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    Calculate the frequency of the rotor current when the synchronous speed is 1,500 rpm and rotor speed is 1,440 rpm and supply frequency is 50 Hz.
    Question

    Calculate the frequency of the rotor current when the synchronous speed is 1,500 rpm and rotor speed is 1,440 rpm and supply frequency is 50 Hz.

    A.

    2 Hz

    B.

    5 Hz

    C.

    1 Hz

    D.

    0.5 Hz

    Correct option is A

    Given

    Ans. (a) : Given,Ns=1500 rpm,Nr=1440 rpmf=50 HzSlip (S)=NsNrNs=150014401500=601500=0.04Rotor current supply frequency (fr)=sf(Where, f=supply frequency)fr=0.04×50fr=2 Hz\textbf{Ans. (a) :} \text{ Given,} \\N_s = 1500 \, \text{rpm}, \quad N_r = 1440 \, \text{rpm} \\f = 50 \, \text{Hz} \\\\\text{Slip (S)} = \frac{N_s - N_r}{N_s} \\= \frac{1500 - 1440}{1500} = \frac{60}{1500} = 0.04 \\\\\text{Rotor current supply frequency } (f_r) = s \cdot f \quad \text{(Where, } f = \text{supply frequency)} \\f_r = 0.04 \times 50 \\\boxed{f_r = 2 \, \text{Hz}}

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