Final answer:
A transformer can have more, fewer, or an equal number of primary and secondary turns, and its operation is described by the transformer equation, which relates voltage and the number of turns in the coils.
Step-by-step explanation:
If continuity IS proven between primary and secondary, the transformer can have more, fewer, or an equal number of primary and secondary turns. This flexibility in design allows for different types of transformers, such as step-up transformers, which increase voltage and decrease current, and step-down transformers, which decrease voltage and increase current. The key point is that the transformer's operation is based on the transformer equation, which states that the ratio of the secondary voltage to the primary voltage equals the ratio of the number of turns (or loops) in the secondary coil to the number of turns in the primary coil. This relationship ensures that even if the number of turns differs between the primary and secondary coils, the transformer can still function as intended, altering voltages and currents in accordance with the transformer's design.
In a step-up transformer, the primary winding will have fewer turns than the secondary one, while in a step-down transformer, the primary winding will have more turns.