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A 3 phase induction motor draws 1000 KVA at a p.f of 0.8 lag. A synchronous motor is connected in parallel to draw an additional 750 KVA at a power factor of 0.6 lead. The p.f of the total load supplied by the mains is . A. Unity B. 0707lead C. 0.6 lag D. Zero?
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A 3 phase induction motor draws 1000 KVA at a p.f of 0.8 lag. A synchr...
Solution:
Given data:
Induction motor power = 1000 KVA
Induction motor p.f = 0.8 lagging
Synchronous motor power = 750 KVA
Synchronous motor p.f = 0.6 leading
Total power = 1000 + 750 = 1750 KVA
Calculations:
Let's calculate the reactive power of both motors.
Reactive power of induction motor = √(1 - 0.8²) × 1000 = 600 KVAR (lagging)
Reactive power of synchronous motor = √(1 - 0.6²) × 750 = 600 KVAR (leading)
Total reactive power = 600 - 600 = 0 KVAR
Total apparent power = 1750 KVA
Total real power = 1750 × p.f = 1750 × 0.73 (average p.f) = 1277.5 KW
Total p.f = 1277.5 / 1750 = 0.73 lagging
Answer:
The p.f of the total load supplied by the mains is 0.73 lagging.
Explanation:
The given question is based on the concept of power factor correction using synchronous motors. The induction motor has a power factor of 0.8 lagging, which means it requires reactive power to operate. To improve the power factor, a synchronous motor is connected in parallel, which has a power factor of 0.6 leading. The synchronous motor supplies the reactive power required by the induction motor and improves the overall power factor of the system. The total power factor is calculated by finding the average power factor of the two motors. The final power factor obtained is 0.73 lagging, which is an improvement over the power factor of the induction motor.
Given data:
Induction motor power = 1000 KVA
Induction motor p.f = 0.8 lagging
Synchronous motor power = 750 KVA
Synchronous motor p.f = 0.6 leading
Total power = 1000 + 750 = 1750 KVA
Calculations:
Let's calculate the reactive power of both motors.
Reactive power of induction motor = √(1 - 0.8²) × 1000 = 600 KVAR (lagging)
Reactive power of synchronous motor = √(1 - 0.6²) × 750 = 600 KVAR (leading)
Total reactive power = 600 - 600 = 0 KVAR
Total apparent power = 1750 KVA
Total real power = 1750 × p.f = 1750 × 0.73 (average p.f) = 1277.5 KW
Total p.f = 1277.5 / 1750 = 0.73 lagging
Answer:
The p.f of the total load supplied by the mains is 0.73 lagging.
Explanation:
The given question is based on the concept of power factor correction using synchronous motors. The induction motor has a power factor of 0.8 lagging, which means it requires reactive power to operate. To improve the power factor, a synchronous motor is connected in parallel, which has a power factor of 0.6 leading. The synchronous motor supplies the reactive power required by the induction motor and improves the overall power factor of the system. The total power factor is calculated by finding the average power factor of the two motors. The final power factor obtained is 0.73 lagging, which is an improvement over the power factor of the induction motor.
Community Answer
A 3 phase induction motor draws 1000 KVA at a p.f of 0.8 lag. A synchr...
Correct answer is A .unity
but plz explain the solution
but plz explain the solution
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A 3 phase induction motor draws 1000 KVA at a p.f of 0.8 lag. A synchronous motor is connected in parallel to draw an additional 750 KVA at a power factor of 0.6 lead. The p.f of the total load supplied by the mains is . A. Unity B. 0707lead C. 0.6 lag D. Zero?
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A 3 phase induction motor draws 1000 KVA at a p.f of 0.8 lag. A synchronous motor is connected in parallel to draw an additional 750 KVA at a power factor of 0.6 lead. The p.f of the total load supplied by the mains is . A. Unity B. 0707lead C. 0.6 lag D. Zero? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A 3 phase induction motor draws 1000 KVA at a p.f of 0.8 lag. A synchronous motor is connected in parallel to draw an additional 750 KVA at a power factor of 0.6 lead. The p.f of the total load supplied by the mains is . A. Unity B. 0707lead C. 0.6 lag D. Zero? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 3 phase induction motor draws 1000 KVA at a p.f of 0.8 lag. A synchronous motor is connected in parallel to draw an additional 750 KVA at a power factor of 0.6 lead. The p.f of the total load supplied by the mains is . A. Unity B. 0707lead C. 0.6 lag D. Zero?.
A 3 phase induction motor draws 1000 KVA at a p.f of 0.8 lag. A synchronous motor is connected in parallel to draw an additional 750 KVA at a power factor of 0.6 lead. The p.f of the total load supplied by the mains is . A. Unity B. 0707lead C. 0.6 lag D. Zero? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A 3 phase induction motor draws 1000 KVA at a p.f of 0.8 lag. A synchronous motor is connected in parallel to draw an additional 750 KVA at a power factor of 0.6 lead. The p.f of the total load supplied by the mains is . A. Unity B. 0707lead C. 0.6 lag D. Zero? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 3 phase induction motor draws 1000 KVA at a p.f of 0.8 lag. A synchronous motor is connected in parallel to draw an additional 750 KVA at a power factor of 0.6 lead. The p.f of the total load supplied by the mains is . A. Unity B. 0707lead C. 0.6 lag D. Zero?.
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A 3 phase induction motor draws 1000 KVA at a p.f of 0.8 lag. A synchronous motor is connected in parallel to draw an additional 750 KVA at a power factor of 0.6 lead. The p.f of the total load supplied by the mains is . A. Unity B. 0707lead C. 0.6 lag D. Zero?, a detailed solution for A 3 phase induction motor draws 1000 KVA at a p.f of 0.8 lag. A synchronous motor is connected in parallel to draw an additional 750 KVA at a power factor of 0.6 lead. The p.f of the total load supplied by the mains is . A. Unity B. 0707lead C. 0.6 lag D. Zero? has been provided alongside types of A 3 phase induction motor draws 1000 KVA at a p.f of 0.8 lag. A synchronous motor is connected in parallel to draw an additional 750 KVA at a power factor of 0.6 lead. The p.f of the total load supplied by the mains is . A. Unity B. 0707lead C. 0.6 lag D. Zero? theory, EduRev gives you an
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