If a conductor is parallel with the flux lines of a magnetic field, what will happen to the voltage?

When a conductor is parallel to the flux lines of a magnetic field, it does not cut across these lines. The fundamental principle at play here is Faraday's Law of Electromagnetic Induction, which states that a voltage is induced in a conductor when it moves through a magnetic field and cuts across the magnetic flux lines. If the conductor is positioned parallel to the flux lines, there is no relative motion through the lines that would cause the field to be "cut." Consequently, no electromagnetic induction occurs, leading to a situation where the induced voltage is zero.

This aligns perfectly with the principles of electromagnetism, where induced voltage is maximized when the conductor moves perpendicularly to the magnetic field lines. Since in this case, there is no such motion, the voltage remains unchanged and is effectively zero.