Electric Field of Point Charge: Arbitrary Motion

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A point charge at rest at the origin experiences constant acceleration in the +x direction, leading to negative electric field values along the y-axis that approach negative infinity as y approaches zero. This behavior indicates an infinite self-force acting on the charge in the –x direction when extrapolated to y=0. The discussion suggests referencing Griffiths' "Introduction to Electrodynamics" for further insights on the electric field of a point charge in arbitrary motion. Additionally, a program for computing Ex is available on the Maxwell Society website, specifically under "Accelerated Charges and Associated Reaction Forces." The implications of these findings raise important questions about the nature of forces on accelerating charges.
GRDixon
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Given: a point charge (at rest at the Origin at time t=0) with a constant acceleration in the +x direction. Computation of E{x} 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”.)
 
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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.
 
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