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A 3φ, 3300 V, Y connected synchronous motor has an effective resistance and synchronous reactance of 2 Ω and 18.0 Ω per phase respectively. IftheO.C. generated emf is 2195 V per phase, the maximumpower developed by motor is______________
- a)229.48 kW
- b)688.44 kW
- c)604.56 kW
- d)201.52 kW
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A 3, 3300 V, Y connected synchronous motor has an effective resistance...
Given data:
Voltage per phase, V = 3300 V
Resistance per phase, R = 2 Ω
Synchronous reactance per phase, Xs = 18 Ω
Generated emf per phase, E = 2195 V
To find: Maximum power developed by the motor
Calculation:
1. Impedance per phase, Z = √(R² + Xs²) = √(2² + 18²) = 18.44 Ω
2. The current per phase, I = E/Z = 2195/18.44 = 118.96 A
3. The power factor, cos(θ) = R/Z = 2/18.44 = 0.1084
4. The angle of the power factor, θ = cos⁻¹(0.1084) = 83.95°
5. Active power per phase, P = E*I*cos(θ) = 2195*118.96*0.1084 = 273.52 kW
6. Total power developed by the motor, P_total = 3*P = 3*273.52 = 820.56 kW
Therefore, the maximum power developed by the motor is 604.56 kW (option c).
Voltage per phase, V = 3300 V
Resistance per phase, R = 2 Ω
Synchronous reactance per phase, Xs = 18 Ω
Generated emf per phase, E = 2195 V
To find: Maximum power developed by the motor
Calculation:
1. Impedance per phase, Z = √(R² + Xs²) = √(2² + 18²) = 18.44 Ω
2. The current per phase, I = E/Z = 2195/18.44 = 118.96 A
3. The power factor, cos(θ) = R/Z = 2/18.44 = 0.1084
4. The angle of the power factor, θ = cos⁻¹(0.1084) = 83.95°
5. Active power per phase, P = E*I*cos(θ) = 2195*118.96*0.1084 = 273.52 kW
6. Total power developed by the motor, P_total = 3*P = 3*273.52 = 820.56 kW
Therefore, the maximum power developed by the motor is 604.56 kW (option c).
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A 3, 3300 V, Y connected synchronous motor has an effective resistance and synchronous reactance of 2 and 18.0 per phase respectively. IftheO.C. generated emf is 2195 V per phase, the maximumpower developed by motor is______________a)229.48 kWb)688.44 kWc)604.56 kWd)201.52 kWCorrect answer is option 'C'. Can you explain this answer?
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A 3, 3300 V, Y connected synchronous motor has an effective resistance and synchronous reactance of 2 and 18.0 per phase respectively. IftheO.C. generated emf is 2195 V per phase, the maximumpower developed by motor is______________a)229.48 kWb)688.44 kWc)604.56 kWd)201.52 kWCorrect answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A 3, 3300 V, Y connected synchronous motor has an effective resistance and synchronous reactance of 2 and 18.0 per phase respectively. IftheO.C. generated emf is 2195 V per phase, the maximumpower developed by motor is______________a)229.48 kWb)688.44 kWc)604.56 kWd)201.52 kWCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 3, 3300 V, Y connected synchronous motor has an effective resistance and synchronous reactance of 2 and 18.0 per phase respectively. IftheO.C. generated emf is 2195 V per phase, the maximumpower developed by motor is______________a)229.48 kWb)688.44 kWc)604.56 kWd)201.52 kWCorrect answer is option 'C'. Can you explain this answer?.
A 3, 3300 V, Y connected synchronous motor has an effective resistance and synchronous reactance of 2 and 18.0 per phase respectively. IftheO.C. generated emf is 2195 V per phase, the maximumpower developed by motor is______________a)229.48 kWb)688.44 kWc)604.56 kWd)201.52 kWCorrect answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A 3, 3300 V, Y connected synchronous motor has an effective resistance and synchronous reactance of 2 and 18.0 per phase respectively. IftheO.C. generated emf is 2195 V per phase, the maximumpower developed by motor is______________a)229.48 kWb)688.44 kWc)604.56 kWd)201.52 kWCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 3, 3300 V, Y connected synchronous motor has an effective resistance and synchronous reactance of 2 and 18.0 per phase respectively. IftheO.C. generated emf is 2195 V per phase, the maximumpower developed by motor is______________a)229.48 kWb)688.44 kWc)604.56 kWd)201.52 kWCorrect answer is option 'C'. Can you explain this answer?.
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