Purchase Solution

Vectors and Velocity Problem

Not what you're looking for?

Ask Custom Question

I need a perfect step by step solution of the following problem:

A particle of charge q is started at the origin with an initial velocity (vector)v_0 = v_0 x(^), in a region where a uniform electric field exists (vector)E = E_0 z(^), and a magnetic field intensity is given by (vector)B = B_0 x(^) + B_0 y(^). HINT: ROTATE THE HORIZONTAL PLANE SO ONE OF YOUR NEW AXES LINES UP WITH THE DIRECTION OF THE RESULTANT B FIELD. Write out and solve the equations for x, y, z as functions of time. Evaluate any/all constants in your solution.

Purchase this Solution

Solution Summary

In this solution we solve the given problem involving vector and velocity.

Solution Preview

** Please see the attached file for the complete solution **

Vectors v, E and B are plotted on the x,y and z rectangular coordinate system above.

Lorentz force experienced by the charged particle is given by:

F = q(E + v X B) [where X represents the cross product]

Substituting for v, E and B we get:

=> F = q[E0 + (v0 X (B0 + B0 )] = q[E0 + (v0 X B0(+ )]

=> F = q[E0 + v0 B0 ( X + X )] ...(1)

As = 0 and X = , equation (1) reduces to:

F = q[E0 + v0 B0 ) = q(E0 + B0) ...(2)

From equation (2) it is ...

Purchase this Solution

Free BrainMass Quizzes
Basic Physics

This quiz will test your knowledge about basic Physics.

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.

Intro to the Physics Waves

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

Classical Mechanics

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

The Moon

Test your knowledge of moon phases and movement.