Final answer:
To find the maximum and minimum magnitudes of the magnetic force experienced by the electron, we use the equation F = qvBsin(θ). By calculating the charge of the electron and substituting the given values, we can determine the maximum and minimum forces.
Step-by-step explanation:
To determine the maximum and minimum magnitudes of the magnetic force experienced by the electron, we can use the equation F = qvBsin(θ), where F is the force, q is the charge of the electron, v is its velocity, B is the magnetic field strength, and θ is the angle between the velocity and the magnetic field.
(a) Since the electron is accelerated through a voltage, it gains kinetic energy. This kinetic energy can be equated to the work done by the magnetic force. Equating these two, we have (1/2)mv^2 = qvBd, where m is the mass of the electron and d is the distance it travels. Rearranging the equation, we get q = (1/2)mvBd/v^2. Substituting the given values, we can calculate q and then find the maximum magnitude of the magnetic force using F = qvBsin(θ).
(b) Similarly, we can calculate the minimum magnitude of the magnetic force by considering the smallest possible angle between the electron's velocity and the magnetic field.