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A 3-ф 400 V, 6-pole, 50 Hz star connected synchronous motor has an e.m.f of 230 V and synchronous reactance of 2Ω/ph . If the motor draws a current of 50 A, then the torque developed to run the motor is ________ N-m. (Correct upto two decimal place)
    Correct answer is '46'. Can you explain this answer?
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    A 3-ф 400 V, 6-pole, 50 Hz star connected synchronous motor has an e....
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    A 3-ф 400 V, 6-pole, 50 Hz star connected synchronous motor has an e....
    Given:
    - 3-phase synchronous motor
    - Supply voltage: 400V
    - Number of poles: 6
    - Frequency: 50 Hz
    - Star connected
    - E.m.f: 230V
    - Synchronous reactance: 2Ω/ph
    - Current: 50A

    To find:
    - Torque developed to run the motor

    Formula:
    The torque developed by a synchronous motor is given by the formula:
    Torque (T) = (3 * √3 * V * I * sin(ϕ)) / (2 * π * f * P)
    Where:
    - V is the line voltage
    - I is the line current
    - ϕ is the power factor angle
    - f is the frequency
    - P is the number of poles

    Calculations:
    1. Calculate the power factor angle (ϕ):
    The power factor angle can be calculated using the formula:
    cos(ϕ) = e.m.f / V
    cos(ϕ) = 230 / 400
    ϕ = cos^(-1)(0.575)
    ϕ ≈ 54.01°

    2. Calculate the torque (T):
    Using the formula mentioned above:
    T = (3 * √3 * V * I * sin(ϕ)) / (2 * π * f * P)
    T = (3 * √3 * 400 * 50 * sin(54.01°)) / (2 * π * 50 * 6)
    T ≈ 46 N-m

    Answer:
    The torque developed to run the motor is approximately 46 N-m.
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    A 3-ф 400 V, 6-pole, 50 Hz star connected synchronous motor has an e.m.f of 230 V and synchronous reactance of 2Ω/ph . If the motor draws a current of 50 A, then the torque developed to run the motor is ________ N-m. (Correct upto two decimal place)Correct answer is '46'. Can you explain this answer?
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    A 3-ф 400 V, 6-pole, 50 Hz star connected synchronous motor has an e.m.f of 230 V and synchronous reactance of 2Ω/ph . If the motor draws a current of 50 A, then the torque developed to run the motor is ________ N-m. (Correct upto two decimal place)Correct answer is '46'. 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 A 3-ф 400 V, 6-pole, 50 Hz star connected synchronous motor has an e.m.f of 230 V and synchronous reactance of 2Ω/ph . If the motor draws a current of 50 A, then the torque developed to run the motor is ________ N-m. (Correct upto two decimal place)Correct answer is '46'. 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 A 3-ф 400 V, 6-pole, 50 Hz star connected synchronous motor has an e.m.f of 230 V and synchronous reactance of 2Ω/ph . If the motor draws a current of 50 A, then the torque developed to run the motor is ________ N-m. (Correct upto two decimal place)Correct answer is '46'. Can you explain this answer?.
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