Final answer:
The angle that maximizes the magnetic force when an electron's velocity is perpendicular to the magnetic field is 90 degrees. This uses the fundamental principles of magnetic forces on moving charges in Physics.
Step-by-step explanation:
The question asks for the angle between the velocity of an electron and a magnetic field based on the experienced magnetic force. Using the magnetic force equation F = qvBsin(θ), where F is the magnetic force, q is the electric charge, v is the velocity of the charge, B is the magnetic field, and θ is the angle between v and B, we can solve for θ knowing the other variables. We must keep in mind that the force is always perpendicular to both the velocity of the charge and the magnetic field vectors. Since the electron is moving in the plane perpendicular to the magnetic field, the calculated angle is 90 degrees for the maximum force, which aligns with the example calculations provided.