What voltage is produced by a transformer with a 1,000:1 turns ratio and an incoming voltage of 600 volts?

To determine the output voltage produced by a transformer with a given turns ratio, you can use the formula that relates the primary voltage (incoming voltage) to the secondary voltage (output voltage) based on the turns ratio. The formula is:

[ V_s = V_p \times \left( \frac{N_s}{N_p} \right) ]

Where:

• ( V_s ) is the secondary voltage,

• ( V_p ) is the primary voltage (incoming voltage),

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

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

In this case, a 1,000:1 turns ratio implies that for every 1 turn on the primary side, there are 1,000 turns on the secondary side. Therefore, ( N_s / N_p = 1,000/1 ).

Given the primary voltage is 600 volts, you can compute the secondary voltage as follows:

[ V_s = 600 \times 1,000 = 600,000 , V ]

This shows that the output voltage produced by the transformer is indeed 600,000 volts. The turns ratio significantly steps up the