Introduction to Electrodynamics
4th Edition
ISBN: 9781108420419
Author: David J. Griffiths
Publisher: Cambridge University Press
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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 =
An electron of mass m is discharged with an initial
horizontal velocity of vo. It is subjected to two fields of
force for which F, Fo and Fy = 0.3 Fo, where Fo is
constant (Figure 1)
=
Determine the equation of the speed of the electron at any time t
Express your answer in terms of the variables m, Fo, vo, t and appropriate constants.
Figure
A
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v(t)=
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Part B
Determine the equation of the path of the electron
Express your answer in terms of the variables m, Fo,, vo. y and appropriate constants.
ΜΕ ΑΣΦ Π
vec
z(y)
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