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    At what speed, a 4-pole alternator has to be driven, so as to generate a voltage at a frequency of 25 Hz? frequency of 25 Hz?
    Question

    At what speed, a 4-pole alternator has to be driven, so as to generate a voltage at a frequency of 25 Hz? frequency of 25 Hz?

    A.

    1000 rpm

    B.

    1500 rpm

    C.

    750 rpm

    D.

    3000 rpm

    Correct option is C

    The synchronous speed of an alternator is given by:Ns=120fPwhere Ns= synchronous speed (rpm) f= frequency (Hz) P= number of polesGiven: f=25 Hz P=4Calculation:Ns=120×254=30004=750 rpm\text{The synchronous speed of an alternator is given by:} \\[6pt]N_s = \frac{120 f}{P} \\[10pt]\text{where} \\[6pt]\bullet \ N_s = \text{ synchronous speed (rpm)} \\[4pt]\bullet \ f = \text{ frequency (Hz)} \\[4pt]\bullet \ P = \text{ number of poles} \\[12pt]\textbf{Given:} \\[6pt]\bullet \ f = 25 \text{ Hz} \\[4pt]\bullet \ P = 4 \\[12pt]\textbf{Calculation:} \\[8pt]N_s = \frac{120 \times 25}{4} = \frac{3000}{4} = 750 \text{ rpm}​​

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