If a transformer has 1000 turns in the primary coil and 500 turns in the secondary, what will be the output voltage when 120 volts are applied?

To determine the output voltage of a transformer, you can use the formula that relates the primary voltage, secondary voltage, primary turns, and secondary turns. The formula is:

( \frac{V_p}{V_s} = \frac{N_p}{N_s} )

where:

• ( V_p ) is the primary voltage (input),
• ( V_s ) is the secondary voltage (output),
• ( N_p ) is the number of turns in the primary coil,
• ( N_s ) is the number of turns in the secondary coil.

In this case, the primary voltage is 120 volts, the primary turns are 1000, and the secondary turns are 500.

By rearranging the formula to solve for the secondary voltage, we have:

( V_s = V_p \cdot \frac{N_s}{N_p} )

Substituting the known values:

( V_s = 120 \cdot \frac{500}{1000} )

This simplifies to:

( V_s = 120 \cdot 0.5 = 60 ) volts.

Therefore, when 120 volts are applied to a transformer with 1000 turns in the primary and