On the foundations of the classical relativistic theory of the field of an accelerated extended charge

TL;DR

This paper investigates the classical relativistic theory of an extended charged particle, focusing on how its finite size and acceleration influence its electromagnetic field, under the assumption of spherical symmetry and linear current dependence.

Contribution

It introduces a framework for analyzing the field of an accelerated extended charge considering its finite size and specific current structure.

Findings

Derived equations describing the field of an extended charge under acceleration.

Showed the influence of charge size on electromagnetic field behavior.

Provided insights into the relativistic dynamics of extended charges.

Abstract

The effect of nonzero extent of an electric charge is considered within the assumption that the structure of the charge at rest is spherically-symmetric and the current vector is linear in the acceleration.