In a transformer, the primary winding has 90 turns with 460 V, and the secondary winding has 40 turns. What is the secondary voltage?

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Multiple Choice

In a transformer, the primary winding has 90 turns with 460 V, and the secondary winding has 40 turns. What is the secondary voltage?

In a transformer, voltage scales with the turns ratio: Vs = Vp × (Ns / Np) for an ideal transformer. Here, Vp is 460 V, Np is 90 turns, and Ns is 40 turns. So the secondary voltage is 460 × (40/90) ≈ 204.4 V, which is about 204 V when rounded. The other numbers don’t fit the given turns ratio: 184 V would require Ns/Np ≈ 0.4 (about 36 turns on the secondary, not 40), 460 V would mean no step-down (Ns ≈ Np), and 40 V would require a much smaller ratio (about 0.087, roughly 8 turns on the secondary).

In a transformer, voltage scales with the turns ratio: Vs = Vp × (Ns / Np) for an ideal transformer. Here, Vp is 460 V, Np is 90 turns, and Ns is 40 turns. So the secondary voltage is 460 × (40/90) ≈ 204.4 V, which is about 204 V when rounded.

The other numbers don’t fit the given turns ratio: 184 V would require Ns/Np ≈ 0.4 (about 36 turns on the secondary, not 40), 460 V would mean no step-down (Ns ≈ Np), and 40 V would require a much smaller ratio (about 0.087, roughly 8 turns on the secondary).

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