I have a problem. So the curl of the E field is supposed to be zero always, which tells us that it is a conservative force (path independence and scalar potential and so on). But what about the fact that the induced electric field consequent upon changes in magnetic flux is circular? Doesn't this mean that if we sustained such a field we would have a non-conservative electric field? Is this a problem, or is it just that the claim about electric fields having zero curl has application only to electrostatics?