Solution Found!
A charged particle of mass m and positive charge q moves
Chapter 2, Problem 2.53(choose chapter or problem)
A charged particle of mass m and positive charge q moves in uniform electric and magnetic fields, E and B, both pointing in the z direction. The net force on the particle is F = q(E + v x B). Write down the equation of motion for the particle and resolve it into its three components. Solve the equations and describe the particle's motion.
Questions & Answers
QUESTION:
A charged particle of mass m and positive charge q moves in uniform electric and magnetic fields, E and B, both pointing in the z direction. The net force on the particle is F = q(E + v x B). Write down the equation of motion for the particle and resolve it into its three components. Solve the equations and describe the particle's motion.
ANSWER:Step 1 of 3
The components of the force are \(\mathbf{F} = q(\mathbf{E} + \mathbf{v} \times \mathbf{B}) = q(v_yB,-v_xB, E)\), so the three components of \(m \mathbf{a} = \mathbf{F}\) are