Final answer:
An electron inside a current-carrying solenoid experiences no force if it moves along the direction of the magnetic field or is at rest. The magnetic field within a solenoid is highly uniform along its axis, but negligible outside or near the ends of the solenoid.
Step-by-step explanation:
An electron moving within a current-carrying solenoid experiences no force if it is moving parallel or antiparallel to the magnetic field lines. The magnetic field produced by a solenoid is extremely uniform inside and directed along the axis of the solenoid. However, when an electron moves perpendicular to the magnetic field lines, it feels a force perpendicular to both its velocity and the field, usually resulting in circular or spiral motion. In the scenario where the electron feels no force, it may either be at rest, moving parallel/antiparallel to the magnetic field, or it is situated in a region where the magnetic field is effectively zero, such as near the center of a very long solenoid or outside its ends where the field lines spread out and cancel.