Question

What are the various forces acting on the charged particle?

Hint:

The total force on a charged particle moving in an electric and magnetic field is the vector sum of the electric and magnetic forces.

Answer 1

There are two forces acting on the negatively charged particle: 1. Electric Force: The electric field \( \mathbf{E} \) exerts a force on the particle given by: \[ \mathbf{F_E} = q \mathbf{E} \] Where \( q \) is the charge of the particle. 2. Magnetic Force: The magnetic field \( \mathbf{B} \) exerting a force on the particle due to its velocity is given by: \[ \mathbf{F_B} = q \mathbf{v} \times \mathbf{B} \] Where \( \mathbf{v} \) is the velocity of the particle and \( \mathbf{B} \) is the magnetic field. The direction of \( \mathbf{F_B} \) is given by the right-hand rule, which is perpendicular to both \( \mathbf{v} \) and \( \mathbf{B} \).