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Classical electromagnetism: Difference between revisions

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</math>
 
where ''φ<math>\varphi(\textbf{r})''</math> is the electric potential, and ''C'' is the path over which the integral is being taken.
 
Unfortunately, this definition has a caveat. From [[Maxwell's equations]], it is clear that {{nowrap|∇ × '''E'''}} is not always zero, and hence the scalar potential alone is insufficient to define the electric field exactly. As a result, one must add a correction factor, which is generally done by subtracting the time derivative of the '''A''' vector potential described below. Whenever the charges are quasistatic, however, this condition will be essentially met.