Mathematical relationship between the induced e.m.f and the network

Faraday noted that the e.m.f induced in a loop is proportional to the rate of change of magnetic flux by it:

Where; e is the electromotive force induced (in volts)

    N is the number of turns of the coil

    dΦ is the change of flux in Weber, Wb

     dt is the time taken for the flux to change in seconds.

*Notice the negative sign is the induced current will now form an induced magnetic field. The direction of that magnetic field will be conflicting to the direction the flux is changing.