Purchase Solution

the motion of a particle in uniform electric and magnetic fi

Not what you're looking for?

Ask Custom Question

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.

Attachments
Purchase this Solution
Solution Summary

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

Purchase this Solution
Free BrainMass Quizzes
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.

Basic Physics

This quiz will test your knowledge about basic Physics.

View More Free Quizzes
Related BrainMass Solutions

  • Motion of charged particle in uniform electric & magnetic fields

    496330 Motion of charged particle in uniform electric & magnetic fields In this question we will consider the motion of a charged particle in uniform electric and magnetic fields that are perpendicular.

  • Magnetic Effects of Current

    The electric field is then replaced with a uniform magnetic field B. Calculate the direction and magnitude of B so that the circular motion of the particle remains unchanged. Please refer to the attachment.

  • The Motion of a Charge Particle in a Magnetic and Electric Field

    57505 Motion of a charge particle in Magnetic and electric field. A positive ion with charge 4.8 x 10(-19) C is traveling at a speed of 3 x 10(7) ms(-1) above the earth's atmosphere from East to West along the equator.

  • Motion of a particle on a circle.

    140949 Motion of a particle on a circle. A particle undergoes uniform circular motion of radius 26.1 μm in a uniform magnetic field. The magnetic force on the particle has a magnitude of 1.60 x 10-17 N.

  • The Motion of a Charged Particle in Electric and Magnetic Field

    140935 Motion of a charged particle in electric and magnetic field. Crossed Fields Please review my solution to the problem and explain in detail what I may be doing wrong and what concepts I may not be applying correctly.

  • Electron's motion in Electro Magnetic field

    208821 An electron moves in a force field due to a uniform electric field E and a uniform magnetic fiedl B that is at right angles to E. Let E = jE and B = kB.

  • Charge-to-mass ratio of charged particle

    34301 Charge-to-Mass Ratio of Charged Particle A charged particle moves through a velocity selector at a constant speed in a straight line. The electric field of the velocity selector is 3.25 103 N/C, while the magnetic field is 0.360 T.

  • Electromagnetism: Force on charge moving in magnetic field.

    313092 Electromagnetism: Force on charge moving in magnetic field A positively charged particle of mass 7.28E-8 kg is traveling due east with a speed of 85.7 m/s and enters a 0.290 T uniform magnetic field.

  • Three Charged Particles Injected into a Uniform Magnetic Field

    As the radius of particle 1 is not the largest (largest radius is that of particle 3), its mass can't be the greatest. This solution helps answer question regarding particles injected in a uniform magnetic field.

View More Related Solutions