Abstract
The relativistic conservation law involving the center of energy is reviewed and illustrated using simple examples from classical electromagnetic theory. It is emphasized that this conservation law is parallel to the conservation laws for energy, linear momentum, and angular momentum, because it arises from the generators of the Poincare group for electromagnetic theory; yet this relativistic law reflecting the continuous flow of energy is not mentioned in text books. The illustrations include situations where external forces are present and are absent. A parallel plate capacitor, a flattened slip-joint solenoid, and two interacting charges are treated.
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