This is something that I just realized bothers me, after thinking about it too much. Faradays law tells us a changing magnetic field creates a circulating electric field. This electric field has a time dependence and therefore by Amperes law creates a circulating magnetic field. This is usually where flux/emf problems stop. But won't the time dependence of the induced circulating B field create a new second E field which will then create a third B field and so on ad infinitum? This is how EM waves propagate, so why don't we consider this chain in flux problems?