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 determine the output voltage of a transformer based on the turns ratio, you can use the formula:

[

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

]

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

In this case, the transformer has 1000 turns on the primary coil and 2000 turns on the secondary coil. The input voltage (primary voltage) is 120 volts.

Given:

• (N_p = 1000)

• (N_s = 2000)

• (V_p = 120)

Plugging the values into the formula:

[

\frac{V_s}{120} = \frac{2000}{1000}

]

Simplifying the right side gives:

[

\frac{V_s}{120} = 2

]

To find (V_s), multiply both sides by 120:

[

V_s = 2 \times 120 = 240 \text{ volts}

]