A LovattPhysics video showing the factors that affect the generated emf using an AC generator. It also looks at the mathematics behind the shape of an AC voltage/time graph.
ram lal in a generator there is a permanent magnetic field running straight across the coil. The field lines are just straight lines from north to south in that case. I think I have a GCSE video on generators which you could look at for the basic idea? Hope that helps!