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An impedance referred from the secondary to the primary of a transformer is multiplied by

  • A.the square of the turns ratio
  • B.the turns ratio itself, to the first power
  • C.the inverse of the turns ratio
  • D.the inverse square of the turns ratio

Answer: A

Correct answer: the square of the turns ratio

Voltage transforms by the turns ratio and current by its inverse, so impedance, being their quotient, transforms by the square: \( Z_1 = (N_1/N_2)^2 Z_2 \). This is the basis of impedance matching, and it is why per unit quantities are so convenient - expressed in per unit, an impedance has the same value on either side.

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