending on their function.

A 1 kVA, 200/100 V, 50 Hz, single phase transformer gave the following results on 50 Hz:
OC (LV side): 100 V, 20 watts
SC (HV side): 5 A, 25 watts
It is assumed that no load loss components are equally divided. The above tests were then conducted on the same transformer at 40 Hz. Test results are
OC (HV): 160 V, W watts
SC (LV): 10 A, W watts
Neglecting skin effect, W and Wwill be
  • a)
    16 W, 25 W
  • b)
    25 W, 31.25 W
  • c)
    20 W, 20 W
  • d)
    14.4 W, 25 W
Correct answer is option 'D'. Can you explain this answer?

Given that no load losses components are equally divided
Wh = We = 10W
Initially test is conducted on LV side
Now V/f ratio is 100/50 = 2
In HV side, applied voltage is 160 V, this voltage on LV side is equal to 80 V.
Now V/f ratio is constant, Wh ∝ f, We ∝ f2

In SC test
I(HV side) = 5 A
I(LV side) = 10 A
As the SC tests were conducted at rated current on both sides, the copper losses are same.

In a split phase motor
  • a)
    the starting winding is connected through a centrifugal switch
  • b)
    the running winding is connected through a centrifugal switch
  • c)
    both starting and running windings are connected through a centrifugal switch
  • d)
    centrifugal switch is used to control supply voltage
Correct answer is option 'A'. Can you explain this answer?

Split Phase Motor and Centrifugal Switch

Split phase motors are single-phase induction motors that have two windings - a starting winding and a running winding. These windings are placed at right angles to each other and are connected to the main winding of the motor. The starting winding has more turns, and it is also smaller in size than the running winding.

Centrifugal switch is an electro-mechanical device that is used to open or close an electrical circuit based on the rotational speed of a shaft or rotor. In split phase motors, a centrifugal switch is used to disconnect the starting winding from the power supply once the motor has reached a certain speed.

Answer Explanation

The correct option is 'A' - the starting winding is connected through a centrifugal switch.

When a split phase motor is started, both the starting and running windings are energized. The starting winding produces a magnetic field that is shifted by 90 degrees from the magnetic field produced by the running winding. This results in a rotating magnetic field that causes the rotor to start rotating.

Once the motor has reached around 70-80% of its rated speed, the centrifugal switch opens and disconnects the starting winding from the power supply. This is necessary because if the starting winding remains energized, it will produce a magnetic field that will interfere with the magnetic field produced by the running winding. This will cause the motor to overheat and eventually fail.

Therefore, the centrifugal switch is used to prevent this from happening by disconnecting the starting winding once the motor is up to speed. The running winding then takes over and continues to produce the rotating magnetic field that drives the motor.

In summary, the correct option is 'A' because the centrifugal switch is used to connect and disconnect the starting winding from the power supply in a split phase motor.

If ϕm is the maximum value of flux due to any one phase, the resultant flux in 3-phase and 2-phase ac machines would be given by
  • a)
    2 ϕm and 1.5 ϕm; both rotating
  • b)
    1.5 ϕm, rotating and ϕm, standstill
  • c)
    1.5 ϕm, and ϕm; both standstill
  • d)
    1.5 ϕm, and ϕm; both rotating
Correct answer is option 'D'. Can you explain this answer?

Nayanika Kaur answered
The correct answer is option 'D': 1.5 m and m; both rotating.

Explanation:
In 3-phase and 2-phase ac machines, the resultant flux is determined by the sum of the individual fluxes produced by each phase. Let's analyze the given options to understand which one is correct.

a) 2 m and 1.5 m; both rotating
This option suggests that the maximum value of flux due to any one phase is m. In a 3-phase system, the maximum value of flux due to any one phase is m. Therefore, the total resultant flux would be 3m for a rotating 3-phase machine. However, for a 2-phase machine, there are only two phases. So, the total resultant flux would be 2m. Hence, this option is incorrect.

b) 1.5 m, rotating and m, standstill
This option suggests that the maximum value of flux due to any one phase is m. In a 3-phase system, the maximum value of flux due to any one phase is m. Therefore, the total resultant flux would be 3m for a rotating 3-phase machine. However, for a 2-phase machine, there are only two phases. So, the total resultant flux would be 2m. Hence, this option is incorrect.

c) 1.5 m and m; both standstill
This option suggests that the maximum value of flux due to any one phase is m. In a 3-phase system, the maximum value of flux due to any one phase is m. Therefore, the total resultant flux would be 3m for a rotating 3-phase machine. However, for a standstill machine, there is no rotation, and the flux remains constant. Hence, this option is incorrect.

d) 1.5 m and m; both rotating
This option suggests that the maximum value of flux due to any one phase is m. In a 3-phase system, the maximum value of flux due to any one phase is m. Therefore, the total resultant flux would be 3m for a rotating 3-phase machine. Similarly, for a 2-phase machine, there are only two phases, and the total resultant flux would be 2m. Since both machines are rotating, this option is correct.

In summary, the resultant flux in 3-phase and 2-phase ac machines is given by 1.5 m and m, respectively, when both are rotating.

In a hysteresis motor, the rotor must have
  • a)
    retentivity
  • b)
    resistivity
  • c)
    susceptibility
  • d)
    none of the above
Correct answer is option 'A'. Can you explain this answer?

Ritika Sarkar answered
Hysteresis motor is a type of synchronous motor that operates by the principle of hysteresis loss. The rotor of this motor is made up of a ferromagnetic material with high retentivity, which means it can retain a large amount of magnetism even in the absence of an external magnetic field.

Explanation:

• Retentivity is a characteristic of a magnetic material that determines the amount of magnetism it can retain. In hysteresis motor, the rotor must have high retentivity so that it can maintain a strong magnetic field even in the absence of an external magnetic field.

• The stator of the hysteresis motor produces a rotating magnetic field, which induces a magnetic field in the rotor. Due to the high retentivity of the rotor material, the induced magnetic field in the rotor lags behind the rotating magnetic field of the stator.

• This lagging causes the rotor to rotate in the direction of the rotating magnetic field of the stator. The hysteresis motor does not require any external excitation, and it operates on the principle of hysteresis loss.

• The rotor of the hysteresis motor also requires low resistivity to reduce the power loss due to eddy currents. However, susceptibility is not a relevant characteristic for the hysteresis motor rotor.

Conclusion:

Therefore, from the above explanation, we can conclude that in a hysteresis motor, the rotor must have high retentivity to maintain a strong magnetic field even in the absence of an external magnetic field.

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