Einstein, based on his argument in section 6 of 1905 paper, claimed:
“If a unit electric point charge is in motion in an electromagnetic field, the force acting upon it is equal to the electric force which is present at the locality of the charge, and which we ascertain by transformation of the field to a system of co-ordinates at rest relatively to the electrical charge.”
Simply, total electromagnetic forces, acting on a moving charge, claimed to be equal calculated in any inertial reference frame; F’ = F.
Using an example, Feynman, in his lectures, failed to prove that electromagnetic forces are equal if calculated in the two inertial frames suggested by Einstein.
His result was F’ = γ F
Why did Feynman fail? Can you find an example to support Einstein’s claim?
Attached file presents and reviews Feynman’s analysis and calculation.
Preprint Electromagnetic Force and Special Relativity