The primary voltage of a transformer is 120V with 100 turns in the primary winding. If the secondary voltage is 12V, how many turns are in the secondary winding?

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To find the number of turns in the secondary winding of a transformer, you can use the transformer turns ratio formula, which relates the primary and secondary voltages and the number of turns in each winding. The formula is as follows:

[

\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 in the primary winding, and (N_s) is the number of turns in the secondary winding.

In this scenario, the primary voltage ((V_p)) is 120V, the secondary voltage ((V_s)) is 12V, and there are 100 turns in the primary winding ((N_p)). We need to find (N_s), the number of turns in the secondary winding.

First, we rearrange the formula to solve for (N_s):

[

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

]

Substituting the known values into the formula gives:

[

N_s = 100 \times \frac{12}{120}

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