Current I =$ne AV_{d}$
The large value of I is because of number density of free electrons in a conductor (n) which is of the order n = $10^{28} \, per \,m^{3}$
Electromagnetic Induction is a current produced by the voltage production due to a changing magnetic field. This happens in one of the two conditions:-
When we place the conductor in a changing magnetic field.
When the conductor constantly moves in a stationary field.