DC Machine EMF and Torque Production MCQ || DC Machine EMF and Torque Production Questions and Answers

11. A 6-pole, wave-wound armature has 600 conductors and is driven at 700 rpm. Determine the generated EMF in the armature if the flux per pole is 10 mWb.

  1. 420 V
  2. 230 V
  3. 500 V
  4. 210 V

Answer: 4. 210 V

Explanation: 

Given that,

Number poles P = 6

Conductors Z = 600

Speed N = 700 rpm

The flux per pole (ϕ) = 0.01 Wb

As winding is wave type

Number of parallel paths A = 2

E.M.F. generated by a generator is

${E_g} = \dfrac{{\phi ZNP}}{{60A}}$

 

${E_g} = \frac{{(0.01)(600)(700)(6)}}{{60(2)}}$

 

Eg = 210 V

 

12. Emf produced by DC machine, for zero armature current (E1) and non-zero armature current (E2) can be related as __________

  1. E1 = E2
  2. E1 > E2
  3. E1 < E2
  4. Can’t be determined

Answer: 1. E1 = E2

Explanation: 

The air gap under the poles in a dc machine is almost uniform and further, the pole shoes are wider than in a synchronous machine (pole-arc is about 70% of the pole-pitch). As a result, the flux density in the air around the armature periphery is a flat-topped wave. The voltage induced in the coil (full-pitch has a similar wave shape).

In a dc machine, the magnetic structure is such that the flux density wave in the air gap is flat-topped with quarter-wave symmetry so long as the armature is not carrying any current. The flux density wave gets distorted when the armature carries current (the armature reaction effect destroys quarter-wave symmetry).

However, this fact does not affect the constancy of emf (between brushes) and torque developed by the machine with magnitudes of each of these being determined by the flux/pole independent of the shape of the B-wave.

Hence Emf produced by DC machine, for zero armature current (E1) and non-zero armature current (E2) can be related as E1 = E2

 

13. If the no-load speed of DC Machine is 1300 rpm and full load speed is 1100 rpm, then its voltage regulation is ____________

  1. 12.56%
  2. 18.18 %
  3. 17.39%
  4. 18.39%

Answer: 2. 18.18 %

Explanation: 

The voltage regulation of a generator (independent of the kind of excitation employe is defined as

% Regulation = (Vo − Vf)/Vf

where

Vf = full-load voltage = V rated
Vo = no-load voltage

In a dc generator, the induced emf is directly proportional to the conductor per pole, speed, number of poles, and flux per pole.

% Regulation = (1300 − 1100)/1100

% Regulation = 18.18 %

 

14. What is the EMF generated per path in a simplex wave-wound DC generator?

  1. φZN/60P
  2. φZNP/60
  3. φZN/120P
  4. φZNP/120

Answer: 4. φZNP/120

Explanation: 

E.M.F. generated by a generator is

${E_a} = \dfrac{{\phi ZNP}}{{60A}}$

 

Where,

ϕ = flux

Z = number of conductors

N = speed in RPM

P = number of poles

A = number of parallel paths

If multiplexity is not mentioned, then always take simplex lap winding i.e. m = 1

EMF generated per path in a simplex wave-wound DC generator

∴ A = 2, m = 1

${E_g} = \frac{{\phi ZNP}}{{120}}V$

 

15. Average coil emf for 20 coil turns (E1) and 40 coil turns (E2), will have a ratio E1/E2= ____ (assuming all other parameters same for both machines).

  1. 1/2
  2. 2/1
  3. 1/4
  4. 4/1

Answer: 1. 1/2

Explanation: 

In a dc generator, the induced emf is directly proportional to the conductor per pole, speed, number of poles, and flux per pole.

Let’s suppose all the parameters are constant then

E1/E2 = 20/40

E1/E2 = 1/2

 

16. If the average coil emf of a DC generator is doubled and flux is halved (keeping other parameters constant) then its shaft speed will become ___________

  1. Twice of the original speed
  2. Square of the original speed
  3. Four times of the original speed
  4. Half of the original speed

Answer: 3. Four times of the original speed

Explanation: 

E.M.F. generated by a generator is

${E_g} = \dfrac{{\phi ZNP}}{{60A}}$

 

Where,

ϕ = flux

Z = number of conductors

N = speed in RPM

P = number of poles

A = number of parallel paths

Now other parameter Z, P, A is kept constant then

Eg = φN

N = Eg/φ

N = 2Eg/1/2φ

N = 4 times the original speed

 

17. A 6 pole, wave-connected DC armature has 250 conductors and runs at 1200 rpm. The emf generated is 600V. The useful Flux/pole is:

  1. 0.04 Wb
  2. 0.4 Wb
  3. 4.0 Wb
  4. 0.44 Wb

Answer: 1. 0.04 Wb

Explanation: 

Given

E = 600 V, Z = 250, N = 1200 rpm, P = 6.

For wave winding A = 2

E.M.F. generated by a generator is

${E_g} = \dfrac{{\phi ZNP}}{{60A}}$

 

$\phi = \frac{{60EA}}{{ZNP}}$

 

$\phi = \frac{{60 \times 600 \times 2}}{{250 \times 1200 \times 6}}$

 

ϕ = 0.04 Wb

 

18. What is the average coil emf generated in a 4-pole DC machine having flux/pole equal to 0.1 wb rotating at 1500 rpm? (No. of coil sides = 100)

  1. 19 kV
  2. 1.9 kV
  3. 190 V
  4. 19 V

Answer: 1. 19 kV

Explanation: 

${E_a} = \dfrac{{\phi {\omega _m}{N_c}P}}{\pi }$

where

Nc = number of coil turns = 100

ϕ = flux = 0.1

N = speed in RPM = 1500

P = number of poles = 4

${E_g} = \frac{{0.1 \times 1500 \times 100 \times 4}}{\pi }$

 

Eg = 19 kV

 

19. A 4-pole wave wound DC motor drawing an armature current of 20 A has provided with 360 armature conductors. If the flux per pole is 0.015 Wb then the torque developed by the armature of the motor is _______

  1. 10.23 N-m
  2. 34.39 N-m
  3. 17.17 N-m
  4. 19.08 N-m

Answer: 2. 34.39 N-m

Explanation: 

The electromagnetic torque produced in d.c. machines is expressed as

T = KφIa

Where

K = PZ/2πA

Z= total armature conductors = 360

P= No. of poles = 4

A= No. of parallel paths. For a wave winding A = 2

∴ K = (4 × 360)/(2 × 3.14 × 2)

K = 114.64

φ = Flux = 0.015 Wb

Ia = Armature current = 20 A

T = 114.64 × 20 × 0.015

T = 34.39 N-m

 

20. A 4-pole generator having wave wound armature winding has 60 slots, each slot containing 20 conductors. What will be voltage generated in the machine when driven at 1000 rpm assuming the flux per pole to be 5 mWb?

  1. 150 V
  2. 100 V
  3. 250 V
  4. 200 V

Answer: 4. 200 V

Explanation: 

Given,

P = 4

slot = 60 & slot/conductor = 20

∴ Condctor (Z) = 60 × 20 = 1200

N = 1000 RPM

ϕ = 5 mWb

A = 2 (Given wave winding)

E.M.F. generated by a generator is

${E_g} = \dfrac{{\phi ZNP}}{{60A}}$

$\frac{{4 \times 5 \times {{10}^{ – 3}} \times 1200 \times 1000}}{{120}}$

 

(Eg) = 200 V

Scroll to Top