Faraday's law for constant velocity, area and B-field

[greypilgrim]

Hi.

If a planar wire loop is moved through a homogeneous magnetic field (field lines perpendicular to the loop plane) with constant velocity and no rotation, Lorentz force will move some electrons to one side of the loop, creating a potential difference. But how does this work with Faraday's law
$$EMF=-\frac{d\Phi}{dt}$$
when neither the area enclosed by the loop nor its orientation nor the magnetic field are changing?

 

[Doc Al]

Consider the net EMF for the loop.

 

[lychette]

Induced emf = rate of change of flux linkage