Does the electromotive force (always) represent work?

TL;DR

This paper critically examines the common definition of electromotive force as work done per unit charge, arguing that this interpretation is not universally valid and highlighting specific conditions where it holds.

Contribution

It clarifies the limitations of the traditional EMF definition and provides examples to illustrate when the concept accurately represents work and when it does not.

Findings

EMF is not always equivalent to work done per unit charge.

The validity of EMF as work depends on specific circuit conditions.

Examples demonstrate cases where EMF does and does not represent work.

Abstract

In the literature of Electromagnetism, the electromotive force of a "circuit" is often defined as work done on a unit charge during a complete tour of the latter around the circuit. We explain why this statement cannot be generally regarded as true, although it is indeed true in certain simple cases. Several examples are used to illustrate these points.