I am trying to understand Faradays law of Induction. As far as I know when we are speaking about the E field we mean the field caused by charges(stationary or moving) whose value we can calculate by coulombs law, or electromagnetic waves caused my accelerating charges.

So would it be correct to say that Faradays law of induction takes a property of the movement of electric charges(the change in magnetic flux through some loop) and relates it to a property of the electromagetic waves in space( the EMF around the loop caused by the waves).

$$\nabla\times\mathbf{E}=-\frac{\partial\mathbf{B}}{\partial t}$$