How is the voltage ratio related to the coil turns ratio on a transformer?

The relationship between the voltage ratio and the coil turns ratio in a transformer is grounded in the principle of electromagnetic induction. In essence, the voltage across the primary coil is related to the voltage across the secondary coil by the same ratio as the number of turns in the primary coil to the number of turns in the secondary coil. This means that if the secondary coil has more turns than the primary, it will induce a higher voltage. Conversely, if the primary has more turns, the voltage induced in the secondary will be lower.

This principle is articulated in the transformer equation, which states that the ratio of the voltages across the coils is equal to the ratio of the number of turns in those coils. Therefore, if you increase the number of turns on the secondary coil, you will see a corresponding increase in voltage, confirming that voltage is directly proportional to the number of turns. This fundamental property allows transformers to either step-up or step-down voltages efficiently in various electrical applications.