If a transformer has 50 turns in the primary winding and 10 turns on the secondary winding, what is the reflected resistance in the primary

Question

If a transformer has 50 turns in the primary winding and 10 turns on the secondary winding, what is the reflected resistance in the primary if the secondary load resistance is 250 W?

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Linh Đan 4 years 2021-08-10T14:03:14+00:00 1 Answers 212 views 0

Answers ( )

  1. ngocdiep
    0
    2021-08-10T14:04:19+00:00
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    Answer:

    The reflected resistance in the primary winding is 6250 Ω

    Explanation:

    Given;

    number of turns in the primary winding, N_P = 50 turns

    number of turns in the secondary winding, N_S = 10 turns

    the secondary load resistance, R_S = 250 Ω

    Determine the turns ratio;

    K = \frac{N_P}{N_S} \\\\K = \frac{50}{10} \\\\K = 5

    Now, determine the reflected resistance in the primary winding;

    \frac{R_P}{R_S} = K^2\\\\R_P = R_SK^2\\\\R_P = 250(5)^2\\\\R_P = 6250 \ Ohms

    Therefore, the reflected resistance in the primary winding is 6250 Ω

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