The induced current generated in the loop by the magnetic flux change has the same properties as the current generated by the battery in the circuit, even though the size of the induced current depends on the wire thickness and material. This inspires us to think that the change in magnetic flux produces a certain electromotive force, which we call the induced electromotive force.
The induced electromotive force is directly related to conductor length, magnetic induction intensity and conductor speed, but not to induced current.
Epsilon = - delta phi/delta t
The induced electromotive force is proportional to the negative rate of change of the magnetic flux, which is the law of electromagnetic induction summarized by Faraday.