Final answer:
Yes, the magnetic flux changes continuously when a generator coil is turning within a constant magnetic field, due to changes in the angle of intersection between the magnetic field and the rotating coil that lead to changes in flux.
Step-by-step explanation:
If the magnetic field produced by the magnets in a generator is constant, does the magnetic flux through the generator coil change when it is turning? The answer is yes, because the magnetic flux through the loop changes continuously. When the coil of a generator is rotated, there is a change in the orientation of the coil relative to the magnetic field, resulting in a change of the magnetic flux through the coil. According to Faraday's Law of electromagnetic induction, an electromotive force (emf) is induced in a circuit whenever there is a change in magnetic flux through that circuit. Therefore, the rotating motion of the coil within a stationary magnetic field leads to the generation of an alternating current (AC) because the flux changes as the coil turns.
In more detail, as seen in Figure 23.21 or 13.28, a generator with a single rectangular coil rotated at a constant angular velocity in a uniform magnetic field produces an emf that varies sinusoidally with time. This happens because rotating the coil changes the angle at which the magnetic field lines intersect the coil, which changes the magnetic flux (Ø) through the coil. The physical consequence of this phenomenon is a current that is produced in the electric circuit connected to the generator.