A certain transformer has exactly 163 turns on its primary side and exactly 163 turns on its secondary side. If an AC voltage of 28.8 V is applied to the primary side, what voltage will appear on the secondary side?

Question

26-09-2024
Physics

High School

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A certain transformer has exactly 163 turns on its primary side and exactly 163 turns on its secondary side. If an AC voltage of 28.8 V is applied to the primary side, what voltage will appear on the secondary side?

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The voltage that will appear on the secondary side of the transformer will be 28.8 V, same as the primary voltage, because the transformer has equal number of turns on both primary and secondary sides and the transformer equation shows a direct ratio between voltages and number of turns.

The subject of this question is a transformer, which is a device that can step up or step down voltage levels based on the ratio of turns in its primary and secondary coils. Specifically, the student is asking about the voltage that will appear on the secondary side of a transformer with an equal number of turns on both sides, given a certain input voltage. According to the transformer equation, V2 = (N2 / N1) imes V1, where V1 is the primary voltage, V2 is the secondary voltage, N1 is the number of turns on the primary coil, and N2 is the number of turns on the secondary coil.

In this case, since the number of primary turns (N1) is 163 and the number of secondary turns (N2) is also 163, and the primary voltage (V1) is 28.8 V, the voltage on the secondary side will be the same as the primary voltage. Therefore, the secondary voltage (V2) will also be 28.8 V, assuming ideal conditions where there are no losses in the transformer.