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If a step-down transformer has a turns ratio of 1:10, what will the output voltage be if the input voltage is 220 V?

A. 22 V
B. 22 kV
C. 220 V
D. 220 kV

Answer :

Final answer:

The output voltage of a step-down transformer with a turns ratio of 1:10 and an input voltage of 220 V is 22 V. The transformer equation, which states that the ratio of the output voltage to the input voltage equals the turns ratio, was used to solve this question.

Explanation:

The question asks about the output voltage of a step-down transformer with a turns ratio of 1:10 when the input voltage is 220 V. In a transformer, the output voltage depends almost entirely on the input voltage and the ratio of the number of turns in the primary and secondary coils, which is known as the transformer equation.

This equation states that the ratio of the secondary voltage (Vs) to the primary voltage (Vp) equals the ratio of the number of turns in the secondary coil (Ns) to the number of turns in the primary coil (Np). Therefore, if we arrange the equation in terms of Vs, we get Vs = (Ns/Np) * Vp. Here, Ns/Np is the turns ratio, which in the case of the question is 1:10 or 0.1, and the primary voltage, Vp, is 220 V. Substituting these values into the equation, we obtain Vs = 0.1 * 220 V = 22 V. Hence the output voltage of the transformer is 22 V, so the correct answer is A. 22 V.

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