Introduction to Electrodynamics
4th Edition
ISBN: 9781108420419
Author: David J. Griffiths
Publisher: Cambridge University Press
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Question
Chapter 5.1, Problem 5.1P
To determine
Part(a)
The nature of charge.
Part(b)
The momentum of the particle.
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A particle of electric charge q and mass m is initially at rest in the presence of a uniform electric field E and a uniform magnetic field B, perpendicular to E (directions are not specified in this problem).
Describe the subsequent motion of the particle. Namely, if we use a Cartesian laboratory frame of reference whose origin is the initial position of the particle, you must find the particle trajectory (x(t), y(t), z(t)).
As shown below, a positively charged particle is immersed in a B-field and as a result is moving COUNTERCLOCKWISE in a circle. Determine the direction of the B-field & the magnetic force. Assume VLB and
that there are no other forces acting on the particle.
A.) For the moment shown, determine the directions of the following vectors.
Direction of V: Choose direction ✓
Direction of FB: [Choose direction
Direction of B: Choose direction
B.) Determine the magnitude of the particle's tangential acceleration.
atan =
C.) Based on your answers to (A) & (B), determine how the particle's speed & KE will behave while it is in the B-field. Also
determine how much work the magnetic force will do on the particle.
The particle's speed will --- Choose --
The particle's KE will - Choose ---
Work done by the magnetic force =
A charged particle of mass m and positive charge q moves in uniform electric
3.
and magnetic fields, E and B, both pointing in the z direction. Ignoring gravity, use
Newton's second law to write down the equation of motion for the velocity of the particle
into its three components (a set of equations containing velocities and their derivatives).
Solve the equations for v with initial velocity (vo, 0, 0).
Chapter 5 Solutions
Introduction to Electrodynamics
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