If 100 volts are applied to a transformer with a primary rated voltage of 120 volts, how many volts will be induced in the secondary rated at 24 volts?

To determine the voltage induced in the secondary of the transformer when 100 volts is applied to the primary, we can use the transformer turns ratio concept.

The transformer operates on the principle that the ratio of the primary voltage to the secondary voltage is equal to the ratio of the number of turns in the primary winding to the number of turns in the secondary winding. In this case, the primary is rated at 120 volts, and the secondary is rated at 24 volts. The turns ratio can be calculated as follows:

[

\text{Turns Ratio} = \frac{V_{primary}}{V_{secondary}} = \frac{120\text{ V}}{24\text{ V}} = 5

]

When 100 volts is applied to the primary side, the voltage in the secondary can be calculated by rearranging the turns ratio relationship:

[

V_{secondary} = \frac{V_{primary}}{\text{Turns Ratio}} = \frac{100\text{ V}}{5} = 20\text{ V}

]

Thus, when 100 volts are applied to the primary winding, the induced voltage in the secondary winding will indeed be 20 volts. Therefore, the voltage induced in