#### The General Form of Faraday's Law

A changing flux induces an emf, or potential difference, in a loop. Whenever we have a potential difference we have an electric field. If the potential difference is the induced emf, we get:

ε = ∫ **E** **ds**

The integral should be carried out over a closed loop so we can bring in the changing flux in that loop:

ε = -dΦ_{B}/dt

This gives, integrating around a closed loop, the general form of Faraday's Law:

∫ **E** **ds** = -dΦ_{B}/dt

Electric fields produced by changing magnetic fields have some interesting properties:

- the electric field lines are continuous loops
- the electric field is non-conservative