How does current start moving in an induction circuit?

At, $t=0$, you just start moving the coil of the A.C source, in a magnetic field, such that an emf is induced.

Initially, $E=0$, and what I believe is that the current is just flowing in the circuit through the inductor. But what I've read in the textbook is that the current is already in its peak value at $t=0$, when $E=0$ where its phasor lags behind the voltage's phasor by $90^o$.

How is this even possible?

Please provide Current-Emf-time graph starting from $t=0$ as well.