An electron moves in the negative x direction, through a uniform magnetic field in the negative y direction. The magnetic force on the electron is

Explanation

The magnetic force (F) on a charged particle moving through a magnetic field is given by the equation:\[ F = q \times (v \times B) \]Given:- The electron moves in the negative x direction (v = -v i)- The magnetic field is in the negative y direction (B = -B j)- The charge of an electron is negative (q = -e)Using the right-hand rule for the cross product of vectors and considering the negative charge of the electron:- Velocity (v) is in the negative x direction: v = -v i- Magnetic field (B) is in the negative y direction: B = -B jThe direction of the force (F) can be found using the cross product:\[ v \times B = (-v i) \times (-B j) = vB k \]Since the electron has a negative charge, the force direction is reversed:\[ F= -e (vB k) = -evB k \]Therefore, the magnetic force on the electron is in the negative z direction.Correct Option:(a) in the negative z direction Conclusion:The magnetic force on an electron moving in the negative x direction through a uniform magnetic field in the negative y direction is in the negative z direction (option a)