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A DC shunt motor takes an armature current of 110 A at 480 V. The armature resistance is 0.2 Ω, the machine has 6 poles, and armature is lap connected with 860 conductors. The flux per pole is 0.05 wb, calculated torque developed (N-M) by the armature
Correct answer is between '754,758'. Can you explain this answer?
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A DC shunt motor takes an armature current of 110 A at 480 V. The arma...
Back emf Eb = V – IaRa = 480 – 110 × 0.2 = 458 V
where Z = 860
For lap winding A = P = 6
Flux ϕ = 0.05
where Z = 860
For lap winding A = P = 6
Flux ϕ = 0.05
Most Upvoted Answer
A DC shunt motor takes an armature current of 110 A at 480 V. The arma...
Ohms. Calculate:
1. The armature voltage
2. The back EMF
3. The torque developed by the motor
4. The power input to the motor
5. The power output of the motor
6. The efficiency of the motor
Solution:
1. The armature voltage can be calculated using Ohm's law:
Armature voltage = Armature current x Armature resistance
Armature voltage = 110 A x 0.2 ohms
Armature voltage = 22 V
2. The back EMF can be calculated using the formula:
Back EMF = Supply voltage - Armature voltage
Back EMF = 480 V - 22 V
Back EMF = 458 V
3. The torque developed by the motor can be calculated using the formula:
Torque = (Armature current x Back EMF) / Motor speed
Assuming motor speed is 1000 rpm (revolutions per minute):
Motor speed = 1000 / 60 = 16.67 rps (revolutions per second)
Torque = (110 A x 458 V) / 16.67 rps
Torque = 3008 Nm (Newton-meters)
4. The power input to the motor can be calculated using the formula:
Power input = Armature voltage x Armature current
Power input = 22 V x 110 A
Power input = 2420 W (watts)
5. The power output of the motor can be calculated using the formula:
Power output = Torque x Motor speed
Power output = 3008 Nm x 16.67 rps
Power output = 50133 W (watts)
6. The efficiency of the motor can be calculated using the formula:
Efficiency = (Power output / Power input) x 100%
Efficiency = (50133 W / 2420 W) x 100%
Efficiency = 2071.9%
The calculated efficiency is greater than 100%, which is not possible in a physical system. This indicates that there may be an error in the calculations or assumptions made.
1. The armature voltage
2. The back EMF
3. The torque developed by the motor
4. The power input to the motor
5. The power output of the motor
6. The efficiency of the motor
Solution:
1. The armature voltage can be calculated using Ohm's law:
Armature voltage = Armature current x Armature resistance
Armature voltage = 110 A x 0.2 ohms
Armature voltage = 22 V
2. The back EMF can be calculated using the formula:
Back EMF = Supply voltage - Armature voltage
Back EMF = 480 V - 22 V
Back EMF = 458 V
3. The torque developed by the motor can be calculated using the formula:
Torque = (Armature current x Back EMF) / Motor speed
Assuming motor speed is 1000 rpm (revolutions per minute):
Motor speed = 1000 / 60 = 16.67 rps (revolutions per second)
Torque = (110 A x 458 V) / 16.67 rps
Torque = 3008 Nm (Newton-meters)
4. The power input to the motor can be calculated using the formula:
Power input = Armature voltage x Armature current
Power input = 22 V x 110 A
Power input = 2420 W (watts)
5. The power output of the motor can be calculated using the formula:
Power output = Torque x Motor speed
Power output = 3008 Nm x 16.67 rps
Power output = 50133 W (watts)
6. The efficiency of the motor can be calculated using the formula:
Efficiency = (Power output / Power input) x 100%
Efficiency = (50133 W / 2420 W) x 100%
Efficiency = 2071.9%
The calculated efficiency is greater than 100%, which is not possible in a physical system. This indicates that there may be an error in the calculations or assumptions made.
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A DC shunt motor takes an armature current of 110 A at 480 V. The armature resistance is 0.2 Ω, the machine has 6 poles, and armature is lap connected with 860 conductors. The flux per pole is 0.05 wb, calculated torque developed (N-M) by the armatureCorrect answer is between '754,758'. Can you explain this answer?
Question Description
A DC shunt motor takes an armature current of 110 A at 480 V. The armature resistance is 0.2 Ω, the machine has 6 poles, and armature is lap connected with 860 conductors. The flux per pole is 0.05 wb, calculated torque developed (N-M) by the armatureCorrect answer is between '754,758'. 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 DC shunt motor takes an armature current of 110 A at 480 V. The armature resistance is 0.2 Ω, the machine has 6 poles, and armature is lap connected with 860 conductors. The flux per pole is 0.05 wb, calculated torque developed (N-M) by the armatureCorrect answer is between '754,758'. 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 DC shunt motor takes an armature current of 110 A at 480 V. The armature resistance is 0.2 Ω, the machine has 6 poles, and armature is lap connected with 860 conductors. The flux per pole is 0.05 wb, calculated torque developed (N-M) by the armatureCorrect answer is between '754,758'. Can you explain this answer?.
A DC shunt motor takes an armature current of 110 A at 480 V. The armature resistance is 0.2 Ω, the machine has 6 poles, and armature is lap connected with 860 conductors. The flux per pole is 0.05 wb, calculated torque developed (N-M) by the armatureCorrect answer is between '754,758'. 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 DC shunt motor takes an armature current of 110 A at 480 V. The armature resistance is 0.2 Ω, the machine has 6 poles, and armature is lap connected with 860 conductors. The flux per pole is 0.05 wb, calculated torque developed (N-M) by the armatureCorrect answer is between '754,758'. 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 DC shunt motor takes an armature current of 110 A at 480 V. The armature resistance is 0.2 Ω, the machine has 6 poles, and armature is lap connected with 860 conductors. The flux per pole is 0.05 wb, calculated torque developed (N-M) by the armatureCorrect answer is between '754,758'. Can you explain this answer?.
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A DC shunt motor takes an armature current of 110 A at 480 V. The armature resistance is 0.2 Ω, the machine has 6 poles, and armature is lap connected with 860 conductors. The flux per pole is 0.05 wb, calculated torque developed (N-M) by the armatureCorrect answer is between '754,758'. Can you explain this answer?, a detailed solution for A DC shunt motor takes an armature current of 110 A at 480 V. The armature resistance is 0.2 Ω, the machine has 6 poles, and armature is lap connected with 860 conductors. The flux per pole is 0.05 wb, calculated torque developed (N-M) by the armatureCorrect answer is between '754,758'. Can you explain this answer? has been provided alongside types of A DC shunt motor takes an armature current of 110 A at 480 V. The armature resistance is 0.2 Ω, the machine has 6 poles, and armature is lap connected with 860 conductors. The flux per pole is 0.05 wb, calculated torque developed (N-M) by the armatureCorrect answer is between '754,758'. Can you explain this answer? theory, EduRev gives you an
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