1. The problem statement, all variables and given/known data I'm in a class where we have to essentially learn E&M ourselves and I'm challenged by Maxwells equations. I'm studying out of Purcell's E&M. The differential form of Faradays law for Maxwells equations is curl E = -∂B/∂t Im having trouble interpreting what to make of this. I know that the law is supposed to state that a changing magnetic field (right term) will induce a current. How does curlE represent current? I know that curl is a way of determining how much a vector field rotates but can't seem to merge this with the idea of induced current.