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    A transformer is connected to 250 Volts in the primary and the secondary voltage is 500 Volts. If the number of turns in the primary is 1000, what is
    Question

    A transformer is connected to 250 Volts in the primary and the secondary voltage is 500 Volts. If the number of turns in the primary is 1000, what is the number of turns in the secondary?

    A.

    250

    B.

    500

    C.

    1000

    D.

    2000

    Correct option is D

    The relationship between the voltages and the number of turns in a transformer is governed by the transformer turns ratio formula:

    VpVs=NpNs\frac{V_p}{V_s} = \frac{N_p}{N_s}

    Rearrange the formula to find Ns{N_s}

    Ns=NpVsVpN_s = N_p \cdot \frac{V_s}{V_p}​​​

    Ns=1000500250Ns=10002=2000N_s = 1000 \cdot \frac{500}{250} \\N_s = 1000 \cdot 2 = 2000​​

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