What is the voltage output of a transformer with 250 primary turns and 500 secondary turns when given an input of 120 volts?

To determine the voltage output of a transformer, you can use the transformer turns ratio formula, which is based on the relationship between the number of turns in the primary and secondary coils compared to the voltages. The formula is as follows:

[ \frac{V_s}{V_p} = \frac{N_s}{N_p} ]

Where:

• ( V_s ) is the secondary voltage,

• ( V_p ) is the primary voltage,

• ( N_s ) is the number of turns in the secondary coil,

• ( N_p ) is the number of turns in the primary coil.

In this scenario, the transformer has 250 primary turns and 500 secondary turns, and the input (primary voltage) is 120 volts.

Using the values given:

• ( N_p = 250 )

• ( N_s = 500 )

We can calculate the output voltage as follows:

1. First, set up the ratio:

[ \frac{V_s}{120} = \frac{500}{250} ]

2. Simplifying the ratio of turns gives:

[ \frac{500}{250} = 2 ]

3. Now, solve for (