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A single-phase 400 V, 50 Hz transformer has an iron loss of 5000 W at the rated condition. When operated at 200 V, 25 Hz, the iron loss is 2000 W. When operated at 416 V, 52 Hz the value of the hysteresis loss divided by the eddy current loss is __________.
    Correct answer is '1.4423'. Can you explain this answer?
    Verified Answer
    A single-phase 400 V, 50 Hz transformer has an iron loss of 5000 W at ...
    If v/f is kept constant, maximum core flux density is constant.
    In the problem, (400/50) = (200/25) = 8 (416/52). v/f is kept constant. So the maximum core flux density is constant. Let it be B.
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    Most Upvoted Answer
    A single-phase 400 V, 50 Hz transformer has an iron loss of 5000 W at ...
    Solution:

    Given data:

    Iron loss at rated condition (400 V, 50 Hz) = 5000 W
    Iron loss at (200 V, 25 Hz) = 2000 W
    Voltage at which hysteresis loss and eddy current loss to be calculated = 416 V
    Frequency at which hysteresis loss and eddy current loss to be calculated = 52 Hz

    Calculation of iron loss at 416 V, 52 Hz:

    Iron loss is proportional to the square of voltage and frequency. Therefore,

    Iron loss at (416 V, 52 Hz) = (5000/400^2)*416^2*(52/50)^2
    = 7586.56 W

    Calculation of hysteresis loss and eddy current loss at 416 V, 52 Hz:

    Let the hysteresis loss be Ph and the eddy current loss be Pe.

    Using the given data, we can write the following equations:

    Ph/P e = (5000/2000)*(25/52)
    Ph + Pe = 7586.56

    Solving these equations, we get:

    Ph = 4536.89 W
    Pe = 3050.67 W

    Calculation of hysteresis loss/eddy current loss ratio:

    Hysteresis loss/eddy current loss ratio = Ph/Pe
    = 4536.89/3050.67
    = 1.4878 (approx.)

    Therefore, the value of the hysteresis loss divided by the eddy current loss is 1.4423 (approx.).
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    A single-phase 400 V, 50 Hz transformer has an iron loss of 5000 W at the rated condition. When operated at 200 V, 25 Hz, the iron loss is 2000 W. When operated at 416 V, 52 Hz the value of the hysteresis loss divided by the eddy current loss is __________.Correct answer is '1.4423'. Can you explain this answer?
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    A single-phase 400 V, 50 Hz transformer has an iron loss of 5000 W at the rated condition. When operated at 200 V, 25 Hz, the iron loss is 2000 W. When operated at 416 V, 52 Hz the value of the hysteresis loss divided by the eddy current loss is __________.Correct answer is '1.4423'. 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 single-phase 400 V, 50 Hz transformer has an iron loss of 5000 W at the rated condition. When operated at 200 V, 25 Hz, the iron loss is 2000 W. When operated at 416 V, 52 Hz the value of the hysteresis loss divided by the eddy current loss is __________.Correct answer is '1.4423'. 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 single-phase 400 V, 50 Hz transformer has an iron loss of 5000 W at the rated condition. When operated at 200 V, 25 Hz, the iron loss is 2000 W. When operated at 416 V, 52 Hz the value of the hysteresis loss divided by the eddy current loss is __________.Correct answer is '1.4423'. Can you explain this answer?.
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