In Kleppner and Kolenkow's Introduction to Classical Mechanics, it reads,
One system that is particularly troublesome for our present formulation of Newtonian mechanics is the electromagnetic field. Paradoxes can arise when such a field is present. For instance, two charged bodies which interact electrically actually interact via the electric fields they cre- ate. The interaction is not instantaneously transmitted from one particle to the other but propagates at the speed of light. During the propagation time there is an apparent breakdown of Newton’s third law; the forces on the particles are not equal and opposite.
In Coulomb's Law, the two forces are exactly equal and opposite - what forces is this apparent paradox referring to?