Which formula represents the relationship between voltage and current of transformer windings?

The selected formula captures the essential principle of transformer operation known as the transformer turn ratio. In transformers, voltage and current are interrelated, and this relationship defines how transformers can increase or decrease voltage levels while also influencing current levels in accordance with the winding turns.

The formula articulates that the ratio of primary voltage to secondary voltage is equal to the ratio of secondary current to primary current. This relationship arises from the conservation of energy principle, which dictates that the power input must equal the power output in an ideal transformer (ignoring losses).

Mathematically, this relationship can be derived from the basic power equation, where power (P) is equal to voltage (V) multiplied by current (I). Thus, for transformers:

Power in the primary winding = Power in the secondary winding

(Vprimary * Iprimary) = (Vsecondary * Isecondary)

From this equation, we can rearrange terms to find the relationship between voltage and current, which leads to:

(Vprimary / Vsecondary) = (Isecondary / Iprimary)

This indicates that, as the voltage increases in the secondary winding, the current decreases in such a way that the product of voltage and current remains constant, reflecting the conservation of energy as it pertains to the transformer. The