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(a) the electron drift speed is estimate...

(a) 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 instnat a circuit is closed ?
(b) The electron drift arises due to the force expectenced by electrons in the electric field inside the conductor. But force should cause acceleration. Why then do the electrons acqutre a steady average drift speed ?
(c ) If the electron drift speed is so small, and the electrons's charge is small, how can we still obtain large amounts of current in a conductor ?
(d) When electrons drift in a metal from lower to higher potential, does it mean that all the 'free' electrons of the metal are moving in the same direction ?
(e) Are the paths of electrons straight lines between successive collisions (witht the positive ions of the metal) in the (i) absence of electric field, (ii) presence of electric field ?

Text Solution

Verified by Experts

(a) 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, mIt does take a little while for the current to reach its steady value.
(b) Each .free. electron does accelerate, increasing its drift speed until It collides with a positive ion of the metal. It loses its drift speed after collision but starts to accelerate and increases its drift speed again only to suffer a collision again and so on. On the average, therefore, electrons acquire only a drift speed.
(c) Simple, because the electron number density is enormous, ` ~~10 ^(29)m^(-3).`
(d) By no means. The drift velocity is superposed over the large random velocities of electrons.
(e) In the absence of electric field, the paths are straight lines, in the presence of electric field, the paths are, in general, curved.
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