The equation for voltage transformation in a transformer states that primary voltage divided by secondary voltage equals what?

The equation for voltage transformation in a transformer is expressed as the ratio of the primary voltage to the secondary voltage, which is equal to the ratio of the number of turns on the primary coil to the number of turns on the secondary coil. This relationship can be represented by the formula:

[ \frac{V_p}{V_s} = \frac{N_p}{N_s} ]

where (V_p) is the primary voltage, (V_s) is the secondary voltage, (N_p) is the number of turns on the primary coil, and (N_s) is the number of turns on the secondary coil.

In this context, the primary number of turns plays a crucial role because it directly affects the voltage transformation ratio. When you divide the primary voltage by the secondary voltage, you're essentially finding how the voltage is stepped up or stepped down based on the number of turns in each coil. If the primary coil has more turns, it will typically generate a higher voltage, indicating that the turned ratio reflects the transformations happening within the transformer.

Understanding this relationship is essential when analyzing how transformers manipulate voltage levels for different applications, such as in power distribution systems.