Electrical Engineering (EE) Exam  >  Electrical Engineering (EE) Questions  >  An induction motor operating at 0.8 pf lag co... Start Learning for Free
An induction motor operating at 0.8 pf lag consuming 500 kW. A zero real power consuming synchronous motors is connected across the induction motor raise the power factor to unity. The reactive power drawn by synchronous motor is___ (kVAR)
    Correct answer is between '374,376'. Can you explain this answer?
    Verified Answer
    An induction motor operating at 0.8 pf lag consuming 500 kW. A zero re...
    P = 500 kW, Power factor = 0.8
    KVA = 500/0.8 = 625 KVA
    Reactive power drawn = 625 × 0.6 = 375 kVAR
    To rise the power factor to unity, the total kVAR drawn by induction motor should be supplied by synchronous motor. KVAR drawn by synchronous motor is 375 kVAR.
    View all questions of this test
    Most Upvoted Answer
    An induction motor operating at 0.8 pf lag consuming 500 kW. A zero re...
    Given information:
    - Induction motor operating at 0.8 power factor (lagging)
    - Power consumed by the induction motor = 500 kW
    - Zero real power consuming synchronous motor is connected across the induction motor to raise the power factor to unity

    To find:
    The reactive power drawn by the synchronous motor

    Solution:
    Step 1: Calculate the apparent power of the induction motor
    Apparent power (S) = Real power (P) / Power factor (pf)
    Given P = 500 kW and pf = 0.8 (lagging)
    So, S = 500 kW / 0.8 = 625 kVA

    Step 2: Calculate the reactive power of the induction motor
    Reactive power (Q) = √(S^2 - P^2)
    Q = √(625^2 - 500^2)
    Q = √(390625 - 250000)
    Q = √140625
    Q = 375 kVAR (approximately)

    Step 3: Calculate the reactive power of the synchronous motor
    Since the synchronous motor is connected to raise the power factor to unity (1), it compensates for the reactive power drawn by the induction motor.

    Reactive power drawn by the synchronous motor = - Reactive power drawn by the induction motor

    Therefore, the reactive power drawn by the synchronous motor is -375 kVAR.

    Step 4: Calculate the total reactive power
    Since the synchronous motor is connected across the induction motor, the total reactive power is the sum of the reactive powers of both motors.

    Total reactive power = |Reactive power of induction motor| + |Reactive power of synchronous motor|
    Total reactive power = |375 kVAR| + |(-375 kVAR)|
    Total reactive power = 375 kVAR + 375 kVAR
    Total reactive power = 750 kVAR

    Conclusion:
    The reactive power drawn by the synchronous motor is 375 kVAR, which falls within the range of 374-376 kVAR as specified in the correct answer.
    Explore Courses for Electrical Engineering (EE) exam

    Similar Electrical Engineering (EE) Doubts

    Top Courses for Electrical Engineering (EE)

    An induction motor operating at 0.8 pf lag consuming 500 kW. A zero real power consuming synchronous motors is connected across the induction motor raise the power factor to unity. The reactive power drawn by synchronous motor is___ (kVAR)Correct answer is between '374,376'. Can you explain this answer?
    Question Description
    An induction motor operating at 0.8 pf lag consuming 500 kW. A zero real power consuming synchronous motors is connected across the induction motor raise the power factor to unity. The reactive power drawn by synchronous motor is___ (kVAR)Correct answer is between '374,376'. Can you explain this answer? 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 An induction motor operating at 0.8 pf lag consuming 500 kW. A zero real power consuming synchronous motors is connected across the induction motor raise the power factor to unity. The reactive power drawn by synchronous motor is___ (kVAR)Correct answer is between '374,376'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An induction motor operating at 0.8 pf lag consuming 500 kW. A zero real power consuming synchronous motors is connected across the induction motor raise the power factor to unity. The reactive power drawn by synchronous motor is___ (kVAR)Correct answer is between '374,376'. Can you explain this answer?.
    Solutions for An induction motor operating at 0.8 pf lag consuming 500 kW. A zero real power consuming synchronous motors is connected across the induction motor raise the power factor to unity. The reactive power drawn by synchronous motor is___ (kVAR)Correct answer is between '374,376'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE). Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.
    Here you can find the meaning of An induction motor operating at 0.8 pf lag consuming 500 kW. A zero real power consuming synchronous motors is connected across the induction motor raise the power factor to unity. The reactive power drawn by synchronous motor is___ (kVAR)Correct answer is between '374,376'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of An induction motor operating at 0.8 pf lag consuming 500 kW. A zero real power consuming synchronous motors is connected across the induction motor raise the power factor to unity. The reactive power drawn by synchronous motor is___ (kVAR)Correct answer is between '374,376'. Can you explain this answer?, a detailed solution for An induction motor operating at 0.8 pf lag consuming 500 kW. A zero real power consuming synchronous motors is connected across the induction motor raise the power factor to unity. The reactive power drawn by synchronous motor is___ (kVAR)Correct answer is between '374,376'. Can you explain this answer? has been provided alongside types of An induction motor operating at 0.8 pf lag consuming 500 kW. A zero real power consuming synchronous motors is connected across the induction motor raise the power factor to unity. The reactive power drawn by synchronous motor is___ (kVAR)Correct answer is between '374,376'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice An induction motor operating at 0.8 pf lag consuming 500 kW. A zero real power consuming synchronous motors is connected across the induction motor raise the power factor to unity. The reactive power drawn by synchronous motor is___ (kVAR)Correct answer is between '374,376'. Can you explain this answer? tests, examples and also practice Electrical Engineering (EE) tests.
    Explore Courses for Electrical Engineering (EE) exam

    Top Courses for Electrical Engineering (EE)

    Explore Courses
    Signup for Free!
    Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
    10M+ students study on EduRev