In Textual Example 1, the electron drift speed is estimated to be only a few `mm s^(-1)` for currents in the range of a few amperes? How then is current established almost the instant a circuit is closed?

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Electric field is established throughout the circuit, almost instantly (with the speed of light) (causing at every point a local electron drift. Establishment of a current does not have to wait for electrons from one end of the conductor travelling to the other end. However it does take a little while for the current to reach its steady value.

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