Which statement correctly describes the relationship between voltages and turns in a transformer?

Which statement correctly describes the relationship between voltages and turns in a transformer?

• A. V1/N1 = V2/N2
• B. V1*N2 = V2*N1
• C. V1/N2 = V2/N1
• D. V1 = V2

Answer: (A)

Voltages in a transformer scale with the number of turns on each winding. In an ideal transformer, the induced voltage on each coil is proportional to how many turns it has, so the ratio of voltage to turns is the same on primary and secondary: V1/N1 = V2/N2. This also means V1/V2 = N1/N2, which can be rearranged to V1*N2 = V2*N1. That shared proportionality is why this statement correctly describes the relationship between voltages and turns. Mixing the turns differently, as in V1/N2 = V2/N1, isn’t consistent with how the voltages relate to their own turns. And equal voltages (V1 = V2) only occur when the number of turns on both sides is the same.

Voltages in a transformer scale with the number of turns on each winding. In an ideal transformer, the induced voltage on each coil is proportional to how many turns it has, so the ratio of voltage to turns is the same on primary and secondary: V1/N1 = V2/N2. This also means V1/V2 = N1/N2, which can be rearranged to V1N2 = V2N1. That shared proportionality is why this statement correctly describes the relationship between voltages and turns.

Mixing the turns differently, as in V1/N2 = V2/N1, isn’t consistent with how the voltages relate to their own turns. And equal voltages (V1 = V2) only occur when the number of turns on both sides is the same.