Electric Field of Point Charge: Arbitrary Motion

Click For Summary
SUMMARY

The discussion centers on the electric field generated by a point charge undergoing constant acceleration in the +x direction. It is established that the electric field component E{x} at points along the y-axis yields negative values that trend towards negative infinity as y approaches zero. This extrapolation indicates an infinite self-force acting on the charge, which also affects the driving agent in the –x direction. For further insights, the discussion references Griffiths' "Introduction to Electrodynamics" and suggests using the program available on www.maxwellsociety.net for computations related to accelerated charges.

PREREQUISITES
  • Understanding of electric fields and point charges
  • Familiarity with concepts of acceleration in electromagnetism
  • Knowledge of self-force and its implications in electrodynamics
  • Basic proficiency in using computational tools for physics simulations
NEXT STEPS
  • Study Griffiths' "Introduction to Electrodynamics" for detailed theories on electric fields
  • Explore the program "Accelerated Charges and Associated Reaction Forces" on www.maxwellsociety.net
  • Research the mathematical derivation of electric fields for accelerating charges
  • Investigate the implications of infinite self-force in classical electrodynamics
USEFUL FOR

This discussion is beneficial for physicists, electrical engineers, and students studying electromagnetism, particularly those interested in the dynamics of point charges and their electric fields during arbitrary motion.

GRDixon
Messages
249
Reaction score
0
Given: a point charge (at rest at the Origin at time t=0) with a constant acceleration in the +x direction. Computation of [tex]E{x}[/tex] at points on the y-axis produces negative values that approach negative infinity as y approaches zero. Extrapolation to y=0 suggests an infinite self-force on the charge (and hence on the driving agent) in the –x direction. Comments? (Suggestion: Index “Electric field of point charge, arbitrary motion” in Griffiths, “Introduction to Electrodynamics”.)
 
Physics news on Phys.org
GRDixon said:
(Suggestion: Index “Electric field of point charge, arbitrary motion” in Griffiths, “Introduction to Electrodynamics”.)

Also, for a program that computes Ex, click on "Accelerated Charges and Associated Reaction Forces" at the top of www.maxwellsociety.net. The program is the first of two in the article's appendix.
 

Similar threads

  • · Replies 22 ·
Replies
22
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 6 ·
Replies
6
Views
585
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 14 ·
Replies
14
Views
3K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 14 ·
Replies
14
Views
3K
  • · Replies 5 ·
Replies
5
Views
513
  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 7 ·
Replies
7
Views
2K