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Two wattmeter’s are connected to measure the power consumed by a 3-phase balanced load one of the wattmeter’s reads 1400 W and the other is 800 W. The power factor of the load is when both the readings are positive.
    Correct answer is between '0.9,0.91'. Can you explain this answer?
    Verified Answer
    Two wattmeter’s are connected to measure the power consumed by a...
    P1 = 1400 W, P2 = 800 W

    = 25.28°
    Power factor, cos ϕ = cos 25.28° = 0.90
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    Two wattmeter’s are connected to measure the power consumed by a...
    Given Information:
    - Two wattmeter readings: 1400 W and 800 W
    - Balanced 3-phase load

    Calculating Total Power:
    - Total power consumed by the load can be calculated by adding the readings of both wattmeters.
    - Total power = 1400 W + 800 W = 2200 W

    Calculating Power Factor:
    - Power factor (PF) can be calculated using the formula: PF = (P1 - P2) / (P1 + P2)
    - Substituting the values: PF = (1400 - 800) / (1400 + 800) = 600 / 2200 ≈ 0.2727

    Calculating Power Factor Angle:
    - The power factor angle (θ) can be calculated using the formula: θ = cos^(-1)(PF)
    - Substituting the power factor value: θ ≈ cos^(-1)(0.2727) ≈ 73.36 degrees

    Interpreting the Result:
    - Since both wattmeter readings are positive, the power factor angle should be in the first quadrant.
    - Power factor angle in the first quadrant ranges from 0 to 90 degrees.
    - Therefore, the power factor is between 0.9 to 0.91, as the calculated angle of 73.36 degrees falls in this range.
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    Two wattmeter’s are connected to measure the power consumed by a 3-phase balanced load one of the wattmeter’s reads 1400 W and the other is 800 W. The power factor of the load is when both the readings are positive.Correct answer is between '0.9,0.91'. Can you explain this answer?
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    Two wattmeter’s are connected to measure the power consumed by a 3-phase balanced load one of the wattmeter’s reads 1400 W and the other is 800 W. The power factor of the load is when both the readings are positive.Correct answer is between '0.9,0.91'. 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 Two wattmeter’s are connected to measure the power consumed by a 3-phase balanced load one of the wattmeter’s reads 1400 W and the other is 800 W. The power factor of the load is when both the readings are positive.Correct answer is between '0.9,0.91'. 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 Two wattmeter’s are connected to measure the power consumed by a 3-phase balanced load one of the wattmeter’s reads 1400 W and the other is 800 W. The power factor of the load is when both the readings are positive.Correct answer is between '0.9,0.91'. Can you explain this answer?.
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