Is it true that magnetic flux lines cutting a conductor will generate a voltage?

The statement that magnetic flux lines cutting a conductor will generate a voltage is true due to Faraday's Law of Electromagnetic Induction. This law states that a change in magnetic flux through a conductor induces an electromotive force (EMF) or voltage in that conductor. This phenomenon occurs whenever there is relative motion between the magnetic field and the conductor, which can happen in various scenarios, including rotating generators or any situation where magnetic fields change over time.

When the magnetic flux lines cut across the conductive material, it creates a flow of electric charge, resulting in voltage across the conductor. This principle is foundational in electrical engineering and is the basis for many applications such as electric generators, transformers, and inductors.

The other options imply conditions or scenarios that do not accurately explain the relationship between magnetic fields and voltage generation. For instance, suggesting it depends on the conductor might overlook that any conductor will experience induced voltage when subjected to changing magnetic flux, regardless of material properties like resistivity. Additionally, stating that this only occurs in AC does not take into account that the motion of a conductor within a static magnetic field can also induce voltage.