Final answer:
There is not enough information given to rank the voltage output of secondaries V1, V2, and V3 definitively. However, in a step-down transformer scenario, the more turns on the secondary coil, the lower the voltage output will be relative to the primary voltage (V1 > V2). Conversely, in a step-up transformer scenario, fewer turns on the secondary would result in a higher voltage output compared to the primary (V2 > V1).
Step-by-step explanation:
To rank the voltage output of the secondaries from greatest to least, one needs to understand the principles of a transformer. A transformer works on the principle of electromagnetic induction and transfers electrical energy between two circuits through inductively coupled conductors—the transformer's coils or "windings". For a step-down transformer, the primary voltage is higher than the secondary voltage (V1 > V2), which means that if you have multiple secondary coils, the one with the most turns will have the highest secondary voltage output. Similarly, for a step-up transformer, the primary voltage would be lower than the secondary voltage (V2 > V1).
Considering resistance and current, if the primary current is higher than the secondary current (I1 > I2), the transformer is stepping down the voltage. Conversely, if the primary current is lower than the secondary current (I2 > I1), the transformer is stepping up the voltage. Without additional information about the number of turns or the specific characteristics of the transformers being discussed, it's challenging to rank the output voltage of V1, V2, and V3 definitively. However, it can generally be stated that for step-down transformers, the more turns on the secondary relative to the primary, the lower the secondary voltage will be.