In a long primary solenoid,if we introduce a secondary one on its outer surface,due to mutual inductance-an emf is generated in the secondary one according to Lenz's law if there is a time varying current in the primary coil.
1.we know that for an infinite solenoid,there is no magnetic field outside it-hence there is no magnetic field in the secondary coil placed over it.All field is inside the primary coil.
2.There is no electric field as the primary coil is electrically neutral overall-irrespective of current flowing through it.
3.The electrons in the secondary coil experiences a force which causes the current.
Considering all these together,we can conclude that the electron in secondary coil-which is in a region of no electric or magnetic field still experiences a force.How is it possible?