Question

A transformer increases the input voltage from 12V to 12,000V. What is the ratio of the number of wire turns on the primary coil to the number of turns on the secondary coil.

Answer 1

`(n_p)/(n_s)=(1)/(1000)`

Explanation:

Given voltage of primary coil is
`V_p=12V`

And voltage of secondary coil is
`V_s=12,000V`

A transformer is a device that contains primary and secondary coil. These coils are mounted on soft iron. The change in voltage depends upon the number of turns of primary coil
`(n_p)` and secondary coil
`(n_s)`.

Following equation represents the relation between them.

`(V_s)/(V_p) =(n_s)/(n_p)\\\\(12,000)/(12)=(n_s)/(n_p)\\\\1000=(n_s)/(n_p)`

Then, ratio of the number of wire turns on the primary coil to the number of turns on the secondary coil is

`(n_p)/(n_s)=(1)/(1000)`