c.1300, "running, flowing," from Old French corant "running, lively, eager, swift," present participle of corre "to run," from Latin currere "to run, move quickly" (of persons or things), from PIE *kers- "to run" (cognates: Greek -khouros "running," Lithuanian karsiu "go quickly," Old Norse horskr "swift," Old Irish and Middle Welsh carr "cart, wagon," Breton karr "chariot," Welsh carrog "torrent"). Meaning "prevalent, generally accepted" is from 1560s.

late 14c., from Middle French corant (Modern French courant), from Old French corant (see current, adj.). Applied 1747 to the flow of electrical force.