What are the relationships between Fleming's right-hand rule and induced e.m.f. direction?

Right-hand thumb rule:

If we held the current-carrying conductor in the right hand with the thumb pointing in the direction of the current, the fingers circled the wire in the direction of the magnetic field.

To determine the direction of induced emf, apply the right-hand rule. If the thumb is pointing in the direction of conductor motion and the first finger is pointing in the direction of the magnetic field, the second finger indicates the direction of the induced current (north to south).