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What is the voltage across the secondary winding if the primary winding has 120VAC applied to​ it, the primary has 200​ turns, and the secondary has 300​ turns?

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Final answer:

The voltage across the secondary winding of a transformer, with a primary voltage of 120 VAC and a turns ratio of 200:300, is calculated to be 180 VAC.

Step-by-step explanation:

The voltage across the secondary winding of a transformer can be calculated using the transformer's turns ratio, which is the ratio of the number of turns in the secondary coil to the number of turns in the primary coil. Since the primary winding has 120 VAC applied to it, and given the primary to secondary turns ratio of 200:300 or 2:3, we can determine the secondary voltage by applying the formula for a transformer:

Vs / Vp = Ns / Np

where Vs is the secondary voltage, Vp is the primary voltage, Ns is the number of secondary turns, and Np is the number of primary turns. Plugging in the numbers:

120 V * (300/200) = Vs

Thus:

120 V * 1.5 = 180 VAC

The voltage across the secondary winding is 180 VAC.

User David Haynes
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