Flaw in the integral form of faradays law with large loops

The situation is as such. you have a magnetic passing through a loop(loop 1)of wire as some time t, say you also have a larger loop of say one light year in radius surrounding loop 1, call this loop 2. at some time t the magnetic field is shut off. when this happens would loop 2 instantaneously respond via Faraday's law? The integral form of Faraday's law makes no distinction about the radius of the loop?



Is this possible? what am I missing, these type of paradoxical statements come up with relativity but Maxwell's equations are generally paradox friend and play well with relativity.