A transformer has 1000 turns on the primary side and 500 turns on the secondary side. If the input voltage is 120v, what is the output voltage?

In a transformer, the relationship between the primary and secondary voltages is directly related to the number of turns on each side. This relationship is expressed 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 on the primary side, and ( N_s ) is the number of turns on the secondary side.

In this case, the transformer has 1000 turns on the primary side and 500 turns on the secondary side, with an input voltage (primary voltage) of 120 volts. By plugging these values into the formula, we can find the output (secondary) voltage:

[

\frac{120V}{V_s} = \frac{1000}{500}

]

This simplifies to:

[

\frac{120V}{V_s} = 2

]

From this equation, to find ( V_s ):

[

V_s = \frac{120V}{2} = 60V

]

The answer is 60 volts, which accurately reflects the transformer's