By describing the motion of a charged particle in the well-known nonuniform field of a current-carrying long straight wire, a variety of teaching/learning opportunities are described.

  1. Brief review of a standard problem

  2. Vector analysis

  3. Dimensionless variables

  4. Coupled differential equations

  5. Numerical solutions

1.
D. C.
Giancoli
,
Physics
, 7th ed. (
Pearson
,
Glenview, IL
,
2004
), Chap. 20.
2.
R. D.
Knight
,
Physics
, 3rd ed. (
Pearson/Addison-Wesley
,
San Francisco, CA
,
2008
), Chap. 33.
3.
D. J.
Griffiths
,
Introduction To Electrodynamics
, 3rd ed. (
Prentice Hall
,
New Jersey
,
1999
), Chap. 5.
4.
M. Kaan
Öztürk
, “
Trajectories of charged particles trapped in Earth's magnetic field
,”
Am. J. Phys.
80
,
420
428
(
May 2012
).
5.
I. H.
Hutchinson
,
Introduction to Plasma Physics
, silas.psfc.mit.edu/introplasma.
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