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A hydraulic turbine having rated speed of 250 rpm is connected to a synchronous generator. In order to produce power at 50 Hz, the number of poles required in the generator is (Answer up to the nearest integer)
    Correct answer is '24'. Can you explain this answer?
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    Number of Poles in a Generator for Power Production

    To determine the number of poles required in a synchronous generator to produce power at a specific frequency, we need to consider the rated speed of the hydraulic turbine and the desired frequency of the generated power.

    Generator Speed and Frequency Relationship
    The speed of a synchronous generator is directly proportional to the frequency of the generated power. The relationship between the two can be given by the formula:

    Ns = 120 * f / P

    where:
    Ns = synchronous speed of the generator in rpm
    f = frequency of the generated power in Hz
    P = number of poles in the generator

    Given Parameters
    In this case, we are given that the rated speed of the hydraulic turbine is 250 rpm, and we want to produce power at a frequency of 50 Hz.

    Calculating the Number of Poles
    To find the number of poles required, we can rearrange the formula and solve for P:

    P = 120 * f / Ns

    Substituting the given values:

    P = 120 * 50 / 250
    P = 24

    Conclusion
    Therefore, to produce power at a frequency of 50 Hz with a hydraulic turbine rated at 250 rpm, a synchronous generator with 24 poles is required.
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    A hydraulic turbine having rated speed of 250 rpm is connected to a synchronous generator. In order to produce power at 50 Hz, the number of poles required in the generator is (Answer up to the nearest integer)Correct answer is '24'. Can you explain this answer?
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