The ratio of coils of wire in the primary winding to the secondary winding of a transformer is 3:2. How does the transformer change the voltage of a current applied to the primary winding?

It increases to three-halves times the original.

It decreases to two-thirds the original.

It increases to three times the original.

It decreases to one-third the original.

In a transformer, the ratio of the electromotive forces (EMFs), or voltages, at the primary and secondary ends of the transformer is equivalent to the ratio of the turns in the winding of the primary and secondary end. Mathematically:

E₁/E₂ = T₁/T₂

Given that T₁/T₂ = 3/2,

E₁/E₂ = 3/2

E₂ = 2/3 E₁

Therefore, the voltage decreases to two-thirds of the original value.