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The shunt winding of a motor has a resistance of 85W at 22ºC. When the motor runs at fullload, its resistance increases to 100 ohms. The resistance temperature coefficient of winding perOºC is 0.004. The rise in temperature of the winding will be nearly
  • a)
    20ºC
  • b)
    50ºC
  • c)
    70ºC
  • d)
    100ºC
Correct answer is option 'C'. Can you explain this answer?
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Given data:
- Resistance at 22C = 85 ohms
- Full load resistance = 100 ohms
- Temperature coefficient = 0.004 per C

Calculating temperature rise:
- Let the temperature rise be x C.
- Therefore, the change in resistance = 0.004 * 85 * x = 0.34x
- Final resistance at full load = 85 + 0.34x

Using the given data:
- Full load resistance = 100 ohms
- 100 = 85 + 0.34x
- 0.34x = 15
- x = 15 / 0.34
- x ≈ 44.12 C

Conclusion:
- The rise in temperature of the winding will be approximately 44.12 C.
- Therefore, option C (70C) is the closest answer choice.
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The shunt winding of a motor has a resistance of 85W at 22ºC. When the motor runs at fullload, its resistance increases to 100 ohms. The resistance temperature coefficient of winding perOºC is 0.004. The rise in temperature of the winding will be nearlya)20ºCb)50ºCc)70ºCd)100ºCCorrect answer is option 'C'. Can you explain this answer?
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