For a transformer with turns ratio n = N_secondary / N_primary, which statement is true?

• A. V_secondary = V_primary × n
• B. V_secondary = V_primary / n
• C. V_secondary independent of n
• D. V_secondary = V_primary × (n^2)

Answer: (A)

In an ideal transformer, the voltages scale with the turns on the windings. The turns ratio is defined as n = N_secondary / N_primary, and the voltage relationship is V_primary / V_secondary = N_primary / N_secondary. Rearranging gives V_secondary = V_primary × (N_secondary / N_primary) = V_primary × n. So the secondary voltage is directly proportional to the turns ratio, making the statement V_secondary = V_primary × n the correct description.

If you used V_secondary = V_primary / n, that would reflect the inverse relation, which isn’t how this ratio is defined. Saying the secondary voltage is independent of n would ignore the fundamental way the transformer sets voltage. The V_primary × n^2 option would imply an incorrect, exaggerated dependency on the turns, not aligned with the transformer equations. For example, doubling the number of secondary turns relative to the primary doubles the secondary voltage, since n becomes 2.