Is the turns ratio of a transformer directly proportional to voltage?

The turns ratio of a transformer is indeed directly proportional to the voltage. This means that if you know the turns ratio, you can predict how the voltage will change between the primary (input) side and the secondary (output) side of the transformer.

In a transformer, the relationship between the primary voltage, secondary voltage, and the turns ratio is governed by the formula:

[ V_s = V_p \times \left( \frac{N_s}{N_p} \right) ]

where ( V_s ) is the secondary voltage, ( V_p ) is the primary voltage, ( N_s ) is the number of turns on the secondary winding, and ( N_p ) is the number of turns on the primary winding. From this formula, it becomes clear that as the turns ratio changes, the voltage output will change proportionally.

If the transformer has a greater number of turns in the secondary winding compared to the primary winding (step-up transformer), the output voltage will increase relative to the input voltage. Conversely, if there are fewer turns on the secondary than on the primary (step-down transformer), the output voltage will be less than the input voltage. This direct relationship shows that the turns ratio is a critical factor affecting