Final answer:
With a stationary coil in a stationary magnetic field, no change in magnetic flux occurs, so no induced emf or current is produced in the coil, in compliance with Faraday's Law of Induction.
Step-by-step explanation:
When a coil of wire is subjected to a magnetic field but neither the coil nor the magnetic field is moving, there is no change in magnetic flux, and hence, no induced emf or current flow occurs. According to Faraday's Law of Induction, it is the change in magnetic flux that will induce an emf, and in turn, if a path is available, induce a current. The necessity for a change could be the result of either the magnetic field's strength changing, the area through which the field lines pass changing, the coil moving, or the angle between the field and the coil changing.
An example to illustrate this phenomenon is when a conducting plate passes between the poles of a magnet. As the plate enters and exits the magnetic field, the change in flux produces an eddy current. However, when the plate is completely within a uniform magnetic field and is not moving, no current is induced, which is directly related to the stationary condition asked about in the student's query. Magnetic flux will only result in induced currents and potential differences when the flux through the coil changes due to the coil's or the magnetic field's motion.