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For a four pole, 200 V dc shunt generator having armature resistance of 1 ohms. The current flowing in the armature is 10 A. What is the back emf generated if the terminal voltage of 220 V supply is fed?
  • a)
    230 Volts
  • b)
    210 Volts
  • c)
    190 Volts
  • d)
    200 Volts
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
For a four pole, 200 V dc shunt generator having armature resistance o...
E=V+I*ra
= 220+10*1
=230 Volts.
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Most Upvoted Answer
For a four pole, 200 V dc shunt generator having armature resistance o...
Given data:
- A four pole, 200 V dc shunt generator
- Armature resistance of 1 ohm
- Armature current of 10 A
- Terminal voltage of 220 V supply

To find: The back emf generated by the generator

Solution:

1. Formula: The back emf generated by a dc generator is given by the formula,

Eb = Vt - IaRa

where,
Eb = Back emf generated
Vt = Terminal voltage
Ia = Armature current
Ra = Armature resistance

2. Substituting the given values in the formula,

Eb = 220 - (10 x 1)
Eb = 210 V

3. But the given generator is a four pole generator, which means there are four poles in the field winding.

4. Formula: The back emf generated by a generator is also given by the formula,

Eb = PΦZN / 60A

where,
P = Number of poles
Φ = Flux per pole
Z = Total number of armature conductors
N = Rotational speed in rpm
A = Number of parallel paths in the armature winding

5. Assuming that the generator is operating at a constant speed of 1500 rpm,

6. Formula: The flux per pole can be calculated using the formula,

Φ = Eb / Pω

where,
ω = 2πN / 60

7. Substituting the values in the formula,

ω = 2π x 1500 / 60
ω = 314.16 rad/s

Φ = 210 / (4 x 314.16)
Φ = 0.167 Wb

8. Substituting the values in the second formula,

Eb = 4 x 0.167 x 120 x 1500 / (60 x 2)
Eb = 230 V

Therefore, the back emf generated by the generator is 230 V.

Final Answer: a) 230 Volts
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For a four pole, 200 V dc shunt generator having armature resistance of 1 ohms. The current flowing in the armature is 10 A. What is the back emf generated if the terminal voltage of 220 V supply is fed?a)230 Voltsb)210 Voltsc)190 Voltsd)200 VoltsCorrect answer is option 'A'. Can you explain this answer?
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