Stationary conductor in a time varying magnetic field, emf equation

A question has been asked before, but hasn’t got a detailed answer.

For a conduction loop in a time varying magnetic field, we get the emf as the rate of change of flux in inside the loop.
But, in the case of a straight conductor in time varying magnetic field, perpendicular to it, there is no loop, there is no field enclosed by the conductor, there is field on the either side of the conductor.

How do I proceed if I were to find an equation for the emf induced?