With a transformer having 1000 turns on the primary and 2000 turns on the secondary, what would be the output voltage if the input is 120v?

To find the output voltage of a transformer, we can use the turns ratio formula, which relates the input (primary) voltage to the output (secondary) voltage based on the ratio of turns on the primary and secondary coils. This relationship is expressed as:

[ V_p / V_s = 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.

In this scenario, the transformer has 1000 turns on the primary (N_p = 1000) and 2000 turns on the secondary (N_s = 2000). The input voltage (V_p) is 120 volts.

We can set up the equation as follows:

[ 120V / V_s = 1000 / 2000 ]

The turns ratio (1000 / 2000) simplifies to 1/2. To find the secondary voltage (V_s), we can rearrange the equation:

[ V_s = V_p \times (N_s / N_p) ]

Substituting in the known values: