If a transformer has 200 windings in its primary and receives 120VAC, how many volts would the secondary with 400 windings produce?

To determine the output voltage of the secondary winding of a transformer based on the number of windings in the primary and secondary, the transformer turns ratio can be used. The relationship is defined by 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 (windings) in the primary, and ( N_s ) is the number of turns in the secondary.

In this scenario, the primary winding has 200 turns and the transformer is supplied with 120VAC. The secondary winding has 400 turns. Using the formula, we can rearrange it to solve for the secondary voltage:

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

Substituting the known values into the equation:

[ V_s = 120V \times \frac{400}{200} ]

This simplifies to:

[ V_s = 120V \times 2 = 240V ]

Thus, the secondary voltage produced by the transformer with 400 windings is 240 volts. This