If a transformer has 400 turns in the primary and 200 turns in the secondary, what is the voltage on the secondary with 240 volts applied to the primary?

To determine the voltage on the secondary side of the transformer, you can use the transformer turns ratio, which relates the number of turns in the primary coil to the number of turns in the secondary coil, and the voltages across each side. The relationship can be expressed with the formula:

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

where ( V_p ) is the primary voltage, ( V_s ) is the secondary voltage, ( N_p ) is the number of turns on the primary, and ( N_s ) is the number of turns on the secondary.

Given that the transformer has:

• 400 turns in the primary (( N_p = 400 ))

• 200 turns in the secondary (( N_s = 200 ))

• A primary voltage of 240 volts (( V_p = 240 ) volts)

The turns ratio can be calculated as:

[ \frac{N_p}{N_s} = \frac{400}{200} = 2 ]

This means the primary has twice the number of turns as the secondary. According to the formula, the secondary voltage can be found by rearranging it:

[ V_s