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The shunt winding of a motor has a resistance of 85W at 22ºC. When the motor runs at full load, its resistance increases to 100 ohms. There sistance temperature coefficient of winding per OºC 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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The shunt winding of a motor has a resistance of 85W at 22ºC. Whe...
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The shunt winding of a motor has a resistance of 85W at 22ºC. Whe...
Explanation:

Given data:

Resistance of the shunt winding at 22°C, R1 = 85Ω

Resistance of the shunt winding at full load, R2 = 100Ω

Temperature coefficient of winding per °C, α = 0.004

To find:

The rise in temperature of the winding

Solution:

Let's calculate the change in resistance of the winding due to temperature change.

ΔR = R2 - R1

ΔR = 100Ω - 85Ω

ΔR = 15Ω

Temperature rise, ΔT = ΔR / (R1 × α)

ΔT = 15Ω / (85Ω × 0.004/°C)

ΔT = 44.11°C

Therefore, the rise in temperature of the winding will be nearly 70°C (22°C + 44.11°C).

Hence, option (c) is the correct answer.
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The shunt winding of a motor has a resistance of 85W at 22ºC. When the motor runs at full load, its resistance increases to 100 ohms. There sistance temperature coefficient of winding per OºC 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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