Purchase Solution

# the motion of a particle in uniform electric and magnetic fi

Not what you're looking for?

Full question is attached.
1) In this question we will consider the motion of a charged particle in uniform electric and magnetic fields that are perpendicular. You may ignore the effects of gravity throughout this question.

a)
i) Consider a charged particle of mass m and charge q which is moving in a uniform electric field E = Eey and a perpendicular uniform magnetic field B = Bez. Show that the equations of motion for the particle are,

ii) If the particle is at rest at time t = 0, verify that

iii) Hence determine the position of the particle at time t, assuming that it was located at the origin at t = 0

b) An infinite metal plate occupies the xz-plane (y=0). The plate is kept at zero potential, V = 0. (see figure 1 below) Photoelectrons are liberated from the plate at y = 0 by ultraviolet radiation. The initial velocity of the photoelectrons is negligible. A uniform magnetic field B is maintained parallel to the plate in the positive z-direction and a uniform electric field E is maintained perpendicular to the plate in the negative y-direction. The electric field is produced by a second infinite plate parallel to the first plate, maintained at a constant positive voltage V0 with respect to the first plate. The separation of the plated is d.

##### Solution Summary

The solution analyzes the motion of a particle in uniform electric and magnetic fields in detail.

##### Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

##### Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

##### Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

##### Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.