If a transformer has a turns ratio of 3:1 and a primary voltage of 120 volts, what will be the secondary voltage?

To determine the secondary voltage of a transformer based on its turns ratio and primary voltage, we can use the formula related to transformers:

[

\text{Secondary Voltage} = \text{Primary Voltage} \times \left( \frac{\text{Number of Turns in Secondary}}{\text{Number of Turns in Primary}} \right)

]

In the case mentioned, the turns ratio is 3:1, where the primary has 3 turns, and the secondary has 1 turn. This indicates that for every 3 turns on the primary winding, there is 1 turn on the secondary winding.

Given that the primary voltage is 120 volts, you would set up your calculation as follows:

[

\text{Secondary Voltage} = 120 , \text{volts} \times \left( \frac{1}{3} \right) = 120 , \text{volts} \div 3 = 40 , \text{volts}

]

Because the turns ratio indicates a step-down transformer (as the primary has more turns than the secondary), the secondary voltage can be accurately calculated at 40 volts. This reflects the relationship inherent in the transformer design, confirming that the