Question

A transformer will be used to increase an ac voltage 12 times. What should be the ratio of the number of turns of the output (secondary) coil to the number of turns of the input (primary) coil?

Answer 1

The ratio of the number of turns of the secondary coil to the primary coil in a transformer that increases voltage by a factor of 12 is 12:1, according to the transformer equation.

Step-by-step explanation:

To calculate the ratio of the number of turns in the secondary coil to the number of turns in the primary coil of a transformer that increases an ac voltage 12 times, you can use the transformer equation. This equation states that the ratio of the secondary voltage to the primary voltage is equal to the ratio of the number of turns in the secondary coil to the number of turns in the primary coil.

Let Np be the number of turns in the primary coil, and Ns the number of turns in the secondary coil. The voltage increase factor is 12, so we have:

Vs / Vp = Ns / Np

12 = Ns / Np

Thus, the ratio of the number of turns in the secondary to the number of turns in the primary must be 12:1.